Module 5 of 9Lesson 1 of 31 · C21 Formulae of compounds from ion charges
BGCSE Science Double Award · Chemistry · Form 5 · Section 8 Stoichiometry
Lesson C21 · about 10 minutes

Formulae of compounds from ion charges

Pour vinegar on a spoon of baking soda and it fizzes. The liquid left behind contains sodium ethanoate. Its formula is CH₃COONa: one sodium ion, Na⁺, for every ethanoate ion, CH₃COO⁻, so the charges cancel. Every ionic formula you write follows that one rule.

Prof KitsoIn 2023 Paper 3 only a few candidates wrote CH₃COONa correctly. Formulae carry marks in almost every chemistry question — and in every mole calculation that follows. Learn the ions once and the marks keep coming.
vinegarCH₃COOH + bakingsodaNaHCO₃ Na⁺+CH₃COO⁻ CH₃COONasodium ethanoate fizz! the ions pair up so the charges cancel
Papers 1 and 3Sodium ethanoate: 2023 Paper 3🔬 Formula builder

Learn5 cards

Symbols for elements

Every element has a of one or two letters. The first letter is a capital; the second is small. Co is cobalt, but CO is carbon monoxide, a compound.

Seven elements exist as : H₂, N₂, O₂, F₂, Cl₂, Br₂, I₂. Chlorine gas is Cl₂, not Cl.

Cocobalt1 element COcarbon monoxideC + O: 2 elements two-atom molecules: H₂N₂O₂F₂Cl₂Br₂I₂ chlorine gas is Cl₂, not Cl
One capital letter starts each new element.

Ions and their charges

An is an atom that has lost or gained electrons. Metals lose electrons and form positive ions; non-metals gain electrons and form negative ions.

The group gives the charge: I → +1, II → +2, III → +3, V → −3, VI → −2, VII → −1. For transition metals the Roman numeral gives it: iron(III) is Fe³⁺.

I +1 Na⁺II +2 Mg²⁺III +3 Al³⁺V −3 N³⁻VI −2 O²⁻VII −1 Cl⁻ groupmetals +, non-metals − transition metals: read the Roman numeral iron(II)Fe²⁺ iron(III)Fe³⁺ copper(II)Cu²⁺
Group number → charge. Roman numeral → charge.

Ions made of several atoms

Some ions are a group of atoms that carries one charge: .

Learn them as whole units: OH⁻ hydroxide, NO₃⁻ nitrate, HCO₃⁻ hydrogencarbonate, CH₃COO⁻ ethanoate, NH₄⁺ ammonium, CO₃²⁻ carbonate, SO₄²⁻ sulphate, PO₄³⁻ phosphate.

Never change the small numbers inside them.

charge −1 OH⁻NO₃⁻HCO₃⁻CH₃COO⁻ charge +1NH₄⁺ charge −2CO₃²⁻SO₄²⁻ charge −3PO₄³⁻ each tile is ONE ion — keep it whole
Learn the formula and the charge together.

Make the charges cancel

A compound has no overall charge. In its , take enough of each ion so that the charges add up to zero.

Al³⁺ and O²⁻: 2 × (+3) = +6 and 3 × (−2) = −6, so the formula is Al₂O₃.

Two or more of a polyatomic ion go in : Ca(OH)₂, (NH₄)₂SO₄.

Al³⁺Al³⁺ 2 × (+3) = +6 O²⁻O²⁻O²⁻ 3 × (−2) = −6 +6 and −6 → total charge 0 Al₂O₃ charges are not written in the formula
Count the charges, not the atoms.

Formulae from models and diagrams

In a model of a molecule, count each kind of atom: one nitrogen joined to three hydrogens is NH₃.

In an ionic diagram, find the simplest ratio of the ions: one Mg²⁺ for every two Cl⁻ gives MgCl₂.

NHHH 1 N, 3 HNH₃ Cl⁻ Mg²⁺ Cl⁻Cl⁻ Mg²⁺ Cl⁻Cl⁻ Mg²⁺ Cl⁻ 1 Mg²⁺ : 2 Cl⁻MgCl₂
Molecule: count atoms. Lattice: find the ratio.

See it live

Pick a positive ion and a negative ion. Add more of either until the charge total reads zero, then read off the formula — watch where the brackets appear for (NH₄)₂SO₄, Ca(OH)₂ and Al₂(SO₄)₃. Then try the name ↔ formula drill: only your first try counts, so check the charges before you tap.

Formula builder: make the charges cancelTap ions to build neutral formulae, with brackets for polyatomic ions; then a name ↔ formula drill with a first-try score

Worked example3 examples

Example 1Grade C
Write the formula of:
(i) magnesium chloride
(ii) sodium oxide
(iii) aluminium oxide
(i) ionsMg²⁺ and Cl⁻
(i) balanceone Mg²⁺ (+2) needs two Cl⁻ (−2)
(i) answerMgCl₂
(ii) ionsNa⁺ and O²⁻
(ii) balancetwo Na⁺ (+2) for one O²⁻ (−2)
(ii) answerNa₂O
(iii) ionsAl³⁺ and O²⁻
(iii) balancetwo Al³⁺ (+6) and three O²⁻ (−6)
(iii) answerAl₂O₃
Check itMultiply each charge by the number of that ion. The positive total must equal the negative total. For Na₂O: 2 × (+1) = +2 and 1 × (−2) = −2.
Example 2Grade B
Write the formula of:
(i) calcium hydroxide
(ii) ammonium sulphate
(iii) iron(III) nitrate
(i) ionsCa²⁺ and OH⁻
(i) balanceone Ca²⁺ (+2) needs two OH⁻ (−2)
(i) answerCa(OH)₂
(ii) ionsNH₄⁺ and SO₄²⁻
(ii) balancetwo NH₄⁺ (+2) for one SO₄²⁻ (−2)
(ii) answer(NH₄)₂SO₄
(iii) ionsFe³⁺ (the III) and NO₃⁻
(iii) balanceone Fe³⁺ (+3) needs three NO₃⁻ (−3)
(iii) answerFe(NO₃)₃
Why brackets?CaOH₂ would mean one O and two H. The brackets show two whole OH⁻ ions: Ca(OH)₂ has 1 Ca, 2 O and 2 H. No brackets for one polyatomic ion: NaOH, CaSO₄.
Example 3Grade A
Three harder formulae.
SOOOO HH
Model for part (a).

(a) The diagram shows a model of one molecule of an acid. Write its formula.

count2 hydrogen atoms, 1 sulphur atom, 4 oxygen atoms
answerH₂SO₄ (sulphuric acid)

(b) Element X forms a nitride with the formula XN. Nitrogen forms the N³⁻ ion. Write the formula of the hydroxide of X.

nitridein XN one X balances one N³⁻, so the ion of X is X³⁺
hydroxideX³⁺ (+3) needs three OH⁻ (−3)
answerX(OH)₃

(c) Ethanoic acid is CH₃COOH. Its salts contain the ethanoate ion, CH₃COO⁻. Write the formulae of sodium ethanoate and calcium ethanoate.

ionCH₃COO⁻ has a charge of −1
sodiumNa⁺ (+1) and CH₃COO⁻ (−1): one of each
answerCH₃COONa
calciumCa²⁺ (+2) needs two CH₃COO⁻ (−2)
answer(CH₃COO)₂Ca, also written Ca(CH₃COO)₂
Name or formula?Read the command: “write the formula” wants symbols; “name” wants words. Copy every symbol from the Periodic Table, with the second letter small.

Misconception busterfrom the BEC examiner reports

Sodium ethanoate written as C₂H₅COONa, (CH₃COO)₂Na or NaCH₂COOH.
The ethanoate ion is CH₃COO⁻ (−1) and sodium is Na⁺ (+1): one of each, so CH₃COONa.

Examiner report: 2023 Paper 3, Q9(d)(i)

X forms the nitride XN, so its hydroxide must be XOH.
XN means one X balances one N³⁻, so the ion is X³⁺ and the hydroxide is X(OH)₃. Work out the charge first.

Examiner report: Chemistry (0570) 2023 Paper 1, Q2

“CL” for chlorine, and NaCl₂ for sodium chloride.
Copy symbols from the Periodic Table: Cl, with a small l. Na⁺ and Cl⁻ cancel one to one, so NaCl. Chlorine gas is Cl₂.

Examiner report: General Science (1430) 2025 Paper 1, Q8(c)

The ions in salt solution written as Cl₂⁻ and H₂⁻.
An ion is one charged atom (or one charged group): Cl⁻ and H⁺. Cl₂ and H₂ are uncharged molecules of the gases.

Examiner report: Chemistry (0570) 2023 Paper 3, Q6(a)(i)

Ammonium sulphate written NH₄₂SO₄, or Ca²⁺(OH⁻)₂ with the charges left in.
Brackets round the whole ion: (NH₄)₂SO₄. Charges help you find the formula, but they are not written in it: Ca(OH)₂.

Common error (teacher experience)

Prof KitsoThree questions for every formula: What are the two ions? What are their charges? How many of each make zero? Then check the brackets.

Quick check5 questions · Paper 1 style

1What is the formula of potassium sulphate?

  1. ✗ Not this one. One K⁺ (+1) cannot balance SO₄²⁻ (−2): the total charge would be −1.
  2. ✓ Right. Two K⁺ give +2 and one SO₄²⁻ gives −2: total zero.
  3. ✗ Not this one. One K⁺ (+1) with two SO₄²⁻ (−4) leaves a charge of −3.
  4. ✗ Not this one. Two K⁺ (+2) with two SO₄²⁻ (−4) leaves −2; the ratio is 2 : 1, not 2 : 2.

2What is the formula of calcium nitrate?

  1. ✗ Not this one. Ca²⁺ (+2) with one NO₃⁻ (−1) leaves +1.
  2. ✗ Not this one. Two Ca²⁺ (+4) with one NO₃⁻ (−1) is far from zero.
  3. ✗ Not this one. Without brackets “NO₃₂” would mean 32 oxygen atoms; it is meaningless.
  4. ✓ Right. Ca²⁺ needs two NO₃⁻, and the two nitrate ions go in brackets.

3How many atoms are in one formula unit of ammonium sulphate, (NH₄)₂SO₄?

  1. ✓ Right. 2 N + 8 H + 1 S + 4 O = 15 atoms.
  2. ✗ Not this one. This ignores the 2 outside the bracket.
  3. ✗ Not this one. This forgets the sulphur atom.
  4. ✗ Not this one. This doubles only the N; the 2 multiplies everything inside the bracket, so there are 8 H.

4What is the formula of iron(III) oxide?

  1. ✗ Not this one. FeO is iron(II) oxide: Fe²⁺ with O²⁻.
  2. ✗ Not this one. 3 × (+3) = +9 and 2 × (−2) = −4: the charges do not cancel.
  3. ✓ Right. 2 × (+3) = +6 and 3 × (−2) = −6: total zero.
  4. ✗ Not this one. +3 and 3 × (−2) = −6 leave −3.

5Element Q is in Group II. What is the formula of its chloride?

  1. ✗ Not this one. This treats Q as +1, a Group I metal.
  2. ✓ Right. Group II → Q²⁺, which needs two Cl⁻.
  3. ✗ Not this one. Two Q²⁺ (+4) with one Cl⁻ (−1) leaves +3.
  4. ✗ Not this one. Two Q²⁺ (+4) with two Cl⁻ (−2) leaves +2; the ratio must be 1 : 2.

Exam cornerPaper 3 style · 9 marks

Table 8.1 shows some ions.

positive ionsnegative ions
Na⁺   Ca²⁺Cl⁻   OH⁻
Al³⁺   NH₄⁺SO₄²⁻   NO₃⁻

(a)
Use Table 8.1 to write the formula of aluminium chloride. [1]
(b)
Write the formula of calcium hydroxide. [1]
(c)
Write the formula of ammonium sulphate. [1]
(d)
Write the formula of aluminium sulphate. [2]
(e)
A compound of iron has the formula Fe₂O₃. State the charge on the iron ion and name the compound. [2]
(f)
Fig. 8.1 shows a model of a molecule of ethanoic acid. Write its molecular formula. [1]
CC HHH OOH
(g)
The ethanoate ion is CH₃COO⁻. Write the formula of calcium ethanoate. [1]
Model answer

(a)

AlCl₃

(b)

Ca(OH)₂

(c)

(NH₄)₂SO₄

(d)

chargesAl³⁺ (+3) and SO₄²⁻ (−2)
balance2 × (+3) = +6 and 3 × (−2) = −6
answerAl₂(SO₄)₃

(e)

Charge: +3 (Fe³⁺), because 3 × (−2) = −6 is shared by two iron ions.
Name: iron(III) oxide.

(f)

C₂H₄O₂ (2 C, 4 H, 2 O), also written CH₃COOH.

(g)

(CH₃COO)₂Ca
Marking key — how the examiner awards the marks
Mark pointMark
(a)AlCl₃B1
(b)Ca(OH)₂ (brackets needed)B1
(c)(NH₄)₂SO₄B1
(d)ratio 2 Al : 3 SO₄B1
brackets correct: Al₂(SO₄)₃B1
(e)+3 / Fe³⁺B1
iron(III) oxideB1
(f)C₂H₄O₂ (accept CH₃COOH)B1
(g)(CH₃COO)₂Ca or Ca(CH₃COO)₂B1

Total: 9 marks

Examiner tip. Copy each symbol exactly from the Periodic Table — a capital first letter and a small second letter. One wrong letter (Co for CO, CL for Cl) or a missing bracket loses the mark, even when the ratio is right.

Rememberone-page card to download

  • Symbols: capital first letter, small second letter (Co cobalt, CO carbon monoxide).
  • H₂, N₂, O₂, F₂, Cl₂, Br₂, I₂ are two-atom molecules.
  • Group I +1, II +2, III +3, V −3, VI −2, VII −1. Roman numeral = charge of a transition-metal ion.
  • A compound has no overall charge: take enough of each ion to make the charges cancel. Charges are not written in the formula.
  • Two or more polyatomic ions go in brackets: Ca(OH)₂, (NH₄)₂SO₄, Al₂(SO₄)₃.
  • Model: count the atoms. Lattice: simplest ratio of the ions.

Ions to learn

positivenegative
Na⁺, K⁺, Ag⁺, NH₄⁺Cl⁻, Br⁻, I⁻, OH⁻, NO₃⁻, HCO₃⁻, CH₃COO⁻
Mg²⁺, Ca²⁺, Cu²⁺, Zn²⁺, Fe²⁺O²⁻, S²⁻, CO₃²⁻, SO₄²⁻
Al³⁺, Fe³⁺N³⁻, PO₄³⁻
Download this card (PDF)

Science that earnsa skill you can sell

Ion-tile formula kits for tutors and classes

Many learners struggle with formulae because they cannot see why Al₂(SO₄)₃ needs those numbers. Card tiles cut to size by charge — a +1 tile is one block long, a −2 tile two blocks — make it visible: the formula is right when the two rows are the same length.

Design the tiles on a phone or computer, print them at a copy shop, laminate and cut them, and sell kits to tutors, study groups and school science departments.

Example costs
Printing 10 A4 sheets in colourP40
Laminating 10 sheetsP50
10 zip bags and labelsP20
Costs for 10 kitsP110
10 kits sold at P35P350
ProfitP240

Check every tile against the Periodic Table and the ion table before printing — one wrong charge teaches a wrong formula to every learner who uses the kit. Use your own design; do not copy pictures from textbooks or websites without permission.

Example figures only — check printing prices at your local copy shop before you quote.

Syllabus checklist Tap when you can do it

← C20 Qualitative analysis II: tests for anions and gasesNext: C22 Balanced chemical and ionic equations with state symbols →

Stadira Training Institute · Gaborone, Botswana · BGCSE Science Double Award (0569) Complete Tutor