Atoms, Isotopes & Ions

General Chemistry · Dr. Karmach

Dr. Karmach

By the end of this unit, you can…

  • Locate protons, neutrons, and electrons in the atom and state what each count determines
  • Read and write isotope symbols, converting between mass number, atomic number, and particle counts
  • Calculate the average atomic mass of an element from isotope masses and abundances
  • Give an element's period, group, family, and metal/nonmetal/metalloid class
  • Predict the charge an atom takes when it forms an ion, and count the particles in that ion
  • Name ionic and molecular compounds and acids, and write formulas from names
  • Recognize the common polyatomic ions and build formulas that contain them
  • Name a straight-chain alkane from its carbon count, build its CₙH₂ₙ₊₂ formula, and recognize the common functional-group families
  • Choose the right naming system for any formula (fixed or variable ionic, molecular, acid), rejecting the other systems’ names
Dr. Karmach

Today's route 🗺️

  1. How We Found the Atom
  2. Atomic Structure
  3. Isotope Notation
  4. Average Atomic Mass
  5. Periodic Table Organization
  6. Ions
  7. Naming Ionic Compounds
  8. Polyatomic Ions
  9. Naming Molecular Compounds and Acids
  10. Organic Nomenclature Basics
  11. Choosing the Naming System
Dr. Karmach

1 · How We Found the Atom

Name the two mass laws the balance measured first, trace how the atomic model was redrawn twice, Dalton's atoms to Thomson's electron to Rutherford's nucleus, and state the experiment that forced each redraw.

Dr. Karmach

Nobody has ever seen an atom

Yet you know what one looks like. That picture was redrawn twice in about a century, each time because an experiment said no. Here is the evidence trail.

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A model earns its keep

solid ball → plum pudding → nuclear atom
each arrow: one experiment the old picture could not explain

A model is not a guess: it is the simplest picture that explains every experiment. A result the picture cannot explain forces a redraw, and each redraw keeps the parts that still work.

Dr. Karmach

The law of conservation of mass

total mass before a reaction = total mass after
Lavoisier, 1789: reactions run in sealed flasks, weighed before and after

Two measured laws came before any atom. The first is Lavoisier's: weigh everything in, weigh everything out, and the totals match. Matter changes form; it never appears or disappears.

Dr. Karmach

Worked example: heating limestone

CaCO₃ → CaO + CO₂
given: 15.9 g CaCO₃ heated · 8.3 g CaO remains · wanted: mass of CO₂ released

Heating 15.9 g of limestone leaves 8.3 g of solid calcium oxide; the carbon dioxide escapes into the air. Find the mass of that gas without catching it.

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Worked example: solution

CaCO₃ → CaO + CO₂
given: 15.9 g CaCO₃ · 8.3 g CaO remains · wanted: mass of CO₂

Apply the law

The totals must match: 15.9 g of reactant becomes 8.3 g of solid plus every gram of escaped gas.

Dr. Karmach

Worked example: solution

CaCO₃ → CaO + CO₂
given: 15.9 g CaCO₃ · 8.3 g CaO remains · wanted: mass of CO₂
Apply the law Subtract
mass of CO₂ = 15.9 g − 8.3 g = 7.6 g
8.3 + 7.6 = 15.9 ✓ · the totals match
Dr. Karmach

Worked example: solution

CaCO₃ → CaO + CO₂
given: 15.9 g CaCO₃ · 8.3 g CaO remains · wanted: mass of CO₂
Apply the law Subtract
mass of CO₂ = 15.9 g − 8.3 g = 7.6 g
8.3 + 7.6 = 15.9 ✓ · the totals match
The gas escaped unseen, yet its mass is known: conservation turns one subtraction into a measurement. ✓
Dr. Karmach

The law of definite proportions

100 g of water = 11.2 g hydrogen + 88.8 g oxygen
rain, seawater, or lab-made: the same split in every sample

The second law is Proust's: a compound's elements always combine in the same proportions by mass. And when two elements form two compounds, those proportions shift by whole-number steps: multiple proportions.

Dr. Karmach

Dalton: matter comes in atoms

element = one kind of atom · compound = a fixed ratio of atoms
water: 2 H for every 1 O, in every sample ever measured
a reaction rearranges atoms
none created, none destroyed, none split

In 1803 Dalton explained both laws with one idea: matter comes in tiny indivisible pieces, atoms. Indestructible atoms keep mass conserved; atoms combining only in whole numbers keep proportions definite.

Dr. Karmach

Thomson: the atom has parts

every metal tested → the same negative particle
the electron: about 1,800 times lighter than a hydrogen atom

In 1897 Thomson pulled identical negative particles from every metal he tried: the electron. Atoms have parts. To keep the atom neutral, he dotted the electrons through a diffuse positive sphere: the plum pudding model.

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Rutherford: a tiny, dense nucleus

Left: what the pudding atom predicts. Right: what Rutherford's team observed in 1909. A bounce that hard needs a center holding the atom's positive charge and nearly all its mass.

Dr. Karmach

Check yourself

  1. State Dalton's picture of the atom in three claims, and name the two mass laws those claims explain. Which part did the cathode-ray tube break, and which parts still stand?
  2. For the gold foil: what did the pudding model predict, what was observed, and what does each half of the observation prove about the atom?

Rutherford's atom left one question standing, why the electrons do not fall into the nucleus that attracts them, and the answer took a new model built from the physics of light.

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2 · Atomic Structure

Count the protons, neutrons, and electrons in any neutral atom, and name the element from its proton count.

Dr. Karmach

About 90 kinds of atoms

A gold ring, a copper wire, a diamond: each one kind of atom. Nature supplies about 90 of 118 known kinds, the naturally occurring elements; labs make the rest.

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Protons name the element

An atom with six protons is carbon, every time. Electrons come and go in ordinary chemistry; neutron counts vary among atoms of one element. Change the proton count and the atom is a different element.

Dr. Karmach

Three particles build every atom

proton p⁺ · charge 1+ · relative mass 1
in the nucleus
neutron n⁰ · charge 0 · relative mass ≈ 1
in the nucleus
electron e⁻ · charge 1− · relative mass ≈ 1/1840
outside the nucleus

The nucleus is the dense center; electrons fill the space around it. The names carry the charges: Proton Positive, Neutron Neutral.

Dr. Karmach

Where the mass sits

Protons and neutrons give the atom nearly all its mass, packed into the tiny nucleus. If the nucleus were a marble, the atom would be a stadium.

Dr. Karmach

Two numbers describe an atom

atomic number Z = protons
Z names the element: every carbon atom has Z = 6
mass number A = protons + neutrons
A counts the particles in the nucleus of one atom

Z is the same for every atom of an element. In a neutral atom, electrons match protons, so the charges cancel.

Dr. Karmach

Reading the periodic table

The table lists the elements in order of Z. A tile carries the atomic number and the average mass of the element's atoms. Metals fill the left and center; nonmetals sit to the upper right.

Dr. Karmach

The method

  1. Match protons and Z. The atomic number is the proton count; it names the element.
  2. Use A = protons + neutrons. Subtract to find whichever count is missing.
  3. Match electrons to protons. A neutral atom holds equal numbers.
Dr. Karmach

Worked example 1: silicon

silicon: Z = 14 · mass number A = 29
given: one neutral atom · wanted: protons, neutrons, electrons

A neutral silicon atom has mass number 29. Count its protons, neutrons, and electrons.

Dr. Karmach

Worked example 1: solution

silicon: Z = 14 · mass number A = 29
given: one neutral atom · wanted: protons, neutrons, electrons

Step 1 · Match protons and Z

Z = 14, so the atom holds 14 protons, and 14 protons is what makes it silicon.

Dr. Karmach

Worked example 1: solution

silicon: Z = 14 · mass number A = 29
given: one neutral atom · wanted: protons, neutrons, electrons
Step 1 · Match protons and Z Step 2 · Use A = protons + neutrons

The mass number counts protons and neutrons together: neutrons = 29 − 14 = 15.

Dr. Karmach

Worked example 1: solution

silicon: Z = 14 · mass number A = 29
given: one neutral atom · wanted: protons, neutrons, electrons
Step 1 · Match protons and Z Step 2 · Use A = protons + neutrons Step 3 · Match electrons to protons
silicon → 14 p⁺ · 15 n⁰ · 14 e⁻
protons = Z = 14 · neutrons = 29 − 14 = 15 · electrons = 14 → neutral
Dr. Karmach

Worked example 1: solution

silicon: Z = 14 · mass number A = 29
given: one neutral atom · wanted: protons, neutrons, electrons
Step 1 · Match protons and Z Step 2 · Use A = protons + neutrons Step 3 · Match electrons to protons
silicon → 14 p⁺ · 15 n⁰ · 14 e⁻
protons = Z = 14 · neutrons = 29 − 14 = 15 · electrons = 14 → neutral
Rebuild the mass number: 14 + 15 = 29, the given A. ✓
Dr. Karmach

Worked example 1: the route on the map

silicon: Z = 14 · A = 29 → 14 p⁺ · 15 n⁰ · 14 e⁻
given: Z and A · found: protons, neutrons, electrons

Protons first, from Z. Neutrons by subtraction, 29 − 14 = 15. Electrons by matching the protons. ✓
Dr. Karmach

Worked example 2: copper

periodic-table tile: 29 · Cu · 63.55
given: one neutral atom, mass number A = 65 · wanted: protons, neutrons, electrons

A neutral copper atom has mass number 65. The tile supplies the atomic number. Count the protons, neutrons, and electrons.

Dr. Karmach

Worked example 2: solution

periodic-table tile: 29 · Cu · 63.55
given: one neutral atom, mass number A = 65

Step 1 · Match protons and Z

The tile gives Z = 29: the atom holds 29 protons, and 29 protons is copper.

Dr. Karmach

Worked example 2: solution

periodic-table tile: 29 · Cu · 63.55
given: one neutral atom, mass number A = 65
Step 1 · Match protons and Z Step 2 · Use A = protons + neutrons

Neutrons = 65 − 29 = 36. The tile's 63.55 is an average mass of many atoms; the mass number 65 belongs to this one atom.

Dr. Karmach

Worked example 2: solution

periodic-table tile: 29 · Cu · 63.55
given: one neutral atom, mass number A = 65
Step 1 · Match protons and Z Step 2 · Use A = protons + neutrons Step 3 · Match electrons to protons
copper → 29 p⁺ · 36 n⁰ · 29 e⁻
protons = Z = 29 · neutrons = 65 − 29 = 36 · electrons = 29 → neutral
Dr. Karmach

Worked example 2: solution

periodic-table tile: 29 · Cu · 63.55
given: one neutral atom, mass number A = 65
Step 1 · Match protons and Z Step 2 · Use A = protons + neutrons Step 3 · Match electrons to protons
copper → 29 p⁺ · 36 n⁰ · 29 e⁻
protons = Z = 29 · neutrons = 65 − 29 = 36 · electrons = 29 → neutral
29 + 36 rebuilds the given mass number, 65. The tile's 63.55 never entered a particle count. ✓
Dr. Karmach

Worked example 2: the route on the map

tile 29 · Cu · 63.55 · A = 65 → 29 p⁺ · 36 n⁰ · 29 e⁻
given: the tile and A · found: protons, neutrons, electrons

The tile supplied Z. Its 63.55 stayed off the route: no count uses the average mass. ✓
Dr. Karmach

Your turn: fluorine

fluorine: Z = 9 · mass number A = 19
one neutral atom
step question answer
1 · match protons and Z protons?
2 · use A = protons + neutrons 19 − 9 = ? neutrons
3 · match electrons to protons electrons?

Complete the three counts.

Dr. Karmach

Your turn: fluorine

fluorine: Z = 9 · mass number A = 19
one neutral atom
step question answer
1 · match protons and Z protons?
2 · use A = protons + neutrons 19 − 9 = ? neutrons
3 · match electrons to protons electrons?

Complete the three counts.

fluorine → 9 p⁺ · 10 n⁰ · 9 e⁻
protons = Z = 9 · neutrons = 19 − 9 = 10 · electrons = 9 → neutral
Dr. Karmach

Where this goes wrong

Naming the element from the electron count. A neutral atom holds equal electrons and protons, so the two counts agree. Electrons are gained and lost in chemical changes; the proton count is the one that names the element.
Reading the tile's decimal as a mass number. Chlorine's 35.45 is an average over many atoms, not a count. A mass number is a whole number and belongs to one specific atom.
Taking the mass number as the neutron count. A = 29 does not mean 29 neutrons. The mass number counts protons and neutrons together: for silicon, neutrons = 29 − 14 = 15.
Dr. Karmach

Practice 1

zinc: Z = 30 · mass number A = 66
one neutral atom

A neutral zinc atom has mass number 66. Which row counts its particles?

  1. p⁺: 30 · n⁰: 36 · e⁻: 30
  2. p⁺: 30 · n⁰: 96 · e⁻: 30
  3. p⁺: 30 · n⁰: 66 · e⁻: 30
  4. p⁺: 36 · n⁰: 30 · e⁻: 36
Dr. Karmach

Practice 1 · answer: A

zinc, Z = 30, A = 66 → 30 p⁺ · 36 n⁰ · 30 e⁻ (answer A)
protons = Z = 30 · neutrons = 66 − 30 = 36 · electrons = 30 → neutral

C read the mass number as the neutron count: 66. B added instead of subtracting: 66 + 30 = 96. D swapped protons and neutrons: 36 protons is a different element: krypton, not zinc.

30 protons + 36 neutrons returns the mass number, 66. ✓
Dr. Karmach

Worked example 3: the element from the counts

one neutral atom: 24 p⁺ · 28 n⁰ · 24 e⁻
wanted: the element and its mass number

An atom holds 24 protons, 28 neutrons, and 24 electrons. Identify the element and give the mass number.

A common first attempt: A = protons + electrons = 24 + 24 = 48. Test it against what the mass number counts.

Dr. Karmach

Worked example 3: solution

A common first attempt

24 p⁺ · 28 n⁰ · 24 e⁻ · attempt: A = 24 + 24 = 48?
electrons sit outside the nucleus and weigh about 1/1840 of a proton ✗

The mass number counts the nucleus. Electrons never enter it.

Dr. Karmach

Worked example 3: solution

A common first attempt

24 p⁺ · 28 n⁰ · 24 e⁻ · attempt: A = 24 + 24 = 48?
electrons sit outside the nucleus and weigh about 1/1840 of a proton ✗
Step 1 · Match protons and Z

24 protons means Z = 24: the element is chromium. The neutron and electron counts have no part in the identity.

Dr. Karmach

Worked example 3: solution

A common first attempt

24 p⁺ · 28 n⁰ · 24 e⁻ · attempt: A = 24 + 24 = 48?
electrons sit outside the nucleus and weigh about 1/1840 of a proton ✗
Step 1 · Match protons and Z Step 2 · Use A = protons + neutrons

Only the nucleus counts: A = 24 + 28 = 52.

Dr. Karmach

Worked example 3: solution

A common first attempt

24 p⁺ · 28 n⁰ · 24 e⁻ · attempt: A = 24 + 24 = 48?
electrons sit outside the nucleus and weigh about 1/1840 of a proton ✗
Step 1 · Match protons and Z Step 2 · Use A = protons + neutrons Step 3 · Match electrons to protons
chromium: Z = 24 · A = 52
24 p⁺ · 28 n⁰ · 24 e⁻ · electrons equal protons: neutral ✓
Dr. Karmach

Worked example 3: solution

A common first attempt

24 p⁺ · 28 n⁰ · 24 e⁻ · attempt: A = 24 + 24 = 48?
electrons sit outside the nucleus and weigh about 1/1840 of a proton ✗
Step 1 · Match protons and Z Step 2 · Use A = protons + neutrons Step 3 · Match electrons to protons
chromium: Z = 24 · A = 52
24 p⁺ · 28 n⁰ · 24 e⁻ · electrons equal protons: neutral ✓
A comes from the nucleus alone: 24 + 28 = 52. The electrons never entered the sum.
Dr. Karmach

Worked example 3: the route on the map

24 p⁺ · 28 n⁰ · 24 e⁻ → chromium · A = 52
given: all three counts · found: the element and A

The links run the other way: protons out to the element, protons plus neutrons into A. The electrons only confirm neutral. ✓
Dr. Karmach

Take-home: the mass number counts the nucleus

A = protons + neutrons
24 + 28 = 52 ✓ · never protons + electrons: 24 + 24 = 48 ✗

Electrons balance the charge and fill the atom's volume. At about 1/1840 the mass of a proton, they never enter the mass number.

Dr. Karmach

Practice 2

A = 27 · 14 n⁰ · no net charge
wanted: the element, its protons, its electrons

Which row identifies this atom?

  1. cobalt · 27 p⁺ · 27 e⁻
  2. silicon · 14 p⁺ · 14 e⁻
  3. aluminum · 13 p⁺ · 14 e⁻
  4. aluminum · 13 p⁺ · 13 e⁻
Dr. Karmach

Practice 2 · answer: D

protons = A − neutrons = 27 − 14 = 13 → aluminum · 13 p⁺ · 13 e⁻ (answer D)
13 protons = Z = aluminum · neutral: electrons = protons = 13

A read the mass number as the atomic number: Z = 27 is cobalt, and 27 protons leave no room for 14 neutrons in a nucleus of 27. B read the neutron count as the proton count: Z = 14 is silicon, but neutrons never name the element. C matched the electrons to the neutrons; a neutral atom matches them to the protons, 13.

Rebuild the nucleus: 13 + 14 = 27, the given mass number. ✓
Dr. Karmach

Check yourself

  1. Which count names the element, and what happens to an atom's identity when that count changes?
  2. A neutral manganese atom (Z = 25) has mass number 55. Count its protons, neutrons, and electrons.

Chemists record all three counts in one symbol: the element symbol with its atomic number and mass number attached: isotope notation. Atoms of one element can differ in neutron count; the notation tells those atoms apart.

Dr. Karmach

3 · Isotope Notation

Read and write isotope symbols in both notations and count the protons, neutrons, and electrons in a neutral atom of any isotope.

Dr. Karmach

Heavy water

Heavy water looks, pours, and reacts like ordinary water, but a liter of it weighs about a tenth more. The extra mass sits inside its hydrogen atoms.

Dr. Karmach

Same element, different mass

The proton count fixes the element: one proton means hydrogen. Neutrons add mass and never change the element. Atoms with the same protons but different neutrons are isotopes of one element.

Dr. Karmach

Two numbers label the nucleus

atomic number Z = protons
Z names the element: every chlorine atom has Z = 17
mass number A = protons + neutrons
a chlorine atom with 20 neutrons: A = 17 + 20 = 37

Both are whole-number counts of the particles in one atom. Rearranged, A − Z isolates the neutrons.

Dr. Karmach

Writing an isotope down

The nuclide symbol carries both counts: mass number upper left, atomic number lower left (though Z may be dropped, since the element symbol already fixes it). Hyphen notation writes the name, then A.

Dr. Karmach

Isotopes of an element share chemistry

³⁵Cl: 17 p⁺ · 18 n⁰ · 17 e⁻   ·   ³⁷Cl: 17 p⁺ · 20 n⁰ · 17 e⁻
same electron count → same bonds · 18 vs 20 neutrons → different mass only

Electrons make the chemistry, and a neutral atom holds electrons equal to its protons. Isotopes share the proton count, so both chlorine isotopes form the same compounds.

Dr. Karmach

The method

  1. Find Z. The element and its atomic number fix each other on the periodic table.
  2. Apply A = Z + N. Any two of the three counts give the third.
  3. Count electrons. Neutral atom: electrons = protons.
Dr. Karmach

Worked example 1: reading a symbol

⁶⁵₂₉Cu: one neutral atom
given: A = 65 · Z = 29 · wanted: protons, neutrons, electrons

About a third of natural copper atoms carry this symbol. Count the protons, neutrons, and electrons in one of them.

Dr. Karmach

Worked example 1: solution

⁶⁵₂₉Cu: one neutral atom
given: A = 65 · Z = 29 · wanted: protons, neutrons, electrons

Step 1 · Find Z

The lower-left number is the atomic number: Z = 29, so 29 protons. The periodic table agrees: element 29 is copper.

Dr. Karmach

Worked example 1: solution

⁶⁵₂₉Cu: one neutral atom
given: A = 65 · Z = 29 · wanted: protons, neutrons, electrons
Step 1 · Find Z Step 2 · Apply A = Z + N
neutrons = A − Z = 65 − 29 = 36
65 heavy particles − 29 protons = 36 neutrons
Dr. Karmach

Worked example 1: solution

⁶⁵₂₉Cu: one neutral atom
given: A = 65 · Z = 29 · wanted: protons, neutrons, electrons
Step 1 · Find Z Step 2 · Apply A = Z + N
neutrons = A − Z = 65 − 29 = 36
65 heavy particles − 29 protons = 36 neutrons
Step 3 · Count electrons
⁶⁵₂₉Cu → 29 p⁺ · 36 n⁰ · 29 e⁻
neutral atom: electrons = protons = 29 · check: 29 + 36 = 65 = A ✓
Dr. Karmach

Worked example 1: solution

⁶⁵₂₉Cu: one neutral atom
given: A = 65 · Z = 29 · wanted: protons, neutrons, electrons
Step 1 · Find Z Step 2 · Apply A = Z + N
neutrons = A − Z = 65 − 29 = 36
65 heavy particles − 29 protons = 36 neutrons
Step 3 · Count electrons
⁶⁵₂₉Cu → 29 p⁺ · 36 n⁰ · 29 e⁻
neutral atom: electrons = protons = 29 · check: 29 + 36 = 65 = A ✓
Neutrons outnumber protons, 36 to 29, typical beyond the lightest elements. The sum rebuilds A: 29 + 36 = 65. ✓
Dr. Karmach

Worked example 1: the route on the map

⁶⁵₂₉Cu: one neutral atom
given: A = 65 · Z = 29 · found: 29 p⁺ · 36 n⁰ · 29 e⁻

Step 1: Z = 29 → copper. Step 2: A and Z in, N out: 65 − 29 = 36. Step 3: 29 protons → 29 electrons. ✓
Dr. Karmach

Worked example 2: hyphen notation

carbon-14: one neutral atom
given: the name carries A = 14 · wanted: protons, neutrons, electrons

Living wood holds a trace of carbon-14; the amount left in an artifact dates it. Count the particles in one neutral atom.

A common first attempt: carbon-14 holds 14 neutrons. Test it.

Dr. Karmach

Worked example 2: the first attempt

carbon-14: one neutral atom
given: A = 14 · Z not written: the periodic table supplies it

A common first attempt

carbon-14 → 14 neutrons?
14 counts protons and neutrons together; the protons are still inside ✗
Dr. Karmach

Worked example 2: the first attempt

carbon-14: one neutral atom
given: A = 14 · Z not written: the periodic table supplies it

A common first attempt

carbon-14 → 14 neutrons?
14 counts protons and neutrons together; the protons are still inside ✗
The 14 is the mass number: every heavy particle in the nucleus. Some of those particles are protons, so the neutron count must be smaller than 14.
Dr. Karmach

Worked example 2: the first attempt

carbon-14: one neutral atom
given: A = 14 · Z not written: the periodic table supplies it

A common first attempt

carbon-14 → 14 neutrons?
14 counts protons and neutrons together; the protons are still inside ✗
The 14 is the mass number: every heavy particle in the nucleus. Some of those particles are protons, so the neutron count must be smaller than 14.
A is a total; the protons take part of it. Finding neutrons needs a subtraction, not a copy of A.
Dr. Karmach

Worked example 2: solution

carbon-14: one neutral atom
given: A = 14 · Z not written: the periodic table supplies it

Step 1 · Find Z

Carbon is element 6 on the periodic table: Z = 6, so 6 protons.

Dr. Karmach

Worked example 2: solution

carbon-14: one neutral atom
given: A = 14 · Z not written: the periodic table supplies it
Step 1 · Find Z Step 2 · Apply A = Z + N
neutrons = A − Z = 14 − 6 = 8
of the 14 heavy particles, 6 are protons and 8 are neutrons
Dr. Karmach

Worked example 2: solution

carbon-14: one neutral atom
given: A = 14 · Z not written: the periodic table supplies it
Step 1 · Find Z Step 2 · Apply A = Z + N
neutrons = A − Z = 14 − 6 = 8
of the 14 heavy particles, 6 are protons and 8 are neutrons
Step 3 · Count electrons
carbon-14 → 6 p⁺ · 8 n⁰ · 6 e⁻
neutral atom: electrons = protons = 6 · check: 6 + 8 = 14 ✓
Dr. Karmach

Worked example 2: solution

carbon-14: one neutral atom
given: A = 14 · Z not written: the periodic table supplies it
Step 1 · Find Z Step 2 · Apply A = Z + N
neutrons = A − Z = 14 − 6 = 8
of the 14 heavy particles, 6 are protons and 8 are neutrons
Step 3 · Count electrons
carbon-14 → 6 p⁺ · 8 n⁰ · 6 e⁻
neutral atom: electrons = protons = 6 · check: 6 + 8 = 14 ✓
8 of the 14 heavy particles are neutrons; the other 6 are the protons. The sum rebuilds A: 6 + 8 = 14. ✓
Dr. Karmach

Worked example 2: the route on the map

carbon-14: one neutral atom
given: A = 14 · found: 6 p⁺ · 8 n⁰ · 6 e⁻

Step 1 starts at the name: carbon → Z = 6. Step 2: A and Z in, N out: 14 − 6 = 8. Step 3: 6 electrons. The 14 enters at A = Z + N, never as N. ✓
Dr. Karmach

Take-home: the mass number is a total

carbon-14: A = 14 = 6 protons + 8 neutrons
the total already includes the protons
neutrons = A − Z = 14 − 6 = 8
subtracting the protons out leaves the neutrons

A counts every heavy particle in the nucleus, protons included. Reading A as a neutron count counts the protons twice; subtracting Z removes them.

Dr. Karmach

Your turn: sulfur-34

³⁴₁₆S: one neutral atom
A = 34 upper left · Z = 16 lower left
step reading count
1 · Find Z lower left: Z = 16 protons =
2 · Apply A = Z + N N = 34 − 16 neutrons =
3 · Count electrons neutral atom electrons =

Complete the three counts.

Dr. Karmach

Your turn: sulfur-34

³⁴₁₆S: one neutral atom
A = 34 upper left · Z = 16 lower left
step reading count
1 · Find Z lower left: Z = 16 protons =
2 · Apply A = Z + N N = 34 − 16 neutrons =
3 · Count electrons neutral atom electrons =

Complete the three counts.

³⁴₁₆S → 16 p⁺ · 18 n⁰ · 16 e⁻
neutrons: 34 − 16 = 18 · check: 16 + 18 = 34 ✓
Dr. Karmach

Where this goes wrong

³⁷₁₇Cl = chlorine-37
A = 37 · Z = 17 · neutrons = 37 − 17 = 20
Reading A as the neutron count. "37 neutrons" reads a total as one of its parts. The 37 counts protons and neutrons together; subtract: 37 − 17 = 20 neutrons.
Adding A and Z. 37 + 17 = 54 counts the 17 protons twice: A already includes them. Neutrons = A − Z, never A + Z.
Reading Z as the neutron count. The 17 counts protons. The neutron count never appears in the symbol; only the subtraction produces it.
Expecting A on the periodic table. The table lists 35.45 for chlorine, and that is not a mass number. A is a whole-number count for one specific atom.
Dr. Karmach

Practice 1

strontium-88 = ⁸⁸Sr · atomic number 38
the most common strontium atom in nature

How many neutrons are in one atom of strontium-88?

  1. 88
  2. 50
  3. 126
  4. 38
Dr. Karmach

Practice 1 · answer: B

⁸⁸Sr: neutrons = A − Z = 88 − 38 = 50 (answer B)
38 p⁺ · 50 n⁰ · 38 e⁻ · check: 38 + 50 = 88 ✓

A read the mass number as the neutron count; 88 counts protons and neutrons together. C added the two numbers: 88 + 38 = 126, counting the protons twice. D read the atomic number; 38 counts the protons.

Beyond the lightest elements, neutrons outnumber protons: 50 > 38 fits. ✓
Dr. Karmach

Practice 2

cadmium-114 (hyphen notation)
the periodic table: cadmium is element 48

Cadmium-114 is the most common cadmium atom. How many neutrons does one neutral atom hold?

  1. 114
  2. 48
  3. 66
  4. 162
Dr. Karmach

Practice 2 · answer: C

cadmium-114: neutrons = A − Z = 114 − 48 = 66 (answer C)
48 p⁺ · 66 n⁰ · 48 e⁻ · check: 48 + 66 = 114 ✓

A read the mass number as the neutron count; 114 counts protons and neutrons together. B read the atomic number; 48 counts the protons. D added the two numbers: 114 + 48 = 162, counting the protons twice.

The neutron excess grows with heavier elements: 66 neutrons to 48 protons. ✓
Dr. Karmach

Worked example 3: writing the symbol

a neutral gallium atom with 38 neutrons
given: the element · N = 38 · wanted: nuclide symbol and hyphen notation

This time the particle counts are given and the symbol is wanted. Write both notations for this atom. The same steps apply.

Dr. Karmach

Worked example 3: solution

a neutral gallium atom with 38 neutrons
given: the element · N = 38 · wanted: nuclide symbol and hyphen notation

Step 1 · Find Z

The periodic table places gallium at element 31: Z = 31, so 31 protons.

Dr. Karmach

Worked example 3: solution

a neutral gallium atom with 38 neutrons
given: the element · N = 38 · wanted: nuclide symbol and hyphen notation
Step 1 · Find Z Step 2 · Apply A = Z + N
A = Z + N = 31 + 38 = 69
31 protons + 38 neutrons = 69 heavy particles
Dr. Karmach

Worked example 3: solution

a neutral gallium atom with 38 neutrons
given: the element · N = 38 · wanted: nuclide symbol and hyphen notation
Step 1 · Find Z Step 2 · Apply A = Z + N
A = Z + N = 31 + 38 = 69
31 protons + 38 neutrons = 69 heavy particles
Assemble the notation
⁶⁹₃₁Ga = gallium-69
A = 69 upper left · Z = 31 lower left · the hyphen form keeps only A
Dr. Karmach

Worked example 3: solution

a neutral gallium atom with 38 neutrons
given: the element · N = 38 · wanted: nuclide symbol and hyphen notation
Step 1 · Find Z Step 2 · Apply A = Z + N
A = Z + N = 31 + 38 = 69
31 protons + 38 neutrons = 69 heavy particles
Assemble the notation
⁶⁹₃₁Ga = gallium-69
A = 69 upper left · Z = 31 lower left · the hyphen form keeps only A
Subtraction runs the check in reverse: 69 − 31 = 38, the given neutron count. ✓
Dr. Karmach

Worked example 3: the route on the map

a neutral gallium atom with 38 neutrons
given: gallium · N = 38 · found: ⁶⁹₃₁Ga = gallium-69

The route crosses the junction the other way: Z and N in, A out: 31 + 38 = 69. Step 3 stays off the route; no electron count was asked. ✓
Dr. Karmach

Practice 3

atom 1: 26 p⁺ · 32 n⁰  ·  atom 2: ⁵⁸₂₈Ni  ·  atom 3: A = 56 · 30 n⁰
three neutral atoms

Which two of these atoms are isotopes of one element?

  1. Atoms 1 and 3
  2. Atoms 1 and 2
  3. Atoms 2 and 3
  4. No two: the three are different elements
Dr. Karmach

Practice 3 · answer: A

Z: atom 1 = 26 · atom 2 = 28 · atom 3 = 56 − 30 = 26 → atoms 1 and 3 (answer A)
atom 1: A = 26 + 32 = 58, iron-58 · atom 3: iron-56 · atom 2: 58 − 28 = 30 n⁰, nickel-58

B matched the mass numbers: atom 1 has A = 26 + 32 = 58, like nickel-58, but 26 and 28 protons are two elements. C matched the neutron counts: nickel-58 holds 58 − 28 = 30 neutrons, like atom 3, but neutrons never name the element. D read atom 3's 30 neutrons as its proton count, zinc; subtract instead: 56 − 30 = 26.

Same protons, different neutrons: iron-58 and iron-56 are isotopes. ✓
Dr. Karmach

Check yourself

  1. A neutral atom is written ⁵⁹₂₇Co. Work the counts: protons, neutrons, electrons.
  2. Two neutral atoms each hold 20 protons; one holds 20 neutrons, the other 24. Name the element, and name what differs between the atoms.

The periodic table lists chlorine at 35.45: neither 35 nor 37. Natural chlorine is a mixture of both isotopes, and the table's number is the abundance-weighted average atomic mass of that mixture.

Dr. Karmach

4 · Average Atomic Mass

Calculate an element's average atomic mass from isotopic masses and percent abundances, and check that the answer lands between the isotope masses, closer to the more abundant one.

Dr. Karmach

The number under every symbol

A chlorine atom weighs 34.97 or 36.97 amu, never 35.45. Every periodic table lists 35.45: the average of the natural mix. That average, in g/mol, runs every mole calculation.

Dr. Karmach

A natural sample is a fixed mix of isotopes

Natural chlorine is always the same mixture: 75.76% Cl-35 and 24.24% Cl-37, in every bottle. The mass that describes chlorine is the sample's average, weighted by those fixed proportions.

Dr. Karmach

The weighted average

average atomic mass = (mass₁ × fraction₁) + (mass₂ × fraction₂) + …
one term per isotope · fraction = percent ÷ 100 · masses in amu · 1 amu = 1/12 the mass of one carbon-12 atom

Each isotope contributes its mass in proportion to its share of the sample. Convert every percent to a fraction first: 75.76% → 0.7576. Mass spectrometry measures the masses and the abundances.

Dr. Karmach

Mass number and atomic mass

mass number A = 35
a whole-number count: 17 protons + 18 neutrons in one Cl-35 atom
atomic mass = 35.45 amu
a weighted average over the natural sample, the periodic-table entry

A mass number counts particles in one atom, so it is whole. The periodic-table mass is an average over the sample; it is not whole, and it matches no single atom.

Dr. Karmach

Where the average lands

A weighted average lands between the lightest and heaviest masses, closer to the more abundant isotope. Check every answer against that range before trusting the arithmetic.

Dr. Karmach

The method

  1. Percents → fractions: divide each percent abundance by 100.
  2. Mass × fraction: multiply each isotopic mass by its fraction of the sample.
  3. Add the contributions: the sum is the average atomic mass.
Dr. Karmach

Worked example 1: boron

B-10 · 10.0129 amu · 19.9%   ·   B-11 · 11.0093 amu · 80.1%
given: two isotopic masses with abundances · wanted: average atomic mass

Natural boron is the two isotopes above. Calculate the average atomic mass of boron.

Dr. Karmach

Worked example 1: solution

B-10 · 10.0129 amu · 19.9%   ·   B-11 · 11.0093 amu · 80.1%
wanted: average atomic mass of boron

Two products are needed, then one sum.

Step 1 · Percents → fractions

19.9 ÷ 100 = 0.199 and 80.1 ÷ 100 = 0.801. The fractions cover the whole sample: 0.199 + 0.801 = 1.

Dr. Karmach

Worked example 1: solution

B-10 · 10.0129 amu · 19.9%   ·   B-11 · 11.0093 amu · 80.1%
wanted: average atomic mass of boron
Step 1 · Percents → fractions Step 2 · Mass × fraction
10.0129 × 0.199 = 1.9926  ·  11.0093 × 0.801 = 8.8184
one contribution per isotope, in amu
Dr. Karmach

Worked example 1: solution

B-10 · 10.0129 amu · 19.9%   ·   B-11 · 11.0093 amu · 80.1%
wanted: average atomic mass of boron
Step 1 · Percents → fractions Step 2 · Mass × fraction
10.0129 × 0.199 = 1.9926  ·  11.0093 × 0.801 = 8.8184
one contribution per isotope, in amu
Step 3 · Add the contributions
1.9926 + 8.8184 = 10.81 amu
the periodic-table entry for boron
Dr. Karmach

Worked example 1: solution

B-10 · 10.0129 amu · 19.9%   ·   B-11 · 11.0093 amu · 80.1%
wanted: average atomic mass of boron
Step 1 · Percents → fractions Step 2 · Mass × fraction
10.0129 × 0.199 = 1.9926  ·  11.0093 × 0.801 = 8.8184
one contribution per isotope, in amu
Step 3 · Add the contributions
1.9926 + 8.8184 = 10.81 amu
the periodic-table entry for boron
10.81 lies between 10.0129 and 11.0093, close to B-11, the isotope carrying 80.1% of the sample. ✓
Dr. Karmach

Worked example 1: the route on the map

B-10 · 10.0129 amu · 19.9%   ·   B-11 · 11.0093 amu · 80.1%
found: 10.81 amu

A natural sample, two terms, one sum, the range check. ✓
Dr. Karmach

Worked example 2: chlorine

Cl-35 · 34.97 amu · 75.76%   ·   Cl-37 · 36.97 amu · 24.24%
given: two isotopic masses with abundances · wanted: average atomic mass

Chlorine disinfects drinking water. Calculate its average atomic mass.

A common first attempt: add the two masses and divide by two. Test it.

Dr. Karmach

Worked example 2: solution

Cl-35 · 34.97 amu · 75.76%   ·   Cl-37 · 36.97 amu · 24.24%
wanted: average atomic mass of chlorine

A common first attempt

(34.97 + 36.97) ÷ 2 = 35.97 amu
every periodic table prints 35.45: the even split fails ✗

Dividing by two weights each isotope equally. This sample is not an even split: 75.76% of its atoms carry the lighter mass.

Dr. Karmach

Worked example 2: solution

Cl-35 · 34.97 amu · 75.76%   ·   Cl-37 · 36.97 amu · 24.24%
wanted: average atomic mass of chlorine
A common first attempt
(34.97 + 36.97) ÷ 2 = 35.97 amu
every periodic table prints 35.45: the even split fails ✗
Step 1 · Percents → fractions

Two products are needed, then one sum. First the fractions: 75.76 ÷ 100 = 0.7576 and 24.24 ÷ 100 = 0.2424.

Dr. Karmach

Worked example 2: solution

Cl-35 · 34.97 amu · 75.76%   ·   Cl-37 · 36.97 amu · 24.24%
wanted: average atomic mass of chlorine
A common first attempt
(34.97 + 36.97) ÷ 2 = 35.97 amu
every periodic table prints 35.45: the even split fails ✗
Step 1 · Percents → fractions Step 2 · Mass × fraction Step 3 · Add the contributions
34.97 × 0.7576 + 36.97 × 0.2424 = 26.4933 + 8.9616 = 35.45 amu
two contributions, one sum: the periodic-table entry ✓
Dr. Karmach

Worked example 2: solution

Cl-35 · 34.97 amu · 75.76%   ·   Cl-37 · 36.97 amu · 24.24%
wanted: average atomic mass of chlorine
A common first attempt
(34.97 + 36.97) ÷ 2 = 35.97 amu
every periodic table prints 35.45: the even split fails ✗
Step 1 · Percents → fractions Step 2 · Mass × fraction Step 3 · Add the contributions
34.97 × 0.7576 + 36.97 × 0.2424 = 26.4933 + 8.9616 = 35.45 amu
two contributions, one sum: the periodic-table entry ✓
35.45 lies between 34.97 and 36.97, closer to Cl-35, the isotope in three quarters of the sample. The even split lands at 35.97 because it ignores which isotope is common. ✓
Dr. Karmach

Worked example 2: the route on the map

Cl-35 · 34.97 amu · 75.76%   ·   Cl-37 · 36.97 amu · 24.24%
tested: 35.97 amu ✗ · found: 35.45 amu ✓

The even split is a wrong turn: it holds only when the abundances are equal. The route weights each mass by its fraction. ✓
Dr. Karmach

Take-home: abundance weights the average

(34.97 + 36.97) ÷ 2 = 35.97 amu
treats a 76 : 24 sample as an even split ✗
34.97 × 0.7576 + 36.97 × 0.2424 = 35.45 amu
weights each mass by its share of the sample ✓

A simple average is correct only when the abundances are equal. Natural abundances rarely are. Weight each isotopic mass by its fraction of the sample.

Dr. Karmach

Your turn: copper

Cu-63 · 62.9296 amu · 69.17%   ·   Cu-65 · 64.9278 amu · 30.83%
wanted: average atomic mass of copper
62.9296 × + 64.9278 × 0.3083 = + 20.0172 = amu
fractions from 69.17% and 30.83% · one contribution per isotope · then the sum

Fill the missing fraction, then complete the first contribution and the sum.

Dr. Karmach

Your turn: copper

Cu-63 · 62.9296 amu · 69.17%   ·   Cu-65 · 64.9278 amu · 30.83%
wanted: average atomic mass of copper
62.9296 × + 64.9278 × 0.3083 = + 20.0172 = amu
fractions from 69.17% and 30.83% · one contribution per isotope · then the sum

Fill the missing fraction, then complete the first contribution and the sum.

62.9296 × 0.6917 + 64.9278 × 0.3083 = 43.5284 + 20.0172 = 63.55 amu
between 62.9296 and 64.9278, closer to Cu-63, 69.17% of the sample ✓
Dr. Karmach

Where this goes wrong

Cu-63 · 62.9296 amu · 69.17%   ·   Cu-65 · 64.9278 amu · 30.83%
average atomic mass: 63.55 amu
Using whole percents. 62.9296 × 69.17 + 64.9278 × 30.83 = 6354.6 amu: one hundred times too heavy. A share of a sample is a fraction: divide each percent by 100 first. 0.6917 and 0.3083 give 63.55 amu.
Attaching the abundances to the wrong isotopes. 62.9296 × 0.3083 + 64.9278 × 0.6917 = 64.31 amu: closer to Cu-65, the rarer isotope. The average must sit closer to the 69.17% isotope: 63.55 amu.
Weighting mass numbers instead of isotopic masses. 63 × 0.6917 + 65 × 0.3083 = 63.62 amu, not 63.55. Mass numbers count protons and neutrons; the average takes the measured masses, 62.9296 and 64.9278.
Dr. Karmach

Practice 1

Ga-69 · 68.9256 amu · 60.108%   ·   Ga-71 · 70.9247 amu · 39.892%
wanted: average atomic mass of gallium

Gallium nitride makes the blue light in LED bulbs. Natural gallium is the two isotopes above.

What is the average atomic mass of gallium, in amu?

  1. 69.93
  2. 69.72
  3. 70.13
  4. 6972
Dr. Karmach

Practice 1 · answer: B

Ga-69 · 68.9256 amu · 60.108%   ·   Ga-71 · 70.9247 amu · 39.892%
wanted: average atomic mass of gallium
68.9256 × 0.60108 + 70.9247 × 0.39892 = 41.4298 + 28.2933 = 69.72 amu (answer B)
each mass weighted by its fraction of the sample

A averaged the masses equally: (68.9256 + 70.9247) ÷ 2 = 69.93. C attached the abundances to the wrong isotopes: 68.9256 × 0.39892 + 70.9247 × 0.60108 = 70.13. D used whole percents: 68.9256 × 60.108 + 70.9247 × 39.892 = 6972.

D is one hundred times too heavy. A and C sit inside the range, but only 69.72 leans toward Ga-69, the isotope in 60.108% of the sample. ✓
Dr. Karmach

Worked example 3: magnesium

Mg-24 · 23.9850 amu · 78.99%  ·  Mg-25 · 24.9858 amu · 10.00%  ·  Mg-26 · 25.9826 amu · 11.01%
abundances: 78.99 + 10.00 + 11.01 = 100.00: the whole sample

Magnesium has three natural isotopes. The method does not change: one term per isotope. Calculate the average atomic mass.

Dr. Karmach

Worked example 3: fractions and contributions

Mg-24 · 23.9850 amu · 78.99%  ·  Mg-25 · 24.9858 amu · 10.00%  ·  Mg-26 · 25.9826 amu · 11.01%
wanted: average atomic mass of magnesium

Three products are needed, then one sum.

Step 1 · Percents → fractions

78.99 ÷ 100 = 0.7899, 10.00 ÷ 100 = 0.1000, 11.01 ÷ 100 = 0.1101. Together: 0.7899 + 0.1000 + 0.1101 = 1.

Dr. Karmach

Worked example 3: fractions and contributions

Mg-24 · 23.9850 amu · 78.99%  ·  Mg-25 · 24.9858 amu · 10.00%  ·  Mg-26 · 25.9826 amu · 11.01%
wanted: average atomic mass of magnesium
Step 1 · Percents → fractions Step 2 · Mass × fraction
23.9850 × 0.7899 = 18.9458 amu
24.9858 × 0.1000 = 2.4986 amu
25.9826 × 0.1101 = 2.8607 amu
one contribution per isotope, the largest from the most abundant
Dr. Karmach

Worked example 3: fractions and contributions

Mg-24 · 23.9850 amu · 78.99%  ·  Mg-25 · 24.9858 amu · 10.00%  ·  Mg-26 · 25.9826 amu · 11.01%
wanted: average atomic mass of magnesium
Step 1 · Percents → fractions Step 2 · Mass × fraction
23.9850 × 0.7899 = 18.9458 amu
24.9858 × 0.1000 = 2.4986 amu
25.9826 × 0.1101 = 2.8607 amu
one contribution per isotope, the largest from the most abundant
Mg-24 supplies 18.9458 of the total; nearly four fifths of the sample is Mg-24. ✓
Dr. Karmach

Worked example 3: the sum

contributions: Mg-24 → 18.9458 amu · Mg-25 → 2.4986 amu · Mg-26 → 2.8607 amu
from 23.9850 × 0.7899 · 24.9858 × 0.1000 · 25.9826 × 0.1101

Step 3 · Add the contributions

18.9458 + 2.4986 + 2.8607 = 24.305 amu
the periodic-table entry for magnesium
Dr. Karmach

Worked example 3: the sum

contributions: Mg-24 → 18.9458 amu · Mg-25 → 2.4986 amu · Mg-26 → 2.8607 amu
from 23.9850 × 0.7899 · 24.9858 × 0.1000 · 25.9826 × 0.1101

Step 3 · Add the contributions

18.9458 + 2.4986 + 2.8607 = 24.305 amu
the periodic-table entry for magnesium
24.305 lies between 23.9850 and 25.9826, close to Mg-24, 78.99% of the sample. The two heavier isotopes hold 21.01% between them and raise the average only slightly. ✓
Dr. Karmach

Worked example 3: the route on the map

Mg-24 · 78.99%  ·  Mg-25 · 10.00%  ·  Mg-26 · 11.01%
found: 24.305 amu

Three isotopes, three terms. Every other box matches the two-isotope route. ✓
Dr. Karmach

Practice 2

Eu-151 · 150.9199 amu · 47.81%   ·   Eu-153 · 152.9212 amu
the only two natural isotopes · wanted: average atomic mass of europium

Natural europium is these two isotopes and nothing else. What is the average atomic mass of europium, in amu?

  1. 151.92
  2. 72.15
  3. 151.88
  4. 151.96
  5. 145.27
Dr. Karmach

Practice 2 · answer: D

Eu-151 · 150.9199 amu · 47.81%   ·   Eu-153 · 152.9212 amu
Eu-153: 100 − 47.81 = 52.19% · fractions 0.4781 and 0.5219
150.9199 × 0.4781 + 152.9212 × 0.5219 = 72.1548 + 79.8096 = 151.96 amu (answer D)
the missing abundance first, then one contribution per isotope
Dr. Karmach

Practice 2 · answer: D

Eu-151 · 150.9199 amu · 47.81%   ·   Eu-153 · 152.9212 amu
Eu-153: 100 − 47.81 = 52.19% · fractions 0.4781 and 0.5219
150.9199 × 0.4781 + 152.9212 × 0.5219 = 72.1548 + 79.8096 = 151.96 amu (answer D)
the missing abundance first, then one contribution per isotope
B stopped at the first contribution, 72.15. E skipped the missing abundance and reused 0.4781 for Eu-153: 72.1548 + 73.1114 = 145.27, a sample only 95.62% complete. C attached 47.81% to the wrong isotope: 150.9199 × 0.5219 + 152.9212 × 0.4781 = 151.88. A averaged the masses equally: 151.92.
151.96 sits just above the midpoint, 151.92, toward Eu-153, the 52.19% isotope. ✓
Dr. Karmach

Check yourself

  1. Lithium is 7.59% Li-6 (6.0151 amu) and 92.41% Li-7 (7.0160 amu). Calculate the average atomic mass, then check it against a periodic table.
  2. Chlorine's mass number 35 is a whole number; its atomic mass, 35.45 amu, is not. Explain why the mass number is whole and the atomic mass is not.

The periodic-table mass reads two ways. In amu it is the average mass of one atom. In grams it is the mass of one mole of atoms: the counting unit that turns balanced equations into weighable amounts.

Dr. Karmach

5 · Periodic Table Organization

Locate an element by period and group, name its family, classify it as a metal, nonmetal, or metalloid, and predict its bench behavior from its position.

Dr. Karmach

Same column, same chemistry

Sodium explodes in water. Potassium does too, more violently. The periodic table seats them in one column: elements with matching behavior stack vertically, on purpose.

Dr. Karmach

Order by atomic number, and behavior repeats

Li (3) · Na (11) · K (19): soft metals, violent in water
11 − 3 = 8 · 19 − 11 = 8: the behavior returns at regular intervals

The table lists elements in order of atomic number. Cut the list at each repeat, and the look-alikes stack into columns.

Dr. Karmach

Rows are periods, columns are groups

Every element has an address: period, then group. Chlorine sits in row 3, column 17: period 3, group 17. Two numbers locate any element.

Dr. Karmach

Five columns carry family names

Group 1: alkali metals. Group 2: alkaline earth metals. Groups 3 to 12: transition metals. Group 17: halogens. Group 18: noble gases. A family name is a summary of shared behavior.

Dr. Karmach

Metals, nonmetals, metalloids

A stepped line runs from boron to tellurium. Metals sit to its left: most of the table. Nonmetals fill the upper right, plus hydrogen. The six elements on the line are metalloids: neither class fits cleanly.

Dr. Karmach

What the classes mean at the bench

The classes are bench descriptions. Metals are shiny, bend without shattering, and conduct heat and electricity. Nonmetals are dull, brittle as solids, and insulate. In reactions, metals lose electrons; nonmetals gain them.

Dr. Karmach

Main group and transition block

main group: 1, 2, 13 to 18 · transition: 3 to 12
the tall columns at both edges · the block in the middle

Groups 1, 2, and 13 through 18 are the main group. Groups 3 through 12 are the transition metals. Family behavior runs cleanest in the main group; the transition block is all metals.

Dr. Karmach

Why a family behaves alike

Li · Na · K: 1 outer electron each
F · Cl · Br · I: 7 outer electrons each, 8 − 7 = 1 short of a full set

Elements in one column hold the same number of outer electrons, and outer electrons do the chemistry. Same count, same behavior. Row neighbors hold different counts, so they differ.

Dr. Karmach

Reactivity is graded down a family

A family shares behavior, not intensity. Down group 1 the water reaction escalates: lithium fizzes, sodium bursts, potassium ignites. Down group 17 it fades, fluorine to iodine.

Dr. Karmach

The table predicts missing elements

1871: a gap below silicon, named eka-silicon · predicted mass ≈ 72, density ≈ 5.5 g/cm³
1886: germanium isolated · mass 72.6, density 5.32 g/cm³ · 1886 − 1871 = 15 years

Mendeleev left the space under silicon empty and forecast the missing element's properties from its neighbors. Germanium, found fifteen years later, matched. The table predicts chemistry; it does not just file elements.

Dr. Karmach

The method

  1. Find the period. Count rows down; hydrogen's row is period 1.
  2. Find the group. Count columns 1 to 18.
  3. Name the family if the column has one.
  4. Classify with the staircase. Left: metal. Right: nonmetal. On it: metalloid.
Dr. Karmach

Worked example 1: locating chlorine

Cl · atomic number 17
wanted: period, group, family, class

Find chlorine's period and group, name its family, and classify it: metal, nonmetal, or metalloid.

Dr. Karmach

Worked example 1: solution

Cl · atomic number 17
wanted: period, group, family, class

Step 1 · Find the period

Chlorine sits in the third row: period 3. That row runs from sodium (Z = 11) to argon (Z = 18): 18 − 11 + 1 = 8 elements.

Dr. Karmach

Worked example 1: solution

Cl · atomic number 17
wanted: period, group, family, class
Step 1 · Find the period Step 2 · Find the group

Counting columns from the left edge, chlorine lands in column 17: group 17.

Dr. Karmach

Worked example 1: solution

Cl · atomic number 17
wanted: period, group, family, class
Step 1 · Find the period Step 2 · Find the group Step 3 · Name the family

Group 17 is the halogens: fluorine, chlorine, bromine, and iodine.

Dr. Karmach

Worked example 1: solution

Cl · atomic number 17
wanted: period, group, family, class
Step 1 · Find the period Step 2 · Find the group Step 3 · Name the family Step 4 · Classify with the staircase
Cl: period 3, group 17 · halogen · nonmetal
right of the staircase: nonmetal
Dr. Karmach

Worked example 1: solution

Cl · atomic number 17
wanted: period, group, family, class
Step 1 · Find the period Step 2 · Find the group Step 3 · Name the family Step 4 · Classify with the staircase
Cl: period 3, group 17 · halogen · nonmetal
right of the staircase: nonmetal
Chlorine's column-mates F, Br, and I are all reactive nonmetals. The address alone predicted the behavior. ✓
Dr. Karmach

Worked example 1: the route on the map

Cl · atomic number 17
given: Cl · found: period 3, group 17 (7A), halogen, nonmetal

Row 3 and column 17 cross at chlorine. The halogen column sits right of the staircase: F, Cl, Br, and I are all nonmetals. ✓
Dr. Karmach

Worked example 2: predicting strontium

Sr · atomic number 38 · directly below Ca (20)
wanted: family, class, expected chemistry

Strontium sits directly below calcium. Name its family and class, and predict how its chemistry compares with calcium's.

A common first attempt: strontium holds nearly twice calcium's protons, so its chemistry should differ. Test it.

Dr. Karmach

Worked example 2: solution

Sr · atomic number 38 · directly below Ca (20)
wanted: family, class, expected chemistry

A common first attempt

Thirty-eight protons against twenty is a real difference, and mass roughly doubles. But behavior follows the column: 38 − 20 = 18, exactly one full row, so strontium lands directly under calcium.

Dr. Karmach

Worked example 2: solution

Sr · atomic number 38 · directly below Ca (20)
wanted: family, class, expected chemistry
A common first attempt Step 1 · Find the period Step 2 · Find the group

One row below calcium's period 4: period 5. Same column: group 2.

Dr. Karmach

Worked example 2: solution

Sr · atomic number 38 · directly below Ca (20)
wanted: family, class, expected chemistry
A common first attempt Step 1 · Find the period Step 2 · Find the group Step 3 · Name the family Step 4 · Classify with the staircase
Sr: period 5, group 2 · alkaline earth metal · metal
2 outer electrons, the same count as Ca: the same chemistry follows
Dr. Karmach

Worked example 2: solution

Sr · atomic number 38 · directly below Ca (20)
wanted: family, class, expected chemistry
A common first attempt Step 1 · Find the period Step 2 · Find the group Step 3 · Name the family Step 4 · Classify with the staircase
Sr: period 5, group 2 · alkaline earth metal · metal
2 outer electrons, the same count as Ca: the same chemistry follows
The prediction is physical: bone takes up strontium because the body processes it like calcium. Same family, same chemistry. ✓
Dr. Karmach

Worked example 2: the route on the map

Sr · atomic number 38 · directly below Ca (20)
given: Sr · found: period 5, group 2 (2A), alkaline earth metal, metal

One row below calcium, in the same column. The column carries the family, the class, and the chemistry down with it. ✓
Dr. Karmach

Your turn: barium

Ba · atomic number 56 · directly below Sr (38)
56 − 38 = 18: one full row lower
step answer
1 · find the period one row below strontium's period 5: period
2 · find the group the column of Be, Mg, Ca, Sr: group
3 · name the family
4 · classify left of the staircase:

Complete the four steps.

Dr. Karmach

Your turn: barium

Ba · atomic number 56 · directly below Sr (38)
56 − 38 = 18: one full row lower
step answer
1 · find the period one row below strontium's period 5: period
2 · find the group the column of Be, Mg, Ca, Sr: group
3 · name the family
4 · classify left of the staircase:

Complete the four steps.

Ba: period 6, group 2 · alkaline earth metal · metal
2 outer electrons, like Mg, Ca, and Sr
Dr. Karmach

Where this goes wrong

Swapping period and group. Period 3, group 17 names a row, then a column: chlorine. Reversed it names nothing: the table holds 7 periods, and no period 17 exists. Period counts rows; group counts columns.
Filing hydrogen with the alkali metals. Hydrogen sits over group 1, but it is a colorless nonmetal gas. The alkali family starts at lithium.
Stretching the staircase. The metalloids are exactly B, Si, Ge, As, Sb, Te. Aluminum touches the line and is still a metal: household foil, an excellent conductor. Membership is the list, not proximity.
Expecting row-mates to behave alike. Sodium and chlorine share period 3: a soft metal stored under oil, and a corrosive yellow-green gas. Alike runs down a column, never across a row.
Dr. Karmach

Practice 1

wanted: the element at period 4, group 17
row 4 · column 17

Which element sits in period 4, group 17?

  1. Iodine
  2. Bromine
  3. Manganese
  4. Krypton
Dr. Karmach

Practice 1 · answer: B

period 4, group 17 → bromine (answer B)
period 4 spans Z = 19 to 36: 36 − 19 + 1 = 18 elements, ending at Kr

A counted rows inside the halogen column: fluorine's row is period 2, so the fourth halogen down is iodine, period 5. C read group 17 as group 7 and landed in the transition block: manganese sits in period 4, group 7. D overshot by one column: krypton is group 18, a noble gas.

Bromine at this address is a halogen and a nonmetal: the only element in its column that is liquid at room temperature. ✓
Dr. Karmach

Worked example 3: tellurium and iodine

Te: Z = 52, mass 127.6 · I: Z = 53, mass 126.9
wanted: which comes first, and each element's class

Tellurium outweighs iodine: 127.6 − 126.9 = 0.7. State which element comes first on the table, then classify both.

Dr. Karmach

Worked example 3: solution

Te: Z = 52, mass 127.6 · I: Z = 53, mass 126.9
wanted: which comes first, and each element's class

The ordering rule

By mass, iodine should come first. The table disagrees: position follows atomic number, protons only, and 52 comes before 53. Extra neutrons make tellurium heavier; position ignores them.

Dr. Karmach

Worked example 3: solution

Te: Z = 52, mass 127.6 · I: Z = 53, mass 126.9
wanted: which comes first, and each element's class
The ordering rule Classify with the staircase
Te: period 5, group 16 · on the staircase · metalloid
I: period 5, group 17 · halogen · nonmetal · order: Z = 52, then 53
Dr. Karmach

Worked example 3: solution

Te: Z = 52, mass 127.6 · I: Z = 53, mass 126.9
wanted: which comes first, and each element's class
The ordering rule Classify with the staircase
Te: period 5, group 16 · on the staircase · metalloid
I: period 5, group 17 · halogen · nonmetal · order: Z = 52, then 53
One proton separates a semiconducting metalloid from a violet-vapor halogen. Position, and the chemistry it encodes, follows the proton count, not the mass. ✓
Dr. Karmach

Worked example 3: the route on the map

Te: Z = 52, mass 127.6 · I: Z = 53, mass 126.9
given: Te and I · found: Te: period 5, group 16 (6A), metalloid · I: group 17 (7A), halogen, nonmetal

Tellurium's column, group 16, has no family name, and tellurium sits on the staircase. The next seat, Z = 53, is iodine: group 17, a halogen. ✓
Dr. Karmach

Practice 2

Na · K: one column, group 1
Na: Z = 11 · K: Z = 19 · 19 − 11 = 8

Sodium and potassium react with water the same violent way. Which statement explains why?

  1. They share a period, and elements in a period behave alike
  2. Their atomic masses are close, and mass sets chemical behavior
  3. They hold the same number of outer electrons: one each
  4. Both are transition metals, and that block reacts with water
Dr. Karmach

Practice 2 · answer: C

group 1: one outer electron per atom (answer C)
same outer count → same chemistry · 19 − 11 = 8, one behavior repeat apart

A misreads the geometry: sodium and potassium share a group, a column; period-mates differ. B fails on its own numbers: 39.10 − 22.99 = 16.11, the masses are not close, and mass does not set behavior. D misfiles them: group 1 is a main-group column; the transition block starts at group 3.

One easily lost outer electron is the alkali signature. Rubidium and cesium extend the column, and their water reactions escalate in order. ✓
Dr. Karmach

Worked example 4: the address in reverse

wanted: the alkaline earth metal in period 3
given: a family name and a row · wanted: one element

A problem names no element, only a description: the alkaline earth metal in period 3. Find the element.

Dr. Karmach

Worked example 4: solution

wanted: the alkaline earth metal in period 3
given: a family name and a row · wanted: one element

Family → group

The family name fixes the column: alkaline earth metals are group 2.

Dr. Karmach

Worked example 4: solution

wanted: the alkaline earth metal in period 3
given: a family name and a row · wanted: one element
Family → group Period → row

The period fixes the row: period 3 runs from sodium (Z = 11) to argon (Z = 18).

Dr. Karmach

Worked example 4: solution

wanted: the alkaline earth metal in period 3
given: a family name and a row · wanted: one element
Family → group Period → row Read the intersection
group 2, period 3 → Mg, magnesium
row 3 opens at Na (Z = 11) in group 1 · the group-2 seat is next: Z = 11 + 1 = 12
Dr. Karmach

Worked example 4: solution

wanted: the alkaline earth metal in period 3
given: a family name and a row · wanted: one element
Family → group Period → row Read the intersection
group 2, period 3 → Mg, magnesium
row 3 opens at Na (Z = 11) in group 1 · the group-2 seat is next: Z = 11 + 1 = 12
Check the column: Be above, Ca below, all group 2. The address ran in reverse and still landed on a single element. ✓
Dr. Karmach

Worked example 4: the route on the map

wanted: the alkaline earth metal in period 3
given: alkaline earth metal, period 3 · found: group 2 (2A), Mg

The family fixed the column and the period fixed the row. The map ran from the steps up to the element. ✓
Dr. Karmach

Practice 3

shiny · malleable · conducts electricity · loses two electrons
wanted: the one element fitting every observation

A sample is shiny, flattens under a hammer without shattering, and conducts electricity. Each of its atoms loses two electrons when it reacts. Which element fits?

  1. Potassium
  2. Silicon
  3. Calcium
  4. Sulfur
Dr. Karmach

Practice 3 · answer: C

metal properties + two electrons lost → calcium (answer C)
shiny, malleable, conducting: a metal, left of the staircase · 2 outer electrons: group 2

A fits the bench tests, but potassium sits in group 1: one outer electron, so it loses one, never two. B fails at the bench: silicon is a metalloid on the staircase, a semiconductor, not a full conductor. D reverses the electron move: sulfur is a brittle nonmetal, and nonmetals gain electrons.

Bench properties place the region; the electron count picks the column. Magnesium and barium, calcium's family-mates, fit the same description. ✓
Dr. Karmach

Atomic size follows the address

Down a group, atoms grow: each row adds a shell. Across a period, atoms shrink: protons are added while the shells stay the same, and the stronger pull draws every shell inward.

Dr. Karmach

Electronegativity runs opposite to size

Electronegativity is how strongly a bonded atom pulls shared electrons toward itself. It rises across a period and falls down a group: the pull is strongest where atoms are smallest. Fluorine pulls hardest.

Dr. Karmach

Practice 4

Na: period 3, group 1 · S: period 3, group 16 · O: period 2, group 16
Na and S share period 3 · S and O share group 16

Rank sodium, sulfur, and oxygen by atomic size, largest first, and pick the atom that pulls shared electrons hardest.

  1. Na, S, O · oxygen pulls hardest
  2. O, S, Na · oxygen pulls hardest
  3. Na, O, S · oxygen pulls hardest
  4. Na, S, O · sodium pulls hardest
Dr. Karmach

Practice 4 · answer: A

largest to smallest: Na, S, O · strongest pull: O (answer A)
across period 3: Na outsizes S · down group 16: S outsizes O · electronegativity peaks toward F

B ranked by pull instead of size: the atom that pulls hardest is the smallest, so the order came out reversed. C swapped sulfur and oxygen: each row down adds a shell, and sulfur's outer electrons sit one shell beyond oxygen's. D handed the strongest pull to the biggest atom: the biggest atom holds the bonding pair farthest from its nucleus and pulls it least.

Size grows down and to the left; the pull on shared electrons grows up and to the right. One address answers both questions.
Dr. Karmach

Extra practice 1

Sb · antimony · atomic number 51
wanted: its class and the reason that decides it

Which statement correctly classifies antimony?

  1. Nonmetal: it shares group 15 with nitrogen and phosphorus
  2. Metal: it shares period 5 with rubidium and strontium
  3. Metal: it has a shiny, metallic luster
  4. Metalloid: it is one of the six staircase elements
Dr. Karmach

Extra practice 1 · answer: D

Sb: period 5, group 15 · on the staircase · metalloid (answer D)
period 5 opens at Rb (Z = 37) · 51 − 37 + 1 = 15: group 15 · metalloids: B, Si, Ge, As, Sb, Te

A carried the class down the column: class shifts down group 15, from nonmetal (N, P) to metalloid (As, Sb) to metal (Bi). B treated row-mates as alike: rubidium and strontium sit far left of the staircase; antimony sits on it. C judged by one bench property: metalloids look metallic, and antimony is only a modest conductor.

Antimony shatters under a hammer instead of flattening: shiny like a metal, brittle like a nonmetal. That mix is the metalloid signature. ✓
Dr. Karmach

Extra practice 2

⁸⁵₃₇X: one neutral atom
given: A = 85 · Z = 37 · wanted: period and group

One atom of element X carries this isotope symbol. In which period and group does X sit?

  1. Period 5, group 1
  2. Period 6, group 17
  3. Period 1, group 5
  4. Period 5, group 12
Dr. Karmach

Extra practice 2 · answer: A

Z = 37 → rubidium · period 5, group 1 (answer A)
period 4 ends at Kr (Z = 36) · Z = 36 + 1 = 37 opens period 5, in group 1

B read the mass number as the atomic number: element 85 is astatine, period 6, group 17. C found rubidium but swapped the address: period 1 holds only H and He, so no group 5 seat exists there. D took the neutron count as the atomic number: 85 − 37 = 48 is cadmium, and 48 − 37 + 1 = 12 puts it in period 5, group 12.

The lower number names the element; the upper one counts protons and neutrons together. Rubidium sits under potassium, an alkali metal: 37 − 19 = 18, one full row. ✓
Dr. Karmach

Extra practice 3

K: Z = 19 · Cs: Z = 55
wanted: family, electron move, water reaction

Cesium has 36 more protons than potassium. Which prediction about cesium follows?

  1. Alkali metal · gains one electron · reacts more violently than K
  2. Alkali metal · loses one electron · reacts more violently than K
  3. Alkali metal · loses one electron · reacts more mildly than K
  4. Different family: 36 more protons than K give new chemistry
Dr. Karmach

Extra practice 3 · answer: B

Cs: period 6, group 1 · alkali metal · loses one electron (answer B)
55 − 19 = 36 = 18 + 18: two full rows, same column · 1 outer electron, like K

A reversed the electron move: cesium is a metal, and metals lose electrons; gaining one is the halogen move. C carried group 17's fade into group 1: down the alkali column the water reaction escalates. D let the proton gap override the column: 36 = 18 + 18 is exactly two full rows, so cesium stays in group 1 with one outer electron.

Lithium fizzes, sodium bursts, potassium ignites; cesium, lower still, explodes on contact with water. Same family, stronger reaction. ✓
Dr. Karmach

Check yourself

  1. Selenium sits in period 4, group 16. Classify it: metal, nonmetal, or metalloid. Is it a halogen?
  2. Radium sits directly below barium. Name its family, predict its class, and state whether its reaction with water should be gentler or more violent than barium's.

The two arrows give directions, not amounts. The pull on an outer electron can be measured, as the energy needed to remove it from the atom, and those measured values sharpen the arrows into exact rankings, deciding which atoms give up electrons and which take them when ions form.

Dr. Karmach

6 · Ions

Predict the charge a main-group atom takes when it forms an ion, count the particles in the ion, and write its symbol.

Dr. Karmach

Salt water conducts electricity

Pure water barely conducts electricity. Stir in table salt and the same water lights a bulb. Dissolved salt releases charged particles, and moving charges are an electric current.

Dr. Karmach

Ions form by losing or gaining electrons

A neutral atom holds equal protons and electrons. Losing or gaining electrons makes an ion: charge = protons − electrons. Protons never change: they name the element. Cations shrink; anions swell.

Dr. Karmach

Cation or anion

Na → Na⁺ + e⁻
cation: 11 p⁺ · 10 e⁻ → charge 11 − 10 = 1+ · the t is a plus sign
Cl + e⁻ → Cl⁻
anion: 17 p⁺ · 18 e⁻ → charge 17 − 18 = 1− · A Negative ION

Losing electrons removes negative charge: a positive ion, a cation. Gaining electrons adds negative charge: a negative ion, an anion. Metals lose; nonmetals gain.

Dr. Karmach

Predicting the charge

Noble gases react with almost nothing: their electron counts are stable. Atoms lose or gain to reach the nearest one. Groups 1, 2, 13 lose: 1+, 2+, 3+. Groups 15, 16, 17 gain: 3−, 2−, 1−.

Dr. Karmach

Writing the ion symbol

Ca²⁺ · Al³⁺ · S²⁻
charge upper-right · number before sign: 2+, never +2

The charge sits at the upper right of the element symbol, number before sign. A charge of one shows the sign alone: Na⁺, Cl⁻.

Dr. Karmach

The method

  1. Count the protons. The atomic number; it never changes.
  2. Count the electrons. Neutral = protons; subtract lost, add gained.
  3. Compute the charge. Charge = protons − electrons.
  4. Write the symbol. Charge upper-right, number before sign.
Dr. Karmach

Worked example 1: magnesium

²⁴Mg loses 2 e⁻ → ?
neutral atom: 12 p⁺ · 12 n⁰ · 12 e⁻ · wanted: particle counts and symbol

A magnesium atom loses two electrons. Count each particle in the ion and write its symbol.

Dr. Karmach

Worked example 1: solution

²⁴Mg loses 2 e⁻ → ?
neutral atom: 12 p⁺ · 12 n⁰ · 12 e⁻

Step 1 · Count the protons

12 protons before, 12 after: the ion is still magnesium. The neutrons also stay at 12.

Dr. Karmach

Worked example 1: solution

²⁴Mg loses 2 e⁻ → ?
neutral atom: 12 p⁺ · 12 n⁰ · 12 e⁻
Step 1 · Count the protons Step 2 · Count the electrons

Neutral means 12 electrons. Two are lost: 12 − 2 = 10 e⁻.

Dr. Karmach

Worked example 1: solution

²⁴Mg loses 2 e⁻ → ?
neutral atom: 12 p⁺ · 12 n⁰ · 12 e⁻
Step 1 · Count the protons Step 2 · Count the electrons Step 3 · Compute the charge Step 4 · Write the symbol
Mg²⁺
12 p⁺ · 12 n⁰ · 10 e⁻ → charge 12 − 10 = 2+
Dr. Karmach

Worked example 1: solution

²⁴Mg loses 2 e⁻ → ?
neutral atom: 12 p⁺ · 12 n⁰ · 12 e⁻
Step 1 · Count the protons Step 2 · Count the electrons Step 3 · Compute the charge Step 4 · Write the symbol
Mg²⁺
12 p⁺ · 12 n⁰ · 10 e⁻ → charge 12 − 10 = 2+
Twelve positive protons against ten negative electrons: two positives are unmatched, so the ion carries 2+. ✓
Dr. Karmach

Worked example 1: the route on the map

²⁴Mg loses 2 e⁻ → Mg²⁺
found: 12 p⁺ · 10 e⁻ · charge 2+

All four steps ran in order. The problem said how many electrons left, so the lost-or-gained card set the electron count. ✓
Dr. Karmach

Worked example 2: sulfur

³²S → ?
neutral atom: 16 p⁺ · 16 n⁰ · 16 e⁻ · group 16 · wanted: charge, counts, symbol

Sulfur forms an ion. Predict how many electrons move, count the particles, and write the symbol.

A common first attempt: an ion that gains electrons gains particles, so its charge comes out positive. Test it.

Dr. Karmach

Worked example 2: solution

³²S → ?
neutral atom: 16 p⁺ · 16 n⁰ · 16 e⁻ · group 16

A common first attempt

S gains 2 e⁻ → S²⁺?
16 p⁺ · 18 e⁻ → charge 16 − 18 = 2−, not 2+ ✗

Each electron carries one negative charge. Adding electrons can only push the total negative.

Dr. Karmach

Worked example 2: solution

³²S → ?
neutral atom: 16 p⁺ · 16 n⁰ · 16 e⁻ · group 16
A common first attempt
S gains 2 e⁻ → S²⁺?
16 p⁺ · 18 e⁻ → charge 16 − 18 = 2−, not 2+ ✗
Step 1 · Count the protons

16 protons, unchanged: still sulfur. The neutrons stay at 16.

Dr. Karmach

Worked example 2: solution

³²S → ?
neutral atom: 16 p⁺ · 16 n⁰ · 16 e⁻ · group 16
A common first attempt
S gains 2 e⁻ → S²⁺?
16 p⁺ · 18 e⁻ → charge 16 − 18 = 2−, not 2+ ✗
Step 1 · Count the protons Step 2 · Count the electrons

The nearest noble gas is argon, 18 electrons. Sulfur holds 16 and gains two: 16 + 2 = 18 e⁻.

Dr. Karmach

Worked example 2: solution

³²S → ?
neutral atom: 16 p⁺ · 16 n⁰ · 16 e⁻ · group 16
A common first attempt
S gains 2 e⁻ → S²⁺?
16 p⁺ · 18 e⁻ → charge 16 − 18 = 2−, not 2+ ✗
Step 1 · Count the protons Step 2 · Count the electrons Step 3 · Compute the charge Step 4 · Write the symbol
S²⁻
16 p⁺ · 16 n⁰ · 18 e⁻ → charge 16 − 18 = 2−
Dr. Karmach

Worked example 2: solution

³²S → ?
neutral atom: 16 p⁺ · 16 n⁰ · 16 e⁻ · group 16
A common first attempt
S gains 2 e⁻ → S²⁺?
16 p⁺ · 18 e⁻ → charge 16 − 18 = 2−, not 2+ ✗
Step 1 · Count the protons Step 2 · Count the electrons Step 3 · Compute the charge Step 4 · Write the symbol
S²⁻
16 p⁺ · 16 n⁰ · 18 e⁻ → charge 16 − 18 = 2−
Two electrons beyond the protons, each carrying one negative charge: 2−. Gained electrons always land the charge negative. ✓
Dr. Karmach

Worked example 2: the route on the map

³²S → S²⁻
found: group 16 gains 2 · 16 p⁺ · 18 e⁻ · charge 2−

Nothing said how many electrons move. The group decided it: two short of argon, so gain two. ✓
Dr. Karmach

Take-home: the sign follows the electrons

lose e⁻ → positive ion
Mg²⁺: 12 p⁺ · 10 e⁻ · protons outnumber electrons: 12 − 10 = 2+
gain e⁻ → negative ion
S²⁻: 16 p⁺ · 18 e⁻ · electrons outnumber protons: 16 − 18 = 2−

Losing negative particles leaves a positive ion. Gaining negative particles makes a negative ion. To check a sign, compute charge = protons − electrons.

Dr. Karmach

Your turn: potassium

³⁹K → ?
neutral atom: 19 p⁺ · 20 n⁰ · 19 e⁻ · group 1
step count
1 · protons 19, unchanged
2 · electrons argon holds 18, so one electron leaves: 19 − 1 =
3 · charge 19 − 18 =
4 · symbol

Complete the counts and write the symbol.

Dr. Karmach

Your turn: potassium

³⁹K → ?
neutral atom: 19 p⁺ · 20 n⁰ · 19 e⁻ · group 1
step count
1 · protons 19, unchanged
2 · electrons argon holds 18, so one electron leaves: 19 − 1 =
3 · charge 19 − 18 =
4 · symbol

Complete the counts and write the symbol.

K⁺
19 p⁺ · 20 n⁰ · 18 e⁻ → charge 19 − 18 = 1+
Dr. Karmach

Where this goes wrong

Reading "lost" as negative. Mg loses 2 e⁻, leaving 12 p⁺ and 10 e⁻: charge 12 − 10 = 2+. The particles lost were the negative ones. Losing electrons always leaves a positive ion.
Charging the nucleus. A 2+ charge never comes from added protons: 12 protons is magnesium, 14 is silicon. Ion formation moves electrons only.
Naming the element from the electrons. Na⁺, Mg²⁺, and O²⁻ each hold 10 electrons, and none is neon. Protons identify the element.
Counting electrons into the mass number. Only nucleus particles count: ²⁴Mg²⁺ keeps mass number 12 + 12 = 24, with 12 electrons or with 10.
Dr. Karmach

Practice 1

Ba → Ba²⁺
neutral atom: 56 p⁺ · 56 e⁻ · group 2

A neutral barium atom becomes a Ba²⁺ ion. Which statement describes what happens?

  1. The atom loses two electrons; with more protons than electrons left, it carries the 2+ charge
  2. The nucleus gains two protons, which makes the atom 2+
  3. The atom gains two electrons; the extra particles give it the 2+ charge
  4. The atom loses two protons from its nucleus, leaving a 2+ charge
Dr. Karmach

Practice 1 · answer: A

Ba → Ba²⁺ + 2 e⁻ (answer A)
56 p⁺ · 54 e⁻ → charge 56 − 54 = 2+

B: 58 protons is no longer barium; protons never change in chemistry. C: gaining two electrons computes 56 − 58 = 2−, an anion. D: losing two protons changes the element too, and 54 p⁺ against 56 e⁻ computes 54 − 56 = 2−.

Barium sits in group 2: it loses two electrons, and 54 electrons is xenon's count, the nearest noble gas. ✓
Dr. Karmach

Worked example 3: identifying an unknown ion

?: 34 p⁺ · 46 n⁰ · 36 e⁻
given: the particle counts · wanted: element, mass number, charge, full symbol

A particle holds 34 protons, 46 neutrons, and 36 electrons. Identify it and write its full symbol.

Dr. Karmach

Worked example 3: solution

?: 34 p⁺ · 46 n⁰ · 36 e⁻
given: the particle counts · wanted: element, mass number, charge, full symbol

Step 1 · Count the protons

34 protons: selenium. The 36 electrons match krypton's count, but electrons come and go; protons name the element.

Dr. Karmach

Worked example 3: solution

?: 34 p⁺ · 46 n⁰ · 36 e⁻
given: the particle counts · wanted: element, mass number, charge, full symbol
Step 1 · Count the protons Step 2 · Count the electrons Step 3 · Compute the charge

36 electrons are given, two more than the protons: charge 34 − 36 = 2−.

Dr. Karmach

Worked example 3: solution

?: 34 p⁺ · 46 n⁰ · 36 e⁻
given: the particle counts · wanted: element, mass number, charge, full symbol
Step 1 · Count the protons Step 2 · Count the electrons Step 3 · Compute the charge The mass number

Protons plus neutrons: 34 + 46 = 80. Electrons never enter the mass number.

Dr. Karmach

Worked example 3: solution

?: 34 p⁺ · 46 n⁰ · 36 e⁻
given: the particle counts · wanted: element, mass number, charge, full symbol
Step 1 · Count the protons Step 2 · Count the electrons Step 3 · Compute the charge The mass number Step 4 · Write the symbol
⁸⁰Se²⁻
34 p⁺ · 46 n⁰ · 36 e⁻ · mass number 34 + 46 = 80 · charge 34 − 36 = 2−
Dr. Karmach

Worked example 3: solution

?: 34 p⁺ · 46 n⁰ · 36 e⁻
given: the particle counts · wanted: element, mass number, charge, full symbol
Step 1 · Count the protons Step 2 · Count the electrons Step 3 · Compute the charge The mass number Step 4 · Write the symbol
⁸⁰Se²⁻
34 p⁺ · 46 n⁰ · 36 e⁻ · mass number 34 + 46 = 80 · charge 34 − 36 = 2−
Selenium sits in group 16, two electrons short of krypton, and a 2− anion is exactly what the periodic table predicts. ✓
Dr. Karmach

Worked example 3: the route on the map

?: 34 p⁺ · 46 n⁰ · 36 e⁻ → ⁸⁰Se²⁻
found: selenium · charge 34 − 36 = 2− · mass number 34 + 46 = 80

The counts came given. The table read 34 protons as selenium; the neutrons fed only the mass number. ✓
Dr. Karmach

Practice 2

decoded symbol
1 ⁴⁰Ca²⁺ has mass number 38, since it lost two electrons
2 ³¹P³⁻ holds 15 p⁺ · 16 n⁰ · 18 e⁻
3 ⁸⁵Rb⁺ holds 37 p⁺ · 48 n⁰ · 36 e⁻

Three ion symbols, three decodings. Which statements are correct?

  1. Statements 1, 2 and 3
  2. Statement 3 only
  3. Statement 2 only
  4. Statements 2 and 3 only
Dr. Karmach

Practice 2 · answer: D

correct: 2 and 3 · false: 1 (answer D)
³¹P³⁻: 31 − 15 = 16 n⁰ · 15 + 3 = 18 e⁻ · ⁸⁵Rb⁺: 85 − 37 = 48 n⁰ · 37 − 1 = 36 e⁻ · ⁴⁰Ca²⁺ keeps A = 40

A accepted statement 1: electrons never enter the mass number, so ⁴⁰Ca²⁺ keeps A = 20 + 20 = 40, not 40 − 2 = 38. B read 3− as three electrons lost, 15 − 3 = 12, and rejected statement 2; a negative ion gained them. C found neutrons by subtracting electrons, 85 − 36 = 49, and rejected statement 3; neutrons = A − protons = 48.

A charge moves electrons only. Protons, neutrons, and the mass number stay put. ✓
Dr. Karmach

Check yourself

  1. Strontium (38 protons) sits in group 2. How many electrons does its ion hold, what is the charge, and what is the symbol?
  2. A particle holds 30 protons, 34 neutrons, and 28 electrons. Which element is it, and what is its full symbol?

Cations and anions attract into ionic compounds, and the charges must cancel: Na⁺ pairs one-to-one with Cl⁻, while Ca²⁺ takes two F⁻. These predicted charges fix the formula and the name of every ionic compound.

Dr. Karmach

7 · Naming Ionic Compounds

Name any binary ionic compound from its formula and write its formula from its name, letting charge balance set every subscript and every Roman numeral.

Dr. Karmach

What a chemical name is for

Rust is iron combined with oxygen from the air: two iron for every three oxygen, in every flake. A chemical name reports exactly what a compound contains.

Dr. Karmach

Reading a chemical formula

K₃PO₄: 3 K · 1 P · 4 O
read aloud: K-three-P-O-four · a symbol with no subscript counts one atom
Mg(OH)₂: 1 Mg · 2 O · 2 H
the 2 outside the parentheses multiplies everything inside

A subscript counts atoms of the symbol just before it. A subscript after parentheses multiplies the whole group inside them.

Dr. Karmach

Your turn: count the atoms

Ca(NO₃)₂
wanted: the number of atoms of each element
element count
Ca
N
O

Count every atom. The subscript 2 sits outside the parentheses.

Dr. Karmach

Your turn: count the atoms

Ca(NO₃)₂
wanted: the number of atoms of each element
element count
Ca
N
O

Count every atom. The subscript 2 sits outside the parentheses.

Ca(NO₃)₂: 1 Ca · 2 N · 6 O
N: 2 × 1 = 2 · O: 2 × 3 = 6 · the outside 2 multiplies the whole group
Dr. Karmach

Every ionic compound is neutral

Cations and anions carry charge; the compound carries none. Total positive cancels total negative. Na⁺ meets Cl⁻ one for one: the charges already cancel, so the formula is NaCl.

Dr. Karmach

Unequal charges: the counts adjust

Ca²⁺ carries twice the charge of Cl⁻, so two chlorides are needed: CaCl₂. Mg²⁺ meets O²⁻, equal and opposite, so MgO stays one for one. The ion counts change; the zero total never does.

Dr. Karmach

When neither charge cancels the other

Al³⁺ and O²⁻ cannot cancel one for one. The smallest totals that cancel are +6 and −6: two aluminums with three oxides, Al₂O₃. Charge balance alone fixes both subscripts.

Dr. Karmach

Recognizing an ionic compound

A metal with a nonmetal is ionic: the metal's atoms become cations, the nonmetal's become anions. Periodic position gives each ion its charge.

nonmetal charge = 8 − A-number
sulfur: Group 6A = IUPAC group 16 → 8 − 6 = 2 → 2− · 18-column: 18 − group, 18 − 16 = 2
Dr. Karmach

The name: cation, then anion

NaCl → sodium chloride
1(+1) + 1(−1) = 0 ✓ · the cation keeps its element name
MgBr₂ → magnesium bromide
1(+2) + 2(−1) = 0 ✓ · brom- + -ide · the subscript is never spoken

The cation is named first, unchanged. The anion takes its element's stem plus -ide. Subscripts come from charge balance, so the name does not repeat them.

Dr. Karmach

The -ide names

chlorine → chloride · oxygen → oxide · sulfur → sulfide
chlor- + -ide · ox- + -ide · sulf- + -ide
nitrogen → nitride · phosphorus → phosphide
nitr- + -ide · phosph- + -ide

The stem is the element name's opening syllables, and it can shorten the word: nitride, not nitrogenide. These five cover most binary ionic compounds.

Dr. Karmach

Your turn: name the anions

Br⁻ · I⁻ · Se²⁻
wanted: each anion's name
anion name
Br⁻
I⁻
Se²⁻

Attach -ide to each element's stem.

Dr. Karmach

Your turn: name the anions

Br⁻ · I⁻ · Se²⁻
wanted: each anion's name
anion name
Br⁻
I⁻
Se²⁻

Attach -ide to each element's stem.

bromide · iodide · selenide
brom- + -ide · iod- + -ide · selen- + -ide
Dr. Karmach

Fixed-charge and variable-charge metals

one possible charge: Group 1 → 1+ · Group 2 → 2+ · Ag⁺ · Zn²⁺ · Al³⁺
the name never carries a numeral · the three loners count up: Ag 1+, Zn 2+, Al 3+
more than one: Fe²⁺/Fe³⁺ · Cu⁺/Cu²⁺ · Sn²⁺/Sn⁴⁺ · Pb²⁺/Pb⁴⁺
iron(II) = Fe²⁺ · iron(III) = Fe³⁺ · the Roman numeral states the cation's charge
older labels: ferrous = iron(II) · ferric = iron(III)
-ous marks the lower charge, -ic the higher · recognize them; write the numeral form

A fixed-charge metal forms one cation; its name needs no numeral. A variable-charge metal forms more than one, so its name carries a Roman numeral stating the cation's charge.

Dr. Karmach

The criss-cross shortcut

Each charge number becomes the other ion's subscript, because those counts make the totals cancel. The shortcut is bookkeeping for charge balance, so finish with its two checks: the sum is zero, the ratio is smallest.

Dr. Karmach

The method

  1. Classify the compound. Metal + nonmetal: ionic.
  2. Identify the ions. Fixed: periodic position. Variable: numeral or anion total.
  3. Balance the charges to zero. Criss-cross, check, reduce.
  4. Assemble the answer. Name: cation, numeral if variable, -ide. Formula: smallest ratio.
Dr. Karmach

Worked example 1: K₂S

Step 1 · Classify the compound

K₂S
potassium, a metal · sulfur, a nonmetal → ionic · wanted: the name

Black powder burns to a residue containing K₂S. Name the compound.

Dr. Karmach

Worked example 1: solution

K₂S
potassium, a metal · sulfur, a nonmetal → ionic · wanted: the name

Step 2 · Identify the ions

K⁺ and S²⁻
K: Group 1 → 1+, fixed · S: Group 6A → 8 − 6 = 2 → 2−

Potassium has one possible charge, so no Roman numeral will appear.

Dr. Karmach

Worked example 1: solution

K₂S
potassium, a metal · sulfur, a nonmetal → ionic · wanted: the name
Step 2 · Identify the ions
K⁺ and S²⁻
K: Group 1 → 1+, fixed · S: Group 6A → 8 − 6 = 2 → 2−
Step 3 · Balance the charges to zero Step 4 · Assemble the answer

The subscript 2 records the balance already:

K₂S → potassium sulfide
2(+1) + 1(−2) = 0 ✓ · sulf- + -ide · the 2 is not spoken
Dr. Karmach

Worked example 1: solution

K₂S
potassium, a metal · sulfur, a nonmetal → ionic · wanted: the name
Step 2 · Identify the ions
K⁺ and S²⁻
K: Group 1 → 1+, fixed · S: Group 6A → 8 − 6 = 2 → 2−
Step 3 · Balance the charges to zero Step 4 · Assemble the answer
K₂S → potassium sulfide
2(+1) + 1(−2) = 0 ✓ · sulf- + -ide · the 2 is not spoken
No numbers appear in the name, and none are needed: K⁺ and S²⁻ reach zero charge only in a 2 : 1 ratio.
Dr. Karmach

Worked example 1: the route on the map

K₂S: potassium sulfide
name wanted · potassium: Group 1, one possible charge → no numeral

A fixed-charge metal takes the top exit: the element name, then the anion stem plus -ide. ✓
Dr. Karmach

Worked example 2: magnesium nitride

Step 1 · Classify the compound

magnesium nitride
magnesium, a metal · nitride, a nonmetal anion → ionic · wanted: the formula

Magnesium burning in air combines with nitrogen as well as oxygen. Write the formula for magnesium nitride.

Dr. Karmach

Worked example 2: solution

magnesium nitride
a metal with a nonmetal → ionic · wanted: the formula

Step 2 · Identify the ions

Mg²⁺ and N³⁻
Mg: Group 2 → 2+ · N: Group 5A → 8 − 5 = 3 → 3−
Dr. Karmach

Worked example 2: solution

magnesium nitride
a metal with a nonmetal → ionic · wanted: the formula
Step 2 · Identify the ions
Mg²⁺ and N³⁻
Mg: Group 2 → 2+ · N: Group 5A → 8 − 5 = 3 → 3−
Step 3 · Balance the charges to zero Step 4 · Assemble the answer

Neither charge cancels the other one-for-one. The smallest totals that cancel are +6 and −6: three Mg²⁺ with two N³⁻. The criss-cross shortcut writes each ion's charge as the other ion's subscript.

magnesium nitride → Mg₃N₂
3(+2) + 2(−3) = +6 − 6 = 0 ✓ · 3 and 2 share no common factor
Dr. Karmach

Worked example 2: solution

magnesium nitride
a metal with a nonmetal → ionic · wanted: the formula
Step 2 · Identify the ions
Mg²⁺ and N³⁻
Mg: Group 2 → 2+ · N: Group 5A → 8 − 5 = 3 → 3−
Step 3 · Balance the charges to zero Step 4 · Assemble the answer
magnesium nitride → Mg₃N₂
3(+2) + 2(−3) = +6 − 6 = 0 ✓ · 3 and 2 share no common factor
The formula sums to zero charge, in the smallest whole numbers that do it.
Dr. Karmach

Worked example 2: the route on the map

magnesium nitride: Mg₃N₂
formula wanted · Mg²⁺ and N³⁻ cross to 3 and 2 · no shared factor → keep

Unequal charges, no shared factor: the crossed subscripts are already the smallest ratio. ✓
Dr. Karmach

Your turn: calcium sulfide

calcium sulfide
wanted: the formula
step question answer
1 · classify the compound metal + nonmetal? ionic
2 · identify the ions both fixed: charges from periodic position Ca and S
3 · balance the charges to zero the criss-cross gives Ca₂S₂: is that the smallest ratio?
4 · assemble the answer

Complete the formula.

Dr. Karmach

Your turn: calcium sulfide

calcium sulfide
wanted: the formula
step question answer
1 · classify the compound metal + nonmetal? ionic
2 · identify the ions both fixed: charges from periodic position Ca and S
3 · balance the charges to zero the criss-cross gives Ca₂S₂: is that the smallest ratio?
4 · assemble the answer

Complete the formula.

calcium sulfide → CaS
1(+2) + 1(−2) = 0 ✓ · Ca₂S₂ reduces: a formula unit is the smallest ratio of ions, not a molecule
Dr. Karmach

Where this goes wrong

Greek prefixes on an ionic compound. CaCl₂ is calcium chloride, never calcium dichloride. Prefixes count atoms in molecular compounds. An ionic subscript comes from charge balance and is not spoken.
A Roman numeral on a fixed-charge metal. Sodium(I) chloride and calcium(II) bromide are never written. The numeral appears only when the metal has more than one possible charge.
Writing each ion's own charge as its own subscript. Al³⁺ with Cl⁻ is not Al₃Cl: 3(+3) + 1(−1) = +8, not neutral. Cross the charges instead: AlCl₃, 1(+3) + 3(−1) = 0.
Stopping before the smallest ratio. The criss-cross on Mg²⁺ and O²⁻ gives Mg₂O₂, and 2(+2) + 2(−2) = 0 balances. A formula unit is the smallest whole-number ratio: MgO.
Dr. Karmach

Practice 1

Na₂O
sodium, a metal · oxygen, a nonmetal → ionic

Window glass is made from a melt containing Na₂O. What is the correct name for Na₂O?

  1. sodium(II) oxide
  2. disodium monoxide
  3. sodium oxide
  4. sodium(I) oxide
Dr. Karmach

Practice 1 · answer: C

Na₂O → sodium oxide (answer C)
2(+1) + 1(−2) = 0 ✓ · Na: Group 1 → 1+, fixed

A read the subscript as a charge: sodium 2+ would give 2(+2) + 1(−2) = +2, not neutral; the 2 counts Na⁺ ions. B counts atoms with Greek prefixes, the naming system for molecular compounds. D writes a numeral for a metal with only one possible charge; numerals mark variable-charge metals only.

Na⁺ and O²⁻ reach zero charge only as 2 : 1, so the name needs no number.
Dr. Karmach

Worked example 3: Cu₂O

Step 1 · Classify the compound

Cu₂O
copper, a metal · oxygen, a nonmetal → ionic · wanted: the name

Cu₂O is the red pigment in antifouling boat paint. Copper is a variable-charge metal, so the name needs a Roman numeral.

A common first attempt: read the subscript 2 as copper's charge: copper(II) oxide. Test it.

Dr. Karmach

Worked example 3: testing the first attempt

Cu₂O
copper, a variable-charge metal · oxygen, a nonmetal → ionic · wanted: the name

A common first attempt

copper(II) oxide → each Cu would be 2+
2(+2) + 1(−2) = +2 ✗, not neutral
Dr. Karmach

Worked example 3: testing the first attempt

Cu₂O
copper, a variable-charge metal · oxygen, a nonmetal → ionic · wanted: the name

A common first attempt

copper(II) oxide → each Cu would be 2+
2(+2) + 1(−2) = +2 ✗, not neutral
The subscript 2 counts copper ions. It is not a charge.
Cu₂O is neutral, so any name for it must balance to zero.
Dr. Karmach

Worked example 3: solution

Cu₂O
copper, a variable-charge metal · oxygen, a nonmetal → ionic · wanted: the name

Step 2 · Identify the ions Step 3 · Balance the charges to zero

Oxide is fixed at 2−. Copper's charge must come from this formula: one O²⁻ contributes 2−, so the two Cu contribute +2 in total.

each Cu = +2 ÷ 2 = 1+
2(+1) + 1(−2) = 0 ✓
Dr. Karmach

Worked example 3: solution

Cu₂O
copper, a variable-charge metal · oxygen, a nonmetal → ionic · wanted: the name
Step 2 · Identify the ions Step 3 · Balance the charges to zero
each Cu = +2 ÷ 2 = 1+
2(+1) + 1(−2) = 0 ✓
Step 4 · Assemble the answer
Cu₂O → copper(I) oxide
the numeral reports the charge on each Cu, 1+ · the subscript already counts the ions
Dr. Karmach

Worked example 3: solution

Cu₂O
copper, a variable-charge metal · oxygen, a nonmetal → ionic · wanted: the name
Step 2 · Identify the ions Step 3 · Balance the charges to zero
each Cu = +2 ÷ 2 = 1+
2(+1) + 1(−2) = 0 ✓
Step 4 · Assemble the answer
Cu₂O → copper(I) oxide
the numeral reports the charge on each Cu, 1+ · the subscript already counts the ions
Copper(II) oxide exists, and it is a different compound: CuO, where 1(+2) + 1(−2) = 0. One numeral, one formula.
Dr. Karmach

Worked example 3: the route on the map

Cu₂O: copper(I) oxide
name wanted · copper: several possible charges → numeral · O²⁻ total 2− ÷ 2 Cu = 1+ each

A variable-charge metal takes the second exit. The numeral comes from the anion total, never from a subscript. ✓
Dr. Karmach

Take-home: the Roman numeral is a charge, not a count

Cu₂O → copper(I) oxide
two Cu ions, each 1+ · 2(+1) + 1(−2) = 0 ✓
CuO → copper(II) oxide
one Cu ion at 2+ · 1(+2) + 1(−2) = 0 ✓

The numeral states the charge on the cation, found by balancing the anion's total. Subscripts count ions; the numeral never does.

Dr. Karmach

Practice 2

FeO
iron, a variable-charge metal · oxygen, a nonmetal → ionic

FeO gives green bottle glass its tint. What is the correct name for FeO?

  1. iron(II) oxide
  2. iron(III) oxide
  3. iron oxide
  4. iron monoxide
Dr. Karmach

Practice 2 · answer: A

FeO → iron(II) oxide (answer A)
1(+2) + 1(−2) = 0 ✓ · one O²⁻ demands 2+ from one Fe

B recycles the 3+ from rust: here 1(+3) + 1(−2) = +1, not neutral; the numeral must balance this formula. C omits the numeral: iron has more than one possible charge, so "iron oxide" cannot separate FeO from Fe₂O₃. D counts atoms with a Greek prefix, the system for molecular compounds.

The numeral is settled one compound at a time: FeO holds Fe²⁺, and Fe₂O₃ holds Fe³⁺.
Dr. Karmach

Worked example 4: tin(IV) oxide

Step 1 · Classify the compound

tin(IV) oxide
tin, a metal · oxide, a nonmetal anion → ionic · wanted: the formula

Tin(IV) oxide is the polishing powder sold as putty powder. The Roman numeral hands over the cation's charge. Write the formula.

Dr. Karmach

Worked example 4: solution

tin(IV) oxide
a metal with a nonmetal → ionic · wanted: the formula

Step 2 · Identify the ions

The numeral states tin's charge directly: Sn⁴⁺. Oxide is O²⁻ from periodic position.

Dr. Karmach

Worked example 4: solution

tin(IV) oxide
a metal with a nonmetal → ionic · wanted: the formula
Step 2 · Identify the ions Step 3 · Balance the charges to zero
criss-cross: Sn₂O₄ · 2(+4) + 4(−2) = 0 ✓ · 2 and 4 share a factor of 2
a formula unit is a ratio of ions, not a molecule → divide both subscripts by 2
Dr. Karmach

Worked example 4: solution

tin(IV) oxide
a metal with a nonmetal → ionic · wanted: the formula
Step 2 · Identify the ions Step 3 · Balance the charges to zero
criss-cross: Sn₂O₄ · 2(+4) + 4(−2) = 0 ✓ · 2 and 4 share a factor of 2
a formula unit is a ratio of ions, not a molecule → divide both subscripts by 2
Step 4 · Assemble the answer
tin(IV) oxide → SnO₂
1(+4) + 2(−2) = 0 ✓ · smallest whole-number ratio
Dr. Karmach

Worked example 4: solution

tin(IV) oxide
a metal with a nonmetal → ionic · wanted: the formula
Step 2 · Identify the ions Step 3 · Balance the charges to zero
criss-cross: Sn₂O₄ · 2(+4) + 4(−2) = 0 ✓ · 2 and 4 share a factor of 2
a formula unit is a ratio of ions, not a molecule → divide both subscripts by 2
Step 4 · Assemble the answer
tin(IV) oxide → SnO₂
1(+4) + 2(−2) = 0 ✓ · smallest whole-number ratio
The numeral gave Sn⁴⁺ directly, and one 4+ cation balances exactly two 2− anions.
Dr. Karmach

Worked example 4: the route on the map

tin(IV) oxide: Sn₂O₄ reduces to SnO₂
formula wanted · Sn⁴⁺ from the numeral, O²⁻ · crossed 2 and 4 share a factor of 2 → reduce

The bottom exit: crossing balances the charge, and reducing makes the ratio smallest. ✓
Dr. Karmach

Take-home: when a formula reduces

ionic: Sn₂O₄ → SnO₂ · Mg₂O₂ → MgO
a formula unit is the smallest ratio of ions → always reduce
molecular: N₂O₄ stays N₂O₄ · polyatomic groups: SO₄²⁻ never changes
a molecular formula counts the atoms in one real molecule · a polyatomic ion is one fixed unit

Reduce an ionic formula unit to the smallest ratio. Never reduce a molecular formula, and never change the subscripts inside a polyatomic group.

Dr. Karmach

Practice 3

tin(IV) fluoride
tin, a metal · fluoride, F⁻ · wanted: the formula

Tin burns in fluorine gas to give tin(IV) fluoride, a white solid. Write the formula.

  1. Sn₄F
  2. SnF₂
  3. SnF
  4. SnF₄
Dr. Karmach

Practice 3 · answer: D

tin(IV) fluoride → SnF₄ (answer D)
1(+4) + 4(−1) = 0 ✓ · the numeral gives Sn⁴⁺ · 4 and 1 share no factor

B balances a different cation: 1(+2) + 2(−1) = 0 holds for Sn²⁺, so SnF₂ is tin(II) fluoride, the stannous fluoride on toothpaste labels. C pairs one of each ion: 1(+4) + 1(−1) = +3, not neutral. A writes the numeral as a count of tin atoms: 4(+4) + 1(−1) = +15.

The numeral is the charge on one Sn. Four 1− anions cancel it, so the 4 lands on fluorine.
Dr. Karmach

Practice 4

CuBr₂ · Fe₂S₃ · AlN · SrI₂
four binary ionic compounds, each with a name

Which formula and name pair has an error?

  1. CuBr₂, copper(I) bromide
  2. Fe₂S₃, iron(III) sulfide
  3. AlN, aluminum nitride
  4. SrI₂, strontium iodide
Dr. Karmach

Practice 4 · answer: A

CuBr₂: two Br⁻ carry 2(−1) = −2 → one Cu is 2+ → copper(II) bromide (answer A)
1(+2) + 2(−1) = 0 ✓ · copper(I) fails: 1(+1) + 2(−1) = −1 ✗

B is correct: three S²⁻ carry 3(−2) = −6, split over two Fe, 6 ÷ 2 = 3+ each; reading the subscript 2 as the charge gives the wrong numeral. C is correct: aluminum is fixed at 3+, 1(+3) + 1(−3) = 0, so no numeral. D is correct: 1(+2) + 2(−1) = 0, and strontium diiodide would borrow molecular prefixes.

A numeral reports each cation's charge, found from the anion total, never read off a subscript.
Dr. Karmach

Check yourself

  1. Name CrCl₃. Chromium is a variable-charge metal: where does its Roman numeral come from?
  2. Write the formula for barium nitride. Does your formula sum to zero charge?

A compound of two nonmetals contains no ions. Those molecular compounds are named with Greek prefixes: CO₂ is carbon dioxide. And some ions are charged groups of atoms; they carry their own names and follow the same charge-balance rule.

Dr. Karmach

8 · Polyatomic Ions

Recognize the common polyatomic ions, name compounds that contain them, and build formulas with parentheses wherever a group is multiplied.

Dr. Karmach

The names on the shelf

Baking soda's ingredient label reads sodium hydrogen carbonate. Household bleach lists sodium hypochlorite. Garden fertilizer lists ammonium nitrate. Everyday products; the labels name the chemistry inside.

Dr. Karmach

One group, one charge

A polyatomic ion is a bonded group of atoms with one overall charge. Nitrate holds one electron more than its atoms brought: that extra electron is the 1−. The group travels as one unit.

Dr. Karmach

The common polyatomic ions

Each formula is memorized with its charge. Together they are the ion's identity.

OH⁻ hydroxide · NO₃⁻ nitrate · NO₂⁻ nitrite · ClO₃⁻ chlorate · HCO₃⁻ hydrogen carbonate
charge 1− · the largest family
SO₄²⁻ sulfate · SO₃²⁻ sulfite · CO₃²⁻ carbonate · CrO₄²⁻ chromate
charge 2−
PO₄³⁻ phosphate · NH₄⁺ ammonium
phosphate: charge 3− · ammonium: 1+, the one common polyatomic cation
Dr. Karmach

-ate and -ite: the oxygen count

Suffixes and prefixes report oxygen count, never charge. -ate marks the higher count, -ite one fewer; per- (over) sits one above -ate, hypo- (under: hypodermic) one below -ite. The whole chlorine series carries 1−.

Dr. Karmach

Two patterns carry the list

Cl⁻ 1− → ClO₃⁻ 1− · S²⁻ 2− → SO₄²⁻ 2− · P³⁻ 3− → PO₄³⁻ 3−
the -ate ion keeps the monatomic anion's charge · exception: nitrate NO₃⁻ carries 1−

Table position sets the oxygen count; the -ate charge usually matches the monatomic anion. Nitrogen is the exception. Labels write bicarbonate for hydrogen carbonate.

Dr. Karmach

The method

  1. Identify the ions. Recall each ion's atoms and charge from the memorized list.
  2. Balance the charges to zero. Smallest counts that sum to zero.
  3. Write the formula or the name. Cation first; parentheses around a repeated polyatomic; no prefixes.
Dr. Karmach

Worked example 1: naming K₂CO₃

K₂CO₃: potash, a traditional glassmaking ingredient
given: the formula · wanted: the name

Potash lowers the melting point of the sand in a glass furnace. Name the compound.

Dr. Karmach

Worked example 1: solution

K₂CO₃
given: the formula · wanted: the name

Step 1 · Identify the ions

The group CO₃ with its charge is on the memorized list: carbonate, CO₃²⁻. The rest is potassium, K⁺.

Dr. Karmach

Worked example 1: solution

K₂CO₃
given: the formula · wanted: the name
Step 1 · Identify the ions Step 2 · Balance the charges to zero
K₂CO₃ = 2 K⁺ and 1 CO₃²⁻
charge: 2(+1) + 1(−2) = 0 ✓ · the split is consistent
Dr. Karmach

Worked example 1: solution

K₂CO₃
given: the formula · wanted: the name
Step 1 · Identify the ions Step 2 · Balance the charges to zero
K₂CO₃ = 2 K⁺ and 1 CO₃²⁻
charge: 2(+1) + 1(−2) = 0 ✓ · the split is consistent
Step 3 · Write the formula or the name

Cation first, then the anion:

K₂CO₃ → potassium carbonate
not "dipotassium carbonate": charge balance already fixes the counts
Dr. Karmach

Worked example 1: solution

K₂CO₃
given: the formula · wanted: the name
Step 1 · Identify the ions Step 2 · Balance the charges to zero
K₂CO₃ = 2 K⁺ and 1 CO₃²⁻
charge: 2(+1) + 1(−2) = 0 ✓ · the split is consistent
Step 3 · Write the formula or the name
K₂CO₃ → potassium carbonate
not "dipotassium carbonate": charge balance already fixes the counts
The name carries no numbers. The memorized charges rebuild them: reaching zero requires two K⁺ for one CO₃²⁻.
Dr. Karmach

Worked example 1: the route on the map

K₂CO₃ → 2 K⁺ + CO₃²⁻ → potassium carbonate
given: the formula · found: the name

Carbonate comes from the memorized list. The name exit carries no numbers. ✓
Dr. Karmach

Worked example 2: magnesium nitrate

magnesium nitrate: a nitrogen source in fertilizers
given: the name · wanted: the formula

Write the formula. A common first attempt: MgNO₃₂. Test it.

Dr. Karmach

Worked example 2: balancing the charges

magnesium nitrate
given: the name · wanted: the formula

A common first attempt

MgNO₃₂
reads as one N and one O₃₂: a 32-oxygen subscript, no nitrate group left ✗

Two nitrate ions were intended. Written without parentheses, the subscripts run together and the group disappears.

Dr. Karmach

Worked example 2: balancing the charges

magnesium nitrate
given: the name · wanted: the formula
A common first attempt
MgNO₃₂
reads as one N and one O₃₂: a 32-oxygen subscript, no nitrate group left ✗
Step 1 · Identify the ions

Magnesium forms Mg²⁺. Nitrate is on the memorized list: NO₃⁻.

Dr. Karmach

Worked example 2: balancing the charges

magnesium nitrate
given: the name · wanted: the formula
A common first attempt
MgNO₃₂
reads as one N and one O₃₂: a 32-oxygen subscript, no nitrate group left ✗
Step 1 · Identify the ions Step 2 · Balance the charges to zero
1(+2) + 1(−1) = +1 ✗  ·  1(+2) + 2(−1) = 0 ✓
one nitrate leaves +1 → one Mg²⁺ needs two NO₃⁻
Dr. Karmach

Worked example 2: balancing the charges

magnesium nitrate
given: the name · wanted: the formula
A common first attempt
MgNO₃₂
reads as one N and one O₃₂: a 32-oxygen subscript, no nitrate group left ✗
Step 1 · Identify the ions Step 2 · Balance the charges to zero
1(+2) + 1(−1) = +1 ✗  ·  1(+2) + 2(−1) = 0 ✓
one nitrate leaves +1 → one Mg²⁺ needs two NO₃⁻
The count of each ion may change; the charge on each ion may not. Two nitrates cancel one Mg²⁺.
Dr. Karmach

Worked example 2: writing the formula

magnesium nitrate = Mg²⁺ with two NO₃⁻
charge: 1(+2) + 2(−1) = 0 ✓

Step 3 · Write the formula or the name

Cation first, and the repeated polyatomic goes in parentheses:

Mg(NO₃)₂
atoms: 1 Mg · 2 N · 2 × 3 = 6 O · the 2 multiplies everything inside
Dr. Karmach

Worked example 2: writing the formula

magnesium nitrate = Mg²⁺ with two NO₃⁻
charge: 1(+2) + 2(−1) = 0 ✓
Step 3 · Write the formula or the name
Mg(NO₃)₂
atoms: 1 Mg · 2 N · 2 × 3 = 6 O · the 2 multiplies everything inside
The charges sum to zero, and each nitrate stays whole inside its parentheses.
Dr. Karmach

Worked example 2: the route on the map

magnesium nitrate → Mg²⁺ + 2 NO₃⁻ → Mg(NO₃)₂
given: the name · found: the formula

Nitrate is taken twice, so the route ends at the parentheses. ✓
Dr. Karmach

Take-home: parentheses keep the group whole

A subscript outside parentheses multiplies everything inside. Mg(NO₃)₂ holds 1 Mg, 2 N, and 6 O. A polyatomic ion taken more than once is always written in parentheses.

Dr. Karmach

Your turn: calcium hydroxide

calcium hydroxide: slaked lime, the base in mortar and plaster
given: the name · wanted: the formula
step question answer
1 · identify the ions cation and anion? Ca²⁺ and
2 · balance the charges to zero 1(+2) + (−1) = 0 hydroxides
3 · write the formula or the name parentheses needed?

Complete the three steps.

Dr. Karmach

Your turn: calcium hydroxide

calcium hydroxide: slaked lime, the base in mortar and plaster
given: the name · wanted: the formula
step question answer
1 · identify the ions cation and anion? Ca²⁺ and
2 · balance the charges to zero 1(+2) + (−1) = 0 hydroxides
3 · write the formula or the name parentheses needed?

Complete the three steps.

Ca(OH)₂
charge: 1(+2) + 2(−1) = 0 ✓ · atoms: 1 Ca · 2 O · 2 H
Hydroxide is 1−, so two groups balance one Ca²⁺. The parentheses keep each OH whole.
Dr. Karmach

Where this goes wrong

Reading -ite as a different charge. Sulfate SO₄²⁻ and sulfite SO₃²⁻ both carry 2−. The suffix changes the oxygen count, never the charge.
Borrowing another ion's charge. Nitrate is NO₃⁻, never NO₃²⁻: the 2− belongs to carbonate and sulfate. The charge is part of each ion's memorized identity.
Dropping the parentheses. CaOH₂ shows 1 O and 2 H. Calcium hydroxide holds two whole OH⁻ groups: Ca(OH)₂, with 2 O and 2 H.
Adding counting prefixes to the name. Mg(NO₃)₂ is magnesium nitrate, never magnesium dinitrate. Charge balance already fixes the counts; counting prefixes belong to molecular compounds, the next section.
Dr. Karmach

Practice 1

KClO₄: K⁺ with one ion from the chlorine series
given: the formula · wanted: the name

Fireworks carry KClO₄ as their oxygen supply. Name the compound.

  1. potassium chlorite
  2. potassium chloride
  3. potassium chlorate
  4. potassium perchlorate
Dr. Karmach

Practice 1 · answer: D

KClO₄ → potassium perchlorate (answer D)
K⁺ and ClO₄⁻ · one oxygen above chlorate, ClO₃⁻ · charge: 1(+1) + 1(−1) = 0 ✓

Four oxygens is one above the -ate member of the chlorine series: per- + chlorate. C, chlorate, is ClO₃⁻, one oxygen fewer. A, chlorite, is ClO₂⁻, two fewer. B, chloride, is Cl⁻, a monatomic ion with no oxygen at all.

Only the oxygen count separates these four names. Every choice pairs one K⁺ with one 1− anion, so the charge test cannot pick the name; the memorized series does.
Dr. Karmach

Worked example 3: ammonium phosphate

ammonium phosphate: a fertilizer supplying nitrogen and phosphorus at once
given: the name · wanted: the formula · both ions polyatomic

Write the formula. Both ions come from the memorized list.

Dr. Karmach

Worked example 3: solution

ammonium phosphate
given: the name · wanted: the formula

Step 1 · Identify the ions

Ammonium, the one common polyatomic cation: NH₄⁺. Phosphate: PO₄³⁻.

Dr. Karmach

Worked example 3: solution

ammonium phosphate
given: the name · wanted: the formula
Step 1 · Identify the ions Step 2 · Balance the charges to zero
1(+1) + 1(−3) = −2 ✗  ·  3(+1) + 1(−3) = 0 ✓
one PO₄³⁻ needs three NH₄⁺
Dr. Karmach

Worked example 3: solution

ammonium phosphate
given: the name · wanted: the formula
Step 1 · Identify the ions Step 2 · Balance the charges to zero
1(+1) + 1(−3) = −2 ✗  ·  3(+1) + 1(−3) = 0 ✓
one PO₄³⁻ needs three NH₄⁺
Step 3 · Write the formula or the name

The repeated ion is polyatomic, so it takes the parentheses. Phosphate appears once and needs none.

(NH₄)₃PO₄
atoms: 3 × 1 = 3 N · 3 × 4 = 12 H · 1 P · 1 × 4 = 4 O
Dr. Karmach

Worked example 3: solution

ammonium phosphate
given: the name · wanted: the formula
Step 1 · Identify the ions Step 2 · Balance the charges to zero
1(+1) + 1(−3) = −2 ✗  ·  3(+1) + 1(−3) = 0 ✓
one PO₄³⁻ needs three NH₄⁺
Step 3 · Write the formula or the name
(NH₄)₃PO₄
atoms: 3 × 1 = 3 N · 3 × 4 = 12 H · 1 P · 1 × 4 = 4 O
The charges sum to zero, and both groups stay intact on the page: three whole ammoniums, one whole phosphate.
Dr. Karmach

Worked example 3: the route on the map

ammonium phosphate → 3 NH₄⁺ + PO₄³⁻ → (NH₄)₃PO₄
given: the name · found: the formula

No metal: both ions come from the memorized list. Three ammoniums put NH₄ in parentheses. ✓
Dr. Karmach

Practice 2

ammonium sulfate: a lawn fertilizer
NH₄⁺, charge 1+ · SO₄²⁻, charge 2− · wanted: the formula

Write the formula for ammonium sulfate.

  1. NH₄SO₄
  2. (NH₄)₂SO₄
  3. (NH₄)₂SO₃
  4. NH₄(SO₄)₂
Dr. Karmach

Practice 2 · answer: B

(NH₄)₂SO₄ (answer B)
charge: 2(+1) + 1(−2) = 0 ✓ · atoms: 2 N · 2 × 4 = 8 H · 1 S · 4 O

A stops at one of each: 1(+1) + 1(−2) = −1, not zero. C balances its charges, 2(+1) + 1(−2) = 0, but holds sulfite, SO₃²⁻ (the -ite ion, one oxygen fewer). D doubles the wrong ion: 1(+1) + 2(−2) = −3.

Two 1+ cations cancel one 2− anion, and the repeated polyatomic, ammonium, takes the parentheses.
Dr. Karmach

Worked example 4: aluminum sulfate

aluminum sulfate: the coagulant that clears drinking water
given: the name · wanted: the formula · Al³⁺ with a polyatomic anion

Write the formula. A common first attempt criss-crosses the 3 into the group itself: Al₂SO₁₂. Test it.

Dr. Karmach

Worked example 4: testing the first attempt

aluminum sulfate
given: the name · wanted: the formula

A common first attempt

Al₂SO₁₂
the 3 crossed into the group: 3 × 4 = 12 O on one S · SO₁₂ is not sulfate ✗
Dr. Karmach

Worked example 4: testing the first attempt

aluminum sulfate
given: the name · wanted: the formula

A common first attempt

Al₂SO₁₂
the 3 crossed into the group: 3 × 4 = 12 O on one S · SO₁₂ is not sulfate ✗
Crossing into the group destroys it. Sulfate is one fixed unit: SO₄²⁻, four O, charge 2−.
A criss-crossed number may never change the inside of a polyatomic group.
Dr. Karmach

Worked example 4: solution

aluminum sulfate
given: the name · wanted: the formula

Step 1 · Identify the ions

Aluminum forms Al³⁺. Sulfate is on the memorized list: SO₄²⁻.

Dr. Karmach

Worked example 4: solution

aluminum sulfate
given: the name · wanted: the formula
Step 1 · Identify the ions Step 2 · Balance the charges to zero
2(+3) + 3(−2) = 0 ✓
criss-cross: the 2 counts Al³⁺, the 3 counts SO₄²⁻ groups
Dr. Karmach

Worked example 4: solution

aluminum sulfate
given: the name · wanted: the formula
Step 1 · Identify the ions Step 2 · Balance the charges to zero
2(+3) + 3(−2) = 0 ✓
criss-cross: the 2 counts Al³⁺, the 3 counts SO₄²⁻ groups
Step 3 · Write the formula or the name

The crossed 3 lands outside the parentheses; the 4 inside never changes.

Al₂(SO₄)₃
atoms: 2 Al · 3 S · 3 × 4 = 12 O · 2 and 3 share no factor
Dr. Karmach

Worked example 4: solution

aluminum sulfate
given: the name · wanted: the formula
Step 1 · Identify the ions Step 2 · Balance the charges to zero
2(+3) + 3(−2) = 0 ✓
criss-cross: the 2 counts Al³⁺, the 3 counts SO₄²⁻ groups
Step 3 · Write the formula or the name
Al₂(SO₄)₃
atoms: 2 Al · 3 S · 3 × 4 = 12 O · 2 and 3 share no factor
Three 2− groups cancel two 3+ ions, and each sulfate rides along whole inside its parentheses.
Dr. Karmach

Worked example 4: the route on the map

aluminum sulfate → 2 Al³⁺ + 3 SO₄²⁻ → Al₂(SO₄)₃
given: the name · found: the formula

The criss-cross lives in Step 2. The parentheses keep the 4 inside sulfate untouched. ✓
Dr. Karmach

Practice 3

calcium hydrogen carbonate
Ca²⁺ · HCO₃⁻, charge 1− · wanted: the formula

Calcium hydrogen carbonate is the dissolved mineral in hard water. Write the formula.

  1. CaHCO₃
  2. Ca(HCO₃)₂
  3. Ca₂HCO₃
  4. CaCO₃
Dr. Karmach

Practice 3 · answer: B

calcium hydrogen carbonate → Ca(HCO₃)₂ (answer B)
1(+2) + 2(−1) = 0 ✓ · the whole HCO₃⁻ group repeats, so it takes parentheses

A stops at one anion: 1(+2) + 1(−1) = +1, not neutral. C doubles the cation instead: 2(+2) + 1(−1) = +3. D balances, 1(+2) + 1(−2) = 0, but its anion is carbonate: CaCO₃ is calcium carbonate, a different compound.

Hydrogen carbonate carries 1− as one unit; two whole groups cancel one Ca²⁺.
Dr. Karmach

Practice 4

iron(III) sulfite
iron, a variable-charge metal · wanted: the formula

Write the formula for iron(III) sulfite.

  1. Fe₂(SO₄)₃
  2. FeSO₃
  3. Fe₃(SO₃)₂
  4. Fe₂(SO₃)₃
  5. Fe₂S₃O₉
Dr. Karmach

Practice 4 · answer: D

Fe³⁺ and SO₃²⁻ · 2(+3) + 3(−2) = 0 ✓ → Fe₂(SO₃)₃ (answer D)
(III) → Fe³⁺ · sulfite: one O fewer than sulfate, same 2− · atoms: 2 Fe · 3 S · 3 × 3 = 9 O

A kept the -ate: Fe₂(SO₄)₃ is iron(III) sulfate. B pairs one of each: 1(+3) + 1(−2) = +1; FeSO₃ balances only with Fe²⁺, iron(II) sulfite. C writes each ion's own charge as its own subscript: 3(+3) + 2(−2) = +5. E multiplies the 3 through: Fe₂S₃O₉ has the atoms but no sulfite group left.

Three 2− groups cancel two 3+ ions, and each sulfite stays whole inside its parentheses.
Dr. Karmach

Check yourself

  1. Sodium carbonate contains Na⁺ and CO₃²⁻. Write the formula, and show the charge sum that makes it neutral.
  2. KClO₄ and KClO₃: name both. Which piece of each name reports the oxygen count?

In a chemical equation, a polyatomic ion that passes through a reaction unchanged is balanced as one unit: count nitrate as nitrate, not as separate N and O atoms.

Dr. Karmach

9 · Naming Molecular Compounds and Acids

Decide whether a compound is ionic, molecular, or an acid, then build its name with that system's rules, or rebuild the formula from the name.

Dr. Karmach

One atom apart

A faulty furnace releases a deadly gas; homes carry an alarm for it. The fizz in soda is a different gas made of the same two elements.

Dr. Karmach

What a molecule is

A molecule is a discrete cluster of nonmetal atoms held together by covalent bonds: shared pairs of electrons. An ionic compound contains no molecules; its formula unit is the smallest ratio of ions.

Dr. Karmach

Seven elements are molecules of two

Free hydrogen, nitrogen, oxygen, fluorine, chlorine, bromine, and iodine each occur as two-atom molecules; the names all end in -gen or -ine. One word holds all seven: BrINClHOF.

Dr. Karmach

The element alone vs the element in a compound

oxygen, by itself → O₂
a sample of the pure element: every molecule is a pair
the oxygen in water → H₂O
2 H + 1 O per molecule: no O₂ anywhere inside

A diatomic formula describes the free element only. Inside a compound, the compound's subscripts set every count. In a reaction equation, free oxygen enters as O₂, never O.

Dr. Karmach

The compound's type decides the name

Chemistry has three naming systems: ionic, molecular, acid. The type decides which applies; they never mix. A polyatomic ion makes a compound ionic even with no metal: NH₄Cl is ammonium chloride, no counting prefixes.

Dr. Karmach

Molecular compounds: prefixes count atoms

1 mono- · 2 di- · 3 tri- · 4 tetra- · 5 penta- · 6 hexa- · 7 hepta- · 8 octa- · 9 nona- · 10 deca-
mono- is dropped on the first element only · a prefix's final a or o drops before oxide: mono- + oxide → monoxide

Two nonmetals form a molecular compound, and several ratios are often possible. The name carries the formula: a Greek prefix counts each element's atoms.

Dr. Karmach

Acids: a category of their own

HCl(g) = hydrogen chloride, a gas · HCl(aq) = an acid
the same molecule; dissolved in water it releases H⁺

An acid is a compound that releases H⁺ when dissolved in water. Its formula starts with H and carries (aq). Acids get their own names, under their own rules.

Dr. Karmach

The method

  1. Classify the compound. H first, dissolved in water → acid. Metal present → ionic. Two nonmetals → molecular.
  2. Apply that system's rules. One system per compound; rules never mix.
  3. Read the name back. A correct name rebuilds the formula.
Dr. Karmach

Worked example 1: CO and CO₂

CO · CO₂
the furnace gas: 1 C + 1 O · the soda gas: 1 C + 2 O

Both gases pair carbon with oxygen, one oxygen atom apart. Name each compound.

A common first attempt: name the elements and stop: carbon oxide. Test it.

Dr. Karmach

Worked example 1: solution

CO · CO₂
the furnace gas: 1 C + 1 O · the soda gas: 1 C + 2 O

A common first attempt

carbon oxide
fits CO and CO₂ equally: the name cannot rebuild either formula ✗

In an ionic name two element names are enough, because charges fix the ratio. Carbon and oxygen carry no charges to fix it.

Dr. Karmach

Worked example 1: solution

CO · CO₂
the furnace gas: 1 C + 1 O · the soda gas: 1 C + 2 O
A common first attempt
carbon oxide
fits CO and CO₂ equally: the name cannot rebuild either formula ✗
Step 1 · Classify the compound

No leading H, no metal: two nonmetals. A molecular compound, so prefixes count the atoms.

Dr. Karmach

Worked example 1: solution

CO · CO₂
the furnace gas: 1 C + 1 O · the soda gas: 1 C + 2 O
A common first attempt
carbon oxide
fits CO and CO₂ equally: the name cannot rebuild either formula ✗
Step 1 · Classify the compound Step 2 · Apply that system's rules
CO → carbon monoxide · CO₂ → carbon dioxide
1 C: mono- dropped on the first element · mono- + oxide → monoxide · 2 O → dioxide
Dr. Karmach

Worked example 1: solution

CO · CO₂
the furnace gas: 1 C + 1 O · the soda gas: 1 C + 2 O
A common first attempt
carbon oxide
fits CO and CO₂ equally: the name cannot rebuild either formula ✗
Step 1 · Classify the compound Step 2 · Apply that system's rules
CO → carbon monoxide · CO₂ → carbon dioxide
1 C: mono- dropped on the first element · mono- + oxide → monoxide · 2 O → dioxide
Step 3 · Read the name back

Monoxide rebuilds one O, dioxide two: each name recovers its own formula.

Dr. Karmach

Worked example 1: solution

CO · CO₂
the furnace gas: 1 C + 1 O · the soda gas: 1 C + 2 O
A common first attempt
carbon oxide
fits CO and CO₂ equally: the name cannot rebuild either formula ✗
Step 1 · Classify the compound Step 2 · Apply that system's rules
CO → carbon monoxide · CO₂ → carbon dioxide
1 C: mono- dropped on the first element · mono- + oxide → monoxide · 2 O → dioxide
Step 3 · Read the name back
Two different gases, two different names. The prefix is the part of the name that keeps them apart.
Dr. Karmach

Worked example 1: the route on the map

CO → carbon monoxide · CO₂ → carbon dioxide
given: two formulas · found: two names

Same branch, same rule, two counts: the prefix is the only part of the name that changes. ✓
Dr. Karmach

Take-home: prefixes carry the formula

nitrogen + oxygen: NO · NO₂ · N₂O · N₂O₄
four different compounds: "nitrogen oxide" fits every one ✗

Two nonmetals often combine in several ratios. A molecular name without prefixes loses the formula. Ionic names never need prefixes; molecular names always do.

Dr. Karmach

Worked example 2: formula from the name

tetraphosphorus decoxide
given: the name · wanted: the formula

Tetraphosphorus decoxide is a laboratory drying agent, sold as a white powder. Write its formula.

Dr. Karmach

Worked example 2: solution

tetraphosphorus decoxide
given: the name · wanted: the formula

Step 1 · Classify the compound

Counting prefixes appear only in molecular names: this is a molecular compound of phosphorus and oxygen.

Dr. Karmach

Worked example 2: solution

tetraphosphorus decoxide
given: the name · wanted: the formula
Step 1 · Classify the compound Step 2 · Apply that system's rules

Each prefix sets its own element's subscript:

tetraphosphorus decoxide → P₄O₁₀
tetra- → 4 P · dec(a)- → 10 O, the a dropped before oxide
Dr. Karmach

Worked example 2: solution

tetraphosphorus decoxide
given: the name · wanted: the formula
Step 1 · Classify the compound Step 2 · Apply that system's rules
tetraphosphorus decoxide → P₄O₁₀
tetra- → 4 P · dec(a)- → 10 O, the a dropped before oxide
Step 3 · Read the name back

P₄O₁₀ reads back to the same name: the subscripts stay 4 and 10, not a reduced ratio.

Dr. Karmach

Worked example 2: solution

tetraphosphorus decoxide
given: the name · wanted: the formula
Step 1 · Classify the compound Step 2 · Apply that system's rules
tetraphosphorus decoxide → P₄O₁₀
tetra- → 4 P · dec(a)- → 10 O, the a dropped before oxide
Step 3 · Read the name back
Ten O for four P: the name counted every atom, so the formula keeps exactly those counts.
Dr. Karmach

Worked example 2: the route on the map

tetraphosphorus decoxide → P₄O₁₀
given: the name · found: the formula

The prefixes alone placed it on the molecular branch. Run backward, each prefix becomes a subscript. ✓
Dr. Karmach

Your turn: Cl₂O₇

Cl₂O₇
chlorine and oxygen: two nonmetals, no leading H
step question answer
1 · classify acid, ionic, or molecular? molecular → prefixes
2 · apply 2 Cl · 7 O: which prefixes? chlorine oxide
3 · read back does the name rebuild Cl₂O₇?

Complete the name.

Dr. Karmach

Your turn: Cl₂O₇

Cl₂O₇
chlorine and oxygen: two nonmetals, no leading H
step question answer
1 · classify acid, ionic, or molecular? molecular → prefixes
2 · apply 2 Cl · 7 O: which prefixes? chlorine oxide
3 · read back does the name rebuild Cl₂O₇?

Complete the name.

Cl₂O₇ → dichlorine heptoxide
di- → 2 Cl · hept(a)- → 7 O, the a drops before oxide · reads back to Cl₂O₇ ✓
Dr. Karmach

Practice 1

N₂O₃
nitrogen and oxygen: two nonmetals, no leading H

N₂O₃ is one of several oxides of nitrogen found in polluted air. What is the correct name for N₂O₃?

  1. nitrogen oxide
  2. dinitrogen trioxide
  3. trinitrogen dioxide
  4. nitrous acid
Dr. Karmach

Practice 1 · answer: B

N₂O₃ → dinitrogen trioxide (answer B)
two nonmetals → molecular · di- → 2 N · tri- → 3 O

A drops the prefixes, and NO, NO₂, N₂O, and N₂O₃ would all share that name: the formula is lost. C swaps the prefixes: trinitrogen dioxide rebuilds N₃O₂, a different compound. D uses an acid name, but nitrous acid is HNO₂ dissolved in water, and N₂O₃ contains no hydrogen.

Read the name back: di- and tri- rebuild N₂O₃ ✓. Each prefix counts its own element.
Dr. Karmach

Acid names come from the anion

Remove the H and look at the anion. No oxygen: hydro- + root + -ic acid. Oxygen present: the anion's -ate becomes -ic, -ite becomes -ous, and hydro- never appears.

Dr. Karmach

Worked example 3: two acids

HCl(aq) · HNO₃(aq)
both start with H · both dissolved in water

HCl(aq) cleans concrete; HNO₃(aq) is used to make fertilizer. Name each compound.

A common first attempt: hydro- on both: hydrochloric acid and hydronitric acid. Test it.

Dr. Karmach

Worked example 3: HCl(aq)

HCl(aq) · HNO₃(aq)
both start with H · both dissolved in water

Step 1 · Classify the compound

H first and dissolved in water: both are acids. Acid rules, not counting prefixes.

Dr. Karmach

Worked example 3: HCl(aq)

HCl(aq) · HNO₃(aq)
both start with H · both dissolved in water
Step 1 · Classify the compound Step 2 · Apply that system's rules

Remove the H from HCl: the anion is chloride, Cl⁻, with no oxygen.

HCl(aq) → hydrochloric acid
anion: chloride, no oxygen → hydro- + chlor- + -ic acid
Dr. Karmach

Worked example 3: HCl(aq)

HCl(aq) · HNO₃(aq)
both start with H · both dissolved in water
Step 1 · Classify the compound Step 2 · Apply that system's rules
HCl(aq) → hydrochloric acid
anion: chloride, no oxygen → hydro- + chlor- + -ic acid
Without the water it is hydrogen chloride, a gas. The (aq) is what the acid name records.
Dr. Karmach

Worked example 3: HNO₃(aq)

HNO₃(aq)
an acid · anion: NO₃⁻, called nitrate; it holds three O

A common first attempt

hydronitric acid?
hydro- reads back to an anion with no oxygen; NO₃⁻ holds three ✗

Hydro- means the anion holds no oxygen. Nitrate holds three.

Dr. Karmach

Worked example 3: HNO₃(aq)

HNO₃(aq)
an acid · anion: NO₃⁻, called nitrate; it holds three O
A common first attempt
hydronitric acid?
hydro- reads back to an anion with no oxygen; NO₃⁻ holds three ✗
Step 2 · Apply that system's rules

Oxygen present, so the anion's suffix maps: -ate → -ic acid.

HNO₃(aq) → nitric acid
anion: nitrate → -ate becomes -ic · no hydro-
Dr. Karmach

Worked example 3: HNO₃(aq)

HNO₃(aq)
an acid · anion: NO₃⁻, called nitrate; it holds three O
A common first attempt
hydronitric acid?
hydro- reads back to an anion with no oxygen; NO₃⁻ holds three ✗
Step 2 · Apply that system's rules
HNO₃(aq) → nitric acid
anion: nitrate → -ate becomes -ic · no hydro-
Step 3 · Read the name back

Nitric acid reads back to HNO₃(aq) via nitrate; hydrochloric via chloride.

Dr. Karmach

Worked example 3: HNO₃(aq)

HNO₃(aq)
an acid · anion: NO₃⁻, called nitrate; it holds three O
A common first attempt
hydronitric acid?
hydro- reads back to an anion with no oxygen; NO₃⁻ holds three ✗
Step 2 · Apply that system's rules
HNO₃(aq) → nitric acid
anion: nitrate → -ate becomes -ic · no hydro-
Step 3 · Read the name back
Oxygen in the anion picks the rule. Nitrate holds three O, so the name takes no hydro-.
Dr. Karmach

Worked example 3: the route on the map

HCl(aq) → hydrochloric acid · HNO₃(aq) → nitric acid
given: two acids · found: two names

Both took the acid branch. The anion's ending split them: chloride → hydro-…-ic, nitrate → …-ic. ✓
Dr. Karmach

Take-home: hydro- means no oxygen

H₂S(aq) → hydrosulfuric acid
anion: sulfide, S²⁻ · no oxygen → hydro- + -ic
H₂SO₄(aq) → sulfuric acid · H₂SO₃(aq) → sulfurous acid
sulfate SO₄²⁻ → -ic · sulfite SO₃²⁻ → -ous · no hydro- on either

Hydro- appears only when the anion has no oxygen. With oxygen, the anion's suffix sets the acid's suffix: -ate → -ic, -ite → -ous. I ATE something ICky; spr-ITE is delici-OUS.

Dr. Karmach

The oxyacid ladder

Every rung of the oxyanion ladder makes an acid. Per- and hypo- pass into the acid name unchanged; only the tail maps: -ate becomes -ic, -ite becomes -ous.

Dr. Karmach

Where this goes wrong

Prefixes on an ionic compound. MgCl₂ is magnesium chloride, never magnesium dichloride. A metal is present, so charges fix the ratio; prefixes belong to molecular names.
Swapped prefixes. Each prefix counts its own element's atoms. Tetranitrogen dioxide rebuilds N₄O₂; the compound N₂O₄ is dinitrogen tetroxide.
An acid name without hydrogen. SO₃ is not sulfuric acid: sulfuric acid is H₂SO₄(aq). No leading H and no water: SO₃ is the molecular compound sulfur trioxide.
-ate mapped to -ous. Sulfate → sulfuric, sulfite → sulfurous. Naming H₂SO₄(aq) "sulfurous acid" points at the wrong compound: sulfurous acid is H₂SO₃(aq), built on sulfite.
Dr. Karmach

Practice 2

HF(aq)
H first · dissolved in water

HF dissolved in water etches patterns into glass. What is the correct name for HF(aq)?

  1. hydrogen fluoride
  2. fluoric acid
  3. hydrofluoric acid
  4. hydrogen monofluoride
Dr. Karmach

Practice 2 · answer: C

HF(aq) → hydrofluoric acid (answer C)
an acid · anion: fluoride, F⁻ · no oxygen → hydro- + fluor- + -ic acid

A names the pure gas, HF(g); the (aq) marks a dissolved acid with its own name. B drops hydro-: without it the name reads as an oxyacid, and fluoride holds no oxygen. D uses counting prefixes, and prefixes never appear in acid names.

Read the name back: hydro- marks a no-oxygen anion, fluoride ✓. The name rebuilds HF(aq).
Dr. Karmach

Worked example 4: sulfurous acid

sulfurous acid
given: the name · wanted: the formula

Sulfurous acid forms wherever sulfur dioxide meets water, including in acid rain. Write the formula.

Dr. Karmach

Worked example 4: solution

sulfurous acid
given: the name · wanted: the formula

Step 1 · Classify the compound

An acid name, so the formula starts with H and carries (aq).

Dr. Karmach

Worked example 4: solution

sulfurous acid
given: the name · wanted: the formula
Step 1 · Classify the compound Step 2 · Apply that system's rules

Run the suffix map backward: -ous came from -ite. The anion is sulfite, SO₃²⁻.

Dr. Karmach

Worked example 4: solution

sulfurous acid
given: the name · wanted: the formula
Step 1 · Classify the compound Step 2 · Apply that system's rules Charge balance sets the H count: each H⁺ is 1+, and sulfite is 2−.
2(+1) + 1(−2) = 0 → H₂SO₃(aq)
a 2− anion takes exactly two H⁺ · the name never states the 2; balance rebuilds it
Dr. Karmach

Worked example 4: solution

sulfurous acid
given: the name · wanted: the formula
Step 1 · Classify the compound Step 2 · Apply that system's rules
2(+1) + 1(−2) = 0 → H₂SO₃(aq)
a 2− anion takes exactly two H⁺ · the name never states the 2; balance rebuilds it
Step 3 · Read the name back

H₂SO₃ minus its hydrogens is sulfite, and -ite returns -ous: sulfurous acid ✓.

Dr. Karmach

Worked example 4: solution

sulfurous acid
given: the name · wanted: the formula
Step 1 · Classify the compound Step 2 · Apply that system's rules
2(+1) + 1(−2) = 0 → H₂SO₃(aq)
a 2− anion takes exactly two H⁺ · the name never states the 2; balance rebuilds it
Step 3 · Read the name back
The H count was never memorized. The anion's charge fixes it, the same balance that fixes every ionic subscript.
Dr. Karmach

Worked example 4: the route on the map

sulfurous acid → H₂SO₃(aq)
given: the name · found: the formula

Run backward: -ous came from -ite. Sulfite, SO₃²⁻, holds one O fewer than sulfate; its 2− sets two H. ✓
Dr. Karmach

Practice 3

phosphoric acid
an oxyacid · phosphate PO₄³⁻, charge 3− · wanted: the formula

Phosphoric acid gives cola its bite. Write the formula.

  1. H₃PO₃(aq)
  2. HPO₄(aq)
  3. H₂PO₄(aq)
  4. H₃PO₄(aq)
Dr. Karmach

Practice 3 · answer: D

phosphoric acid → H₃PO₄(aq) (answer D)
-ic came from -ate: phosphate, PO₄³⁻ · 3(+1) + 1(−3) = 0 ✓

B writes one H: 1(+1) + 1(−3) = −2, not neutral. C writes two: 2(+1) + 1(−3) = −1. A balances three H on the wrong rung: PO₃³⁻ is phosphite, and its acid is phosphorous acid, one rung down the ladder.

A 3− anion takes exactly three H⁺. Wrong H counts fail the charge check on sight.
Dr. Karmach

Practice 4

HClO(aq)
H first · dissolved in water · the anion is on the chlorine ladder

HClO(aq) is the working disinfectant in chlorinated pools. Name the compound.

  1. hypochlorous acid
  2. chlorous acid
  3. hydrochloric acid
  4. perchloric acid
Dr. Karmach

Practice 4 · answer: A

HClO(aq) → hypochlorous acid (answer A)
anion: ClO⁻, hypochlorite, 1 O · hypo-…-ite → hypo-…-ous

B starts from chlorite, ClO₂⁻, one rung up: chlorous acid is HClO₂(aq). C is the no-oxygen binary acid, HCl(aq); this anion holds one oxygen, so hydro- never appears. D starts from perchlorate, ClO₄⁻, the top rung: perchloric acid is HClO₄(aq).

Four rungs, four acids. The oxygen count picks the rung; the rung picks the name.
Dr. Karmach

Hydrates: water inside the crystal

CuSO₄·5H₂O: copper(II) sulfate pentahydrate
the dot attaches 5 water molecules to each formula unit · penta- counts them
heat drives the water off → CuSO₄, anhydrous
anhydrous: the same salt with no attached water

Some ionic solids hold a fixed count of loosely attached water molecules. The name is the ionic name plus a counting prefix and hydrate.

Dr. Karmach

Worked example 5: MgSO₄·7H₂O

MgSO₄·7H₂O: Epsom salt, sold in every drugstore
given: the formula · wanted: the name

The dot carries seven water molecules per formula unit. Name the compound.

Dr. Karmach

Worked example 5: solution

MgSO₄·7H₂O
given: the formula · wanted: the name

Step 1 · Classify the compound

A metal with a polyatomic anion: an ionic salt, carrying attached water. A hydrate.

Dr. Karmach

Worked example 5: solution

MgSO₄·7H₂O
given: the formula · wanted: the name
Step 1 · Classify the compound Step 2 · Apply that system's rules

Name the salt by the ionic rules, then count the waters with a prefix.

MgSO₄ → magnesium sulfate · 7 H₂O → heptahydrate
1(+2) + 1(−2) = 0 ✓ · no numeral: Mg is fixed at 2+ · hepta- = 7
Dr. Karmach

Worked example 5: solution

MgSO₄·7H₂O
given: the formula · wanted: the name
Step 1 · Classify the compound Step 2 · Apply that system's rules
MgSO₄ → magnesium sulfate · 7 H₂O → heptahydrate
1(+2) + 1(−2) = 0 ✓ · no numeral: Mg is fixed at 2+ · hepta- = 7
Step 3 · Read the name back
MgSO₄·7H₂O → magnesium sulfate heptahydrate
heptahydrate rebuilds exactly ·7H₂O ✓
Dr. Karmach

Worked example 5: solution

MgSO₄·7H₂O
given: the formula · wanted: the name
Step 1 · Classify the compound Step 2 · Apply that system's rules
MgSO₄ → magnesium sulfate · 7 H₂O → heptahydrate
1(+2) + 1(−2) = 0 ✓ · no numeral: Mg is fixed at 2+ · hepta- = 7
Step 3 · Read the name back
MgSO₄·7H₂O → magnesium sulfate heptahydrate
heptahydrate rebuilds exactly ·7H₂O ✓
One name, two jobs: charge balance rebuilds the salt, and the prefix rebuilds the water count.
Dr. Karmach

Worked example 5: the route on the map

MgSO₄·7H₂O → magnesium sulfate heptahydrate
given: the formula · found: the name

A metal is present: the ionic branch. The waters carry the only prefix in the name. ✓
Dr. Karmach

Practice 5

N₂O₅ · HI(aq) · HClO₃(aq) · FeCl₃·6H₂O
four compounds, each with a name

Which formula and name pair has an error?

  1. N₂O₅, dinitrogen pentoxide
  2. HI(aq), hydroiodic acid
  3. HClO₃(aq), chlorous acid
  4. FeCl₃·6H₂O, iron(III) chloride hexahydrate
Dr. Karmach

Practice 5 · answer: C

HClO₃(aq): anion ClO₃⁻, chlorate → -ate becomes -ic → chloric acid (answer C)
chlorous acid is HClO₂(aq), built on chlorite · 1(+1) + 1(−1) = 0 → one H ✓

A is correct: two nonmetals take prefixes, di- → 2 N, pent(a)- → 5 O; nitrogen(V) oxide would borrow the ionic numeral. B is correct: iodide holds no oxygen, so hydro- + iod- + -ic. D is correct: three Cl⁻ demand Fe³⁺, 1(+3) + 3(−1) = 0, and hexa- counts the 6 waters.

The anion's suffix sets the acid's: chlorate → chloric, chlorite → chlorous.
Dr. Karmach

Check yourself

  1. Sulfur and fluorine form SF₆, a gas used to insulate electrical equipment. Classify the compound and name it.
  2. NO₂⁻ is nitrite and NO₃⁻ is nitrate. Name HNO₂(aq) and HNO₃(aq).

Sulfate, sulfite, nitrate, and nitrite are the polyatomic ions of the last section put to work: each oxyacid name is built from its oxyanion.

Dr. Karmach

10 · Organic Nomenclature Basics

Read a straight-chain alkane's name off its carbon count (and back again), write its molecular formula CₙH₂ₙ₊₂, and recognize the common functional groups that set a molecule's family.

Dr. Karmach

Carbon builds a whole language

The fuels we burn, the plastics we mold, and the molecules of life are nearly all built on carbon. Their names follow one rule: count the carbons.

Dr. Karmach

Hydrocarbon names count carbons

CO₂ → carbon dioxide · C₃H₈ → propane
molecular name: a prefix counts each element's atoms · hydrocarbon name: one prefix counts the carbons, never tricarbon octahydride

Molecular names count atoms with mono- through deca-. Hydrocarbons use one prefix, for the carbons only; the hydrogens follow from that count. From five carbons up, the roots match: penta-/pent-, hexa-/hex-.

Dr. Karmach

Carbon forms four bonds

A carbon atom holds four valence electrons (the outermost ones) and shares four more to reach a full octet of eight: four covalent bonds. Organic compounds are carbon-based; hydrocarbons contain only carbon and hydrogen.

C: 4 valence e⁻ + 4 shared e⁻ = octet of 8 → 4 covalent bonds
those four bonds let carbon chain and branch into the skeletons of fuels, plastics, and tissue
Dr. Karmach

Alkanes: all single bonds

An alkane is the simplest hydrocarbon: every bond is a single bond. Each carbon carries two hydrogens, and the two chain ends carry one extra cap each.

alkane: CₙH₂ₙ₊₂
n carbons → 2n + 2 hydrogens · methane CH₄ (2×1+2 = 4), ethane C₂H₆ (2×2+2 = 6)
Dr. Karmach

The naming ladder

A name has two parts: a prefix that counts the carbons and the ending -ane for a single-bonded alkane. meth‑, eth‑, prop‑, but‑ (1–4) are historical; pent‑ (5) onward use the Greek/Latin number roots.

Dr. Karmach

The method

  1. Count the carbons: the count is n.
  2. Pick the prefix for n from the ladder.
  3. Add -ane: prefix + -ane is the name.
  4. Fill in hydrogens: H = 2n + 2.
meth 1 · eth 2 · prop 3 · but 4 · pent 5 · hex 6 · hept 7 · oct 8 · non 9 · dec 10
Monkeys Eat Peanut Butter carries the first four · pent onward reuses the Greek counting prefixes · prefix + -ane → the name · n carbons → CₙH₂ₙ₊₂
Dr. Karmach

The method on the map

Every route runs through n, the carbon count. Step 1 reads n from whatever is given. Steps 2 and 3 turn n into the name. Step 4 turns n into the formula.

Dr. Karmach

Worked example 1: a 7-carbon alkane

a straight-chain alkane with 7 carbon atoms
wanted: its name and its molecular formula

Everything you need is the carbon count. Read off the prefix, tack on the ending, then let H = 2n + 2 finish the formula.

Dr. Karmach

Worked example 1: solution

a straight-chain alkane with 7 carbon atoms
wanted: its name and its molecular formula

Step 1 · Count the carbons Step 2 · Pick the prefix

The count is given: n = 7. Seven carbons take the prefix hept-.

Dr. Karmach

Worked example 1: solution

a straight-chain alkane with 7 carbon atoms
wanted: its name and its molecular formula
Step 1 · Count the carbons Step 2 · Pick the prefix Step 3 · Add -ane

Every bond is single, so the ending is -ane. hept- + -ane = heptane.

Dr. Karmach

Worked example 1: solution

a straight-chain alkane with 7 carbon atoms
wanted: its name and its molecular formula
Step 1 · Count the carbons Step 2 · Pick the prefix Step 3 · Add -ane Step 4 · Fill in hydrogens
heptane = C₇H₁₆
7 carbons · 2×7 + 2 = 16 hydrogens · matches CₙH₂ₙ₊₂
Dr. Karmach

Worked example 1: solution

a straight-chain alkane with 7 carbon atoms
wanted: its name and its molecular formula
Step 1 · Count the carbons Step 2 · Pick the prefix Step 3 · Add -ane Step 4 · Fill in hydrogens
heptane = C₇H₁₆
7 carbons · 2×7 + 2 = 16 hydrogens · matches CₙH₂ₙ₊₂
The prefix carried the carbon count and the formula carried the hydrogens: no memorizing needed once you know 2n + 2.

Dr. Karmach

Worked example 2: the name from the formula

C₄H₁₀, a straight-chain alkane
given: the molecular formula · wanted: its name

Lighter fluid is C₄H₁₀. The naming runs in reverse: read n off the formula, then check that the hydrogens agree.

Dr. Karmach

Worked example 2: solution

C₄H₁₀, a straight-chain alkane
given: the molecular formula · wanted: its name

Step 1 · Count the carbons

The subscript on C is the count: n = 4.

Dr. Karmach

Worked example 2: solution

C₄H₁₀, a straight-chain alkane
given: the molecular formula · wanted: its name
Step 1 · Count the carbons Step 2 · Pick the prefix Step 3 · Add -ane

Four carbons take but-; every bond is single, so the ending is -ane. but- + -ane = butane.

Dr. Karmach

Worked example 2: solution

C₄H₁₀, a straight-chain alkane
given: the molecular formula · wanted: its name
Step 1 · Count the carbons Step 2 · Pick the prefix Step 3 · Add -ane Step 4 · Fill in hydrogens
butane = C₄H₁₀
2×4 + 2 = 10 hydrogens: the given formula agrees ✓
Dr. Karmach

Worked example 2: solution

C₄H₁₀, a straight-chain alkane
given: the molecular formula · wanted: its name
Step 1 · Count the carbons Step 2 · Pick the prefix Step 3 · Add -ane Step 4 · Fill in hydrogens
butane = C₄H₁₀
2×4 + 2 = 10 hydrogens: the given formula agrees ✓
The hydrogen count confirms the family: 10 matches 2n + 2, so every bond is single and -ane is the right ending.

Dr. Karmach

Your turn: a 9-carbon alkane

a straight-chain alkane with 9 carbon atoms
wanted: its name and its molecular formula
step question answer
1 · count the carbons n = ? 9
2 · pick the prefix the ladder at 9
3 · add -ane the name
4 · fill in hydrogens 2×9 + 2 = ?

Complete the name and the formula.

Dr. Karmach

Your turn: a 9-carbon alkane

a straight-chain alkane with 9 carbon atoms
wanted: its name and its molecular formula
step question answer
1 · count the carbons n = ? 9
2 · pick the prefix the ladder at 9
3 · add -ane the name
4 · fill in hydrogens 2×9 + 2 = ?

Complete the name and the formula.

nonane = C₉H₂₀
non- + -ane · 2×9 + 2 = 20 hydrogens
Dr. Karmach

Condensed vs. structural formulas

A structural formula draws every bond; a condensed formula groups each carbon with its hydrogens and drops the C–H lines. Same molecule, shorter notation.

propane: CH₃CH₂CH₃ = C₃H₈
three carbons written left to right · 3 + 3 + 2 = 8 hydrogens

Long runs of CH₂ collapse further: pentane is CH₃CH₂CH₂CH₂CH₃, or CH₃(CH₂)₃CH₃.

Dr. Karmach

Guided example: a condensed structure

CH₃CH₂(CH₂)₄CH₂CH₃
one unbranched chain, single bonds only · wanted: its name and molecular formula

This chain is one of the hydrocarbons in gasoline. Name it and give its molecular formula.

On the map, enter at the condensed structure. Every route runs through n.

Dr. Karmach

Guided example: solution

CH₃CH₂(CH₂)₄CH₂CH₃
one unbranched chain, single bonds only · wanted: its name and molecular formula

Step 1 · Count the carbons

Every written group holds one carbon. The subscript 4 counts only the CH₂ units inside the parentheses.

1 + 1 + 4 + 1 + 1 = 8 carbons
CH₃ · CH₂ · (CH₂)₄ · CH₂ · CH₃ → n = 8
Dr. Karmach

Guided example: solution

CH₃CH₂(CH₂)₄CH₂CH₃
one unbranched chain, single bonds only · wanted: its name and molecular formula
Step 1 · Count the carbons
1 + 1 + 4 + 1 + 1 = 8 carbons
CH₃ · CH₂ · (CH₂)₄ · CH₂ · CH₃ → n = 8
Step 2 · Pick the prefix Step 3 · Add -ane

Eight carbons take oct-. Every bond is single, so the ending is -ane: octane.

Dr. Karmach

Guided example: solution

CH₃CH₂(CH₂)₄CH₂CH₃
one unbranched chain, single bonds only · wanted: its name and molecular formula
Step 1 · Count the carbons
1 + 1 + 4 + 1 + 1 = 8 carbons
CH₃ · CH₂ · (CH₂)₄ · CH₂ · CH₃ → n = 8
Step 2 · Pick the prefix Step 3 · Add -ane Step 4 · Fill in hydrogens
octane = C₈H₁₈
2×8 + 2 = 18 H · by groups: 3 + 2 + 4(2) + 2 + 3 = 18 ✓
Dr. Karmach

Guided example: solution

CH₃CH₂(CH₂)₄CH₂CH₃
one unbranched chain, single bonds only · wanted: its name and molecular formula
Step 1 · Count the carbons
1 + 1 + 4 + 1 + 1 = 8 carbons
CH₃ · CH₂ · (CH₂)₄ · CH₂ · CH₃ → n = 8
Step 2 · Pick the prefix Step 3 · Add -ane Step 4 · Fill in hydrogens
octane = C₈H₁₈
2×8 + 2 = 18 H · by groups: 3 + 2 + 4(2) + 2 + 3 = 18 ✓
The count by groups agrees with 2n + 2: 18 hydrogens both ways, so octane is C₈H₁₈. ✓
Dr. Karmach

Guided example: the route on the map

CH₃CH₂(CH₂)₄CH₂CH₃ → octane, C₈H₁₈
given: the condensed structure · found: n = 8, the name, and the formula

Collapsed fully, the same chain is CH₃(CH₂)₆CH₃: two CH₃ ends plus 8 − 2 = 6 CH₂ units.
Dr. Karmach

Functional groups: a molecule's family

Trade a hydrogen for a small cluster of atoms (a functional group) and the molecule joins a new family with new chemistry. Recognize each group and the family it marks.

Dr. Karmach

Where this goes wrong

Off-by-one prefix. but- is 4 carbons, not 5: pent- is 5; miscounting the chain misnames the whole compound.
Using CₙH₂ₙ for an alkane. That count is two H short of 2n + 2; a single-bonded alkane always has 2n + 2 H: propane is C₃H₈, not C₃H₆.
–OH vs. –COOH. A bare –OH is an alcohol, but the full –COOH (a C=O and an –OH on the same carbon) is a carboxylic acid.
Aldehyde vs. ketone. Both hold C=O, but an aldehyde's carbonyl sits at a chain end (–CHO) while a ketone's is between two carbons.
Dr. Karmach

Practice 1

pentane: a straight-chain alkane with 5 carbon atoms
wanted: its molecular formula

Which is the molecular formula of pentane?

  1. C₅H₁₀
  2. C₅H₁₂
  3. C₆H₁₄
  4. C₅H₁₁
Dr. Karmach

Practice 1 · answer: B

pentane: n = 5 → 2×5 + 2 = 12 → C₅H₁₂
answer B: five carbons, twelve hydrogens

A (C₅H₁₀) stops at 2n hydrogens, two H short of the 2n + 2 count. C (C₆H₁₄) is the six-carbon alkane, hexane: one carbon too many. D (C₅H₁₁) has an odd H count no neutral alkane can have. Only B obeys CₙH₂ₙ₊₂.

Dr. Karmach

Practice 1 · answer: B

pentane: n = 5 → 2×5 + 2 = 12 → C₅H₁₂
answer B: five carbons, twelve hydrogens

A (C₅H₁₀) stops at 2n hydrogens, two H short of the 2n + 2 count. C (C₆H₁₄) is the six-carbon alkane, hexane: one carbon too many. D (C₅H₁₁) has an odd H count no neutral alkane can have. Only B obeys CₙH₂ₙ₊₂.

Every straight-chain alkane has an even number of hydrogens: an odd count is impossible for a neutral alkane.

Dr. Karmach

Practice 2

CH₃CH₂(CH₂)₆CH₂CH₃
a condensed structure, one unbranched chain, single bonds only · wanted: name and molecular formula

Name this compound and give its carbon and hydrogen totals.

  1. decane, C₁₀H₂₂
  2. decane, C₁₀H₂₀
  3. octane, C₈H₁₈
  4. octane, C₈H₁₆
  5. carbon hydride, C₁₀H₂₂
Dr. Karmach

Practice 2 · answer: A

CH₃CH₂(CH₂)₆CH₂CH₃: 1 + 1 + 6 + 1 + 1 = 10 C → decane, C₁₀H₂₂ (answer A)
dec- + -ane · 2×10 + 2 = 22 H · by groups: 3 + 2 + 6(2) + 2 + 3 = 22 ✓

B is the CₙH₂ₙ count, 2×10 = 20, two H short of an alkane. C counted the two ends and the run but missed the two CH₂ written outside the parentheses: 1 + 6 + 1 = 8, octane. D makes both slips: eight carbons and 2×8 = 16 H. E has the right formula but the binary name with no prefixes; hydrocarbons take the alkane ladder.

Dr. Karmach

Practice 2 · answer: A

CH₃CH₂(CH₂)₆CH₂CH₃: 1 + 1 + 6 + 1 + 1 = 10 C → decane, C₁₀H₂₂ (answer A)
dec- + -ane · 2×10 + 2 = 22 H · by groups: 3 + 2 + 6(2) + 2 + 3 = 22 ✓

B is the CₙH₂ₙ count, 2×10 = 20, two H short of an alkane. C counted the two ends and the run but missed the two CH₂ written outside the parentheses: 1 + 6 + 1 = 8, octane. D makes both slips: eight carbons and 2×8 = 16 H. E has the right formula but the binary name with no prefixes; hydrocarbons take the alkane ladder.

Every written group holds one carbon; the subscript 6 counts only the CH₂ units inside the parentheses.

Dr. Karmach

Practice 3

nonane
a straight-chain alkane, single bonds only · wanted: its condensed structure

Nonane is one of the hydrocarbons in jet fuel. Which condensed structure is nonane?

  1. CH₃(CH₂)₈CH₃
  2. CH₃(CH₂)₉CH₃
  3. CH₃(CH₂)₇CH₃
  4. CH₃(CH₂)₇CH₂
  5. CH₂(CH₂)₇CH₂
Dr. Karmach

Practice 3 · answer: C

nonane: n = 9 → two CH₃ ends + 9 − 2 = 7 CH₂ → CH₃(CH₂)₇CH₃ (answer C)
count back: 1 + 7 + 1 = 9 C · H: 3 + 7(2) + 3 = 20 = 2×9 + 2 ✓

A subtracted only one end: 1 + 8 + 1 = 10 C, decane. B put all nine inside the parentheses: 1 + 9 + 1 = 11 C. D ends on CH₂: 3 + 7(2) + 2 = 19 H, an odd count. E dropped both CH₃ caps: 2 + 7(2) + 2 = 18 H, the CₙH₂ₙ count, two short.

Dr. Karmach

Practice 3 · answer: C

nonane: n = 9 → two CH₃ ends + 9 − 2 = 7 CH₂ → CH₃(CH₂)₇CH₃ (answer C)
count back: 1 + 7 + 1 = 9 C · H: 3 + 7(2) + 3 = 20 = 2×9 + 2 ✓

A subtracted only one end: 1 + 8 + 1 = 10 C, decane. B put all nine inside the parentheses: 1 + 9 + 1 = 11 C. D ends on CH₂: 3 + 7(2) + 2 = 19 H, an odd count. E dropped both CH₃ caps: 2 + 7(2) + 2 = 18 H, the CₙH₂ₙ count, two short.

Count back what you wrote: the two ends plus the subscript must return the 9 that non- promised.

Dr. Karmach

Practice 4

CH₃(CH₂)₅CH₃
condensed structure, one unbranched chain, single bonds only · wanted: H atoms per molecule

How many hydrogen atoms are in one molecule of this compound?

  1. 8
  2. 14
  3. 15
  4. 16
Dr. Karmach

Practice 4 · answer: D

CH₃(CH₂)₅CH₃: 1 + 5 + 1 = 7 C → H = 2×7 + 2 = 16 (answer D)
heptane, C₇H₁₆ · by groups: 3 + 5(2) + 3 = 16 ✓

A (8) reads (CH₂)₅ as a single CH₂ and drops the subscript: 3 + 2 + 3 = 8. B (14) is the CₙH₂ₙ count, 2×7 = 14, two H short of an alkane. C (15) writes one CH₃ end as CH₂: 3 + 5(2) + 2 = 15, an odd count no neutral alkane can have.

Dr. Karmach

Practice 4 · answer: D

CH₃(CH₂)₅CH₃: 1 + 5 + 1 = 7 C → H = 2×7 + 2 = 16 (answer D)
heptane, C₇H₁₆ · by groups: 3 + 5(2) + 3 = 16 ✓

A (8) reads (CH₂)₅ as a single CH₂ and drops the subscript: 3 + 2 + 3 = 8. B (14) is the CₙH₂ₙ count, 2×7 = 14, two H short of an alkane. C (15) writes one CH₃ end as CH₂: 3 + 5(2) + 2 = 15, an odd count no neutral alkane can have.

The subscript 5 multiplies the whole CH₂ unit: five carbons and ten hydrogens sit inside the parentheses.

Dr. Karmach

Practice 5

CH₃CH₂(CH₂)₂CH₂CH₃
a condensed structure, one unbranched chain, single bonds only · wanted: its name

This solvent extracts cooking oil from soybeans. What is the name of this compound?

  1. butane
  2. pentane
  3. hexane
  4. hexacarbon tetradecahydride
  5. carbon hydride
Dr. Karmach

Practice 5 · answer: C

CH₃CH₂(CH₂)₂CH₂CH₃: 1 + 1 + 2 + 1 + 1 = 6 C → hex- + -ane = hexane (answer C)
C₆H₁₄ · 2×6 + 2 = 14 H · by groups: 3 + 2 + 2(2) + 2 + 3 = 14 ✓

A (butane) misses both CH₂ outside the parentheses: 1 + 2 + 1 = 4. B (pentane) catches only one of them: 1 + 2 + 1 + 1 = 5. D (hexacarbon tetradecahydride) gets C₆H₁₄ right but uses the binary-molecular prefixes, and E (carbon hydride) uses the no-prefix binary name. Hydrocarbons take their names from the alkane ladder.

Dr. Karmach

Practice 5 · answer: C

CH₃CH₂(CH₂)₂CH₂CH₃: 1 + 1 + 2 + 1 + 1 = 6 C → hex- + -ane = hexane (answer C)
C₆H₁₄ · 2×6 + 2 = 14 H · by groups: 3 + 2 + 2(2) + 2 + 3 = 14 ✓

A (butane) misses both CH₂ outside the parentheses: 1 + 2 + 1 = 4. B (pentane) catches only one of them: 1 + 2 + 1 + 1 = 5. D (hexacarbon tetradecahydride) gets C₆H₁₄ right but uses the binary-molecular prefixes, and E (carbon hydride) uses the no-prefix binary name. Hydrocarbons take their names from the alkane ladder.

Count every written carbon group: both ends, both outside CH₂, plus the subscript. The prefix then comes from the ladder, and -ane closes the name.

Dr. Karmach

Check yourself

  1. Name the alkane with formula C₆H₁₄ and write its condensed structure.
  2. A molecule contains a –COOH group: which family is it, and how does that group differ from a plain –OH?

Naming branched chains and ranking how these families react is the work of a full organic-chemistry course. For now you can already read a straight-chain alkane's name straight off its carbon count and spot the functional group that sets a molecule's family.

Dr. Karmach

11 · Choosing the Naming System

Decide which naming system a compound uses before applying any rule, so ionic, molecular, and acid names never mix.

Dr. Karmach

One gas, two labels

Only one of these labels names the gas: carbon dioxide. The other applies ionic rules to a compound with no ions. Every naming problem starts by classifying the compound.

Dr. Karmach

One compound, one system

Three naming systems exist, and a compound's type picks exactly one. Classify before any rule; a name built with the wrong system misleads or names nothing.

Dr. Karmach

Three questions, asked in order

1 · H first, dissolved in water? → acid
HNO₃(aq): nitric acid
2 · metal or NH₄⁺ present? → ionic
NaCl: sodium chloride · CuCl₂: copper(II) chloride, numeral for a variable-charge metal
3 · two nonmetals? → molecular
P₂O₅: diphosphorus pentoxide, prefixes count the atoms

The first yes wins. An acid outranks the metal test, and a metal or ammonium outranks counting prefixes.

Dr. Karmach

Each system leaves a signature

Roman numeral → ionic, variable-charge metal · counting prefix → molecular · acid ending → acid
copper(II) … · dioxide, trichloride … · hydro-…-ic, -ic, -ous

A name's own pieces reveal its system. Match the signature when reading a name; never borrow another system's pieces when writing one.

Dr. Karmach

The method

  1. Classify the compound. H first, (aq) → acid. Metal or NH₄⁺ → ionic. Two nonmetals → molecular.
  2. Apply that system's rules. Numeral for variable-charge metals; prefixes for molecular; suffix map for acids.
  3. Read the name back.
Dr. Karmach

Worked example 1: CuCl₂

CuCl₂
given: the formula · wanted: the name

CuCl₂ colors flames blue-green in pyrotechnics. Name the compound.

A common first attempt reaches for prefixes: copper dichloride. Test it.

Dr. Karmach

Worked example 1: testing the first attempt

CuCl₂
given: the formula · wanted: the name

A common first attempt

copper dichloride
a counting prefix on a compound that holds a metal ✗
Dr. Karmach

Worked example 1: testing the first attempt

CuCl₂
given: the formula · wanted: the name

A common first attempt

copper dichloride
a counting prefix on a compound that holds a metal ✗
Prefixes belong to the molecular system. The subscript here comes from charge balance and is never spoken.
The name's system must match the compound's type before any rule applies.
Dr. Karmach

Worked example 1: solution

CuCl₂
given: the formula · wanted: the name

Step 1 · Classify the compound

No leading H. A metal is present: ionic, and copper is a variable-charge metal.

Dr. Karmach

Worked example 1: solution

CuCl₂
given: the formula · wanted: the name
Step 1 · Classify the compound Step 2 · Apply that system's rules
two Cl⁻ → 2(−1) = −2 → Cu is 2+
1(+2) + 2(−1) = 0 ✓ · the numeral reports the charge
Dr. Karmach

Worked example 1: solution

CuCl₂
given: the formula · wanted: the name
Step 1 · Classify the compound Step 2 · Apply that system's rules
two Cl⁻ → 2(−1) = −2 → Cu is 2+
1(+2) + 2(−1) = 0 ✓ · the numeral reports the charge
Step 3 · Read the name back
CuCl₂ → copper(II) chloride
Cu²⁺ with 1− anions rebuilds exactly CuCl₂ ✓
Dr. Karmach

Worked example 1: solution

CuCl₂
given: the formula · wanted: the name
Step 1 · Classify the compound Step 2 · Apply that system's rules
two Cl⁻ → 2(−1) = −2 → Cu is 2+
1(+2) + 2(−1) = 0 ✓ · the numeral reports the charge
Step 3 · Read the name back
CuCl₂ → copper(II) chloride
Cu²⁺ with 1− anions rebuilds exactly CuCl₂ ✓
Classification came first, and every later move (the numeral, the missing prefix) followed from it.
Dr. Karmach

Worked example 1: the route on the map

CuCl₂ → copper(II) chloride
found: ionic · variable-charge metal · one-atom anion

Any ionic chloride follows this path until the metal. Copper has more than one possible charge, so the numeral chip lights: (II) reports Cu²⁺. ✓
Dr. Karmach

Worked example 2: HNO₂(aq)

HNO₂(aq)
given: the formula · wanted: the name

HNO₂ forms in cured meats from the preservative sodium nitrite. Name the dissolved compound.

Dr. Karmach

Worked example 2: solution

HNO₂(aq)
given: the formula · wanted: the name

Step 1 · Classify the compound

H first and dissolved in water: an acid. The metal test and the prefix test never run.

Dr. Karmach

Worked example 2: solution

HNO₂(aq)
given: the formula · wanted: the name
Step 1 · Classify the compound Step 2 · Apply that system's rules
anion: NO₂⁻, nitrite → -ite becomes -ous
oxygen present, so no hydro- · nitrous acid
Dr. Karmach

Worked example 2: solution

HNO₂(aq)
given: the formula · wanted: the name
Step 1 · Classify the compound Step 2 · Apply that system's rules
anion: NO₂⁻, nitrite → -ite becomes -ous
oxygen present, so no hydro- · nitrous acid
Step 3 · Read the name back
HNO₂(aq) → nitrous acid
nitrous → nitrite, NO₂⁻ · 1(+1) + 1(−1) = 0 → one H ✓
Dr. Karmach

Worked example 2: solution

HNO₂(aq)
given: the formula · wanted: the name
Step 1 · Classify the compound Step 2 · Apply that system's rules
anion: NO₂⁻, nitrite → -ite becomes -ous
oxygen present, so no hydro- · nitrous acid
Step 3 · Read the name back
HNO₂(aq) → nitrous acid
nitrous → nitrite, NO₂⁻ · 1(+1) + 1(−1) = 0 → one H ✓
The (aq) decided everything. Dry HNO₂ would be named as hydrogen nitrite, an ionic-style read-back.
Dr. Karmach

Worked example 2: the route on the map

HNO₂(aq) → nitrous acid
found: acid at question 1 · nitrite, one O fewer than nitrate → -ous

The first question said yes, so the ionic and molecular rows never ran. An -ite anion lights the -ous chip. ✓
Dr. Karmach

Your turn: SeF₆

SeF₆
selenium and fluorine · given: the formula · wanted: the name
step question answer
1 · classify the compound H first? metal or NH₄⁺?
2 · apply that system's rules 1 Se · 6 F: which prefixes? selenium fluoride
3 · read the name back does the name rebuild SeF₆?

Run the three questions in order, then name it.

Dr. Karmach

Your turn: SeF₆

SeF₆
selenium and fluorine · given: the formula · wanted: the name
step question answer
1 · classify the compound H first? metal or NH₄⁺?
2 · apply that system's rules 1 Se · 6 F: which prefixes? selenium fluoride
3 · read the name back does the name rebuild SeF₆?

Run the three questions in order, then name it.

SeF₆ → selenium hexafluoride
no H, no metal → molecular · mono- dropped on the first element · hexa- → 6 F · reads back to SeF₆ ✓
Dr. Karmach

Where this goes wrong

A Roman numeral on a molecular compound. NO₂ is not nitrogen(IV) oxide. A numeral reports an ion's charge, and two nonmetals share electrons instead of forming ions: nitrogen dioxide.
Counting prefixes on an ionic compound. K₂SO₄ is potassium sulfate, never dipotassium sulfate. A metal is present, so charge balance fixes the counts unspoken.
The gas name for an acid. HBr(aq) is hydrobromic acid. Hydrogen bromide names the pure gas HBr(g); the (aq) switches the compound to the acid system.
An acid name with no hydrogen. SO₂ is not sulfurous acid: sulfurous acid is H₂SO₃(aq). With no leading H and no (aq), SO₂ is the molecular compound sulfur dioxide.
Dr. Karmach

Practice 1

ICl₃
iodine and chlorine · wanted: the name

Iodine and chlorine combine directly into ICl₃, an orange solid. Name the compound.

  1. iodine(III) chloride
  2. iodine trichloride
  3. iodine chloride
  4. triiodine monochloride
Dr. Karmach

Practice 1 · answer: B

ICl₃ → iodine trichloride (answer B)
no H, no metal → molecular · tri- → 3 Cl

A borrows the ionic system's numeral, but a numeral reports an ion's charge and ICl₃ holds no ions. C is the fixed-charge ionic style, and without a prefix the name cannot separate ICl₃ from ICl. D swaps the prefix onto iodine: triiodine monochloride rebuilds I₃Cl.

Two nonmetals: the third question said molecular, so prefixes carry the whole formula.
Dr. Karmach

Practice 2

Sr₃(PO₄)₂
strontium, a Group 2 metal · PO₄³⁻ on the memorized list · wanted: the name

Sr₃(PO₄)₂ is a ceramic used as a bone substitute. Name the compound.

  1. strontium(II) phosphate
  2. tristrontium diphosphate
  3. strontium phosphide
  4. strontium phosphate
Dr. Karmach

Practice 2 · answer: D

Sr₃(PO₄)₂ → strontium phosphate (answer D)
3(+2) + 2(−3) = 0 ✓ · atoms: 3 Sr · 2 P · 2 × 4 = 8 O

A writes a numeral for a metal with one possible charge; Group 2 is always 2+, so no numeral appears. B counts atoms with molecular prefixes, but the metal makes this ionic. C names the monatomic anion P³⁻; this compound holds the polyatomic group phosphate, PO₄³⁻.

A metal plus a memorized polyatomic: plain ionic name, and balance rebuilds every subscript.
Dr. Karmach

Practice 3

H₂CO₃(aq)
H first · dissolved in water · wanted: the name

Dissolved carbon dioxide forms H₂CO₃ in every carbonated drink. Name the compound.

  1. carbonic acid
  2. hydrogen carbonate
  3. hydrocarbonic acid
  4. dihydrogen carbonate
Dr. Karmach

Practice 3 · answer: A

H₂CO₃(aq) → carbonic acid (answer A)
anion: carbonate CO₃²⁻ → -ate becomes -ic · 2(+1) + 1(−2) = 0 ✓

B is the ionic-style read-back, and hydrogen carbonate already names a different species, the ion HCO₃⁻. C adds hydro-, which claims a no-oxygen anion; carbonate holds three. D counts atoms with a prefix, and prefixes never appear in acid names.

H first plus (aq): the first question already picked the acid system.
Dr. Karmach

Practice 4

Pb⁴⁺ · sulfate
one salt of these two ions · wanted: its formula and name

Pb⁴⁺ ions pair with sulfate ions in one salt. Which formula and name are both correct?

  1. Pb₂(SO₄)₄, lead(IV) sulfate
  2. Pb(SO₄)₂, lead(II) sulfate
  3. Pb(SO₄)₂, lead(IV) sulfate
  4. Pb(SO₄)₂, lead disulfate
  5. Pb(SO₃)₂, lead(IV) sulfite
Dr. Karmach

Practice 4 · answer: C

Pb⁴⁺ with SO₄²⁻: criss-cross Pb₂(SO₄)₄ → reduce → Pb(SO₄)₂, lead(IV) sulfate (answer C)
metal present → ionic · 1(+4) + 2(−2) = 0 ✓ · lead is variable-charge: numeral IV

A stopped at the raw criss-cross: 2(+4) + 4(−2) = 0 balances, but 2 : 4 reduces to 1 : 2. B read the subscript 2 as lead's charge: 1(+2) + 2(−2) = −2. D borrows molecular prefixes for a compound with a metal. E swaps in sulfite, SO₃²⁻, one oxygen fewer than sulfate.

Classify first: a metal with a polyatomic anion is ionic, so the numeral stays and the prefixes go.
Dr. Karmach

Check yourself

  1. Classify each compound, then name it: CaBr₂ and H₂S(aq).
  2. N₂O₄ is offered two names: dinitrogen tetroxide and nitrogen(IV) oxide. Which system applies, and what rules out the other?

Every formula these names rebuild feeds the next skill: chemical equations balance atom counts, and the counts come straight from correct formulas.

Dr. Karmach

Can you…?

  • ☐ locate protons, neutrons, and electrons in the atom and state what each count determines?
  • ☐ read and write isotope symbols, converting between mass number, atomic number, and particle counts?
  • ☐ calculate the average atomic mass of an element from isotope masses and abundances?
  • ☐ give an element's period, group, family, and metal/nonmetal/metalloid class?
  • ☐ predict the charge an atom takes when it forms an ion, and count the particles in that ion?
  • ☐ name ionic and molecular compounds and acids, and write formulas from names?
  • ☐ recognize the common polyatomic ions and build formulas that contain them?
  • ☐ name a straight-chain alkane from its carbon count, build its CₙH₂ₙ₊₂ formula, and recognize the common functional-group families?
  • ☐ choose the right naming system for any formula (fixed or variable ionic, molecular, acid), rejecting the other systems’ names?

If any box stays empty, the practice site has a drill for it. 🧪

Dr. Karmach

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