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Chemical Formulae & Equations

Writing FormulaeBalancing EquationsState SymbolsIonic Equations
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Four step process showing how to balance CH4 plus O2 to give CO2 and H2O Balancing Equations: Combustion of Methane Step 1 — Unbalanced CH4 + O2 -> CO2 + H2O H: 4 vs 2 — not balanced Step 2 — Count atoms (left and right) C: 1 | H: 4 vs 2 | O: 2 vs 3 — need to add coefficients Step 3 — Balance H first, then O CH4 + 2O2 -> CO2 + 2H2O Step 4 — Verify all atoms balance C: 1=1 | H: 4=4 | O: 4=4 — balanced (law of conservation of mass)
Balancing Chemical Equations — step-by-step combustion of methane

Contents

  1. Writing chemical formulae
  2. Balancing equations
  3. State symbols
  4. Ionic equations
  5. Common exam traps
Topic 2 of 11
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1. Writing Chemical Formulae

A chemical formula shows the type and number of each atom in a compound. For ionic compounds, combine the ions so that the overall charge is zero.

Method: criss-cross the charges

Calcium chloride: Ca²⁺ and Cl⁻. Criss-cross: 2 chloride ions needed to balance 2+ charge. Formula = CaCl₂.

Aluminium oxide: Al³⁺ and O²⁻. Criss-cross: 2 Al³⁺ and 3 O²⁻ (total charge: 6+ and 6−). Formula = Al₂O₃.

Naming compounds

Compound typeNaming ruleExample
Metal + non-metalMetal name + non-metal ending in -ideSodium chloride, Iron(II) sulfide
Metal + oxygenMetal name + oxideCopper(II) oxide, Iron(III) oxide
Acid + metal oxide/carbonateMetal name + acid anion (-ate or -ide)Copper sulfate, Calcium carbonate

2. Balancing Equations

Atoms are neither created nor destroyed in a reaction. The number of each type of atom must be the same on both sides. Only change coefficients (the numbers in front of formulae) — never change subscripts within a formula.

Worked example — balancing step by step

Balance: Fe + O₂ → Fe₂O₃

Count: Left: 1 Fe, 2 O. Right: 2 Fe, 3 O. Neither balanced.

Balance Fe: 4Fe + O₂ → 2Fe₂O₃ (now 4 Fe each side, but O: left 2, right 6)

Balance O: 4Fe + 3O₂ → 2Fe₂O₃

Check: Left 4 Fe, 6 O. Right 4 Fe, 6 O. ✓ Balanced.

Key equations to know

ReactionWord equationNotes
Acid + metalacid + metal → salt + hydrogenH₂ gas produced
Acid + carbonateacid + carbonate → salt + water + CO₂CO₂ causes effervescence
Acid + base/alkaliacid + alkali → salt + waterNeutralisation
Acid + metal oxideacid + metal oxide → salt + waterNo gas produced
Combustion (complete)fuel + oxygen → CO₂ + H₂OFull oxidation
Combustion (incomplete)fuel + oxygen → CO + H₂O (or C + H₂O)Insufficient O₂

3. State Symbols

SymbolMeaning
(s)Solid
(l)Liquid (pure liquid, e.g. water)
(g)Gas
(aq)Aqueous — dissolved in water
When to use (aq)

Use (aq) when a substance is dissolved in water, e.g. HCl(aq), NaOH(aq), NaCl(aq). Pure water is H₂O(l). Do not write H₂O(aq) — water is not dissolved in itself.

4. Ionic Equations

An ionic equation shows only the ions that actually change (react) — the spectator ions (which remain unchanged in solution) are cancelled out.

Writing an ionic equation

Full equation: HCl(aq) + NaOH(aq) → NaCl(aq) + H₂O(l)

Full ionic: H⁺(aq) + Cl⁻(aq) + Na⁺(aq) + OH⁻(aq) → Na⁺(aq) + Cl⁻(aq) + H₂O(l)

Cancel spectators (Na⁺ and Cl⁻ appear on both sides):

H⁺(aq) + OH⁻(aq) → H₂O(l) — this is the ionic equation for any acid-alkali neutralisation.

Common ionic equations

ReactionIonic equation
Any acid + any alkali (neutralisation)H⁺(aq) + OH⁻(aq) → H₂O(l)
Precipitation of silver chlorideAg⁺(aq) + Cl⁻(aq) → AgCl(s)
Precipitation of barium sulfateBa²⁺(aq) + SO₄²⁻(aq) → BaSO₄(s)
Carbonate + acidCO₃²⁻(aq) + 2H⁺(aq) → CO₂(g) + H₂O(l)
Must-Know for Exam

5. Common Exam Traps

Trap 1 — Never change subscripts when balancing

You cannot write H₃O to make water balance — H₂O is water and H₃O is a different compound. Only change the coefficient in front of the formula.

Trap 2 — Salts are (aq), not (s), in solution

When NaCl dissolves in water it is NaCl(aq) — not NaCl(s). Solid ionic compounds that are insoluble in water use (s) as their state symbol in ionic equations (e.g. AgCl(s), BaSO₄(s)).

Trap 3 — Acids and alkalis are NOT fully split in word equations

In the full equation, HCl(aq) and NaOH(aq) are written as molecules. Only in the ionic equation do you split them into ions: H⁺ + Cl⁻ and Na⁺ + OH⁻.

Key Terms — Flashcard Review

Tap each card to reveal the definition.

Chemical formula
Shows types and numbers of atoms in a compound. e.g. H2SO4 = 2H, 1S, 4O atoms.
Balancing equations
Atoms must be conserved. Adjust coefficients (not subscripts) until each element balances on both sides.
State symbols
(s) solid, (l) liquid, (g) gas, (aq) aqueous. Written in brackets after each formula.
Ionic equation
Shows only the ions that actually react. Spectator ions removed. e.g. H+ + OH- -> H2O.
Relative formula mass
Mr = sum of all Ar values in formula. e.g. H2O: (2x1) + 16 = 18. Used in mole calculations.
Valency / ionic charges
Na+ (1+), Mg2+ (2+), Al3+ (3+), Cl- (1-), O2- (2-), SO42- (2-), NO3- (1-), CO32- (2-).

🎯 Practice Quiz — Test Yourself

8 O Level-style questions on this topic. Select an answer to see instant feedback.

Question 1 of 8
Formula of aluminium oxide:
Explanation: Al valency 3, O valency 2. Cross-multiply: Al₂O₃. Check: 2(+3) + 3(−2) = 0 ✓
Question 2 of 8
In 2H₂ + O₂ → 2H₂O, which is correct?
Explanation: Coefficients represent moles (or molecules): 2 mol H₂ + 1 mol O₂ → 2 mol H₂O.
Question 3 of 8
Balanced equation for Mg burning in O₂:
Explanation: O₂ is diatomic. Balance: 2Mg + O₂ → 2MgO. Mg(2=2), O(2=2) ✓
Question 4 of 8
State symbol (l) means:
Explanation: (s)=solid, (l)=liquid, (g)=gas, (aq)=aqueous (dissolved in water).
Question 5 of 8
Which equation is correctly balanced?
Explanation: H₂ + Cl₂ → 2HCl: H(2=2), Cl(2=2) ✓. Chlorine is diatomic (Cl₂).
Question 6 of 8
Which equation is correctly balanced?
Explanation: 2H2 + O2 -> 2H2O. Left side: 4H, 2O. Right side: 4H, 2O. Balanced. Option A: 2H+2O left vs 2H+1O right - not balanced. Check every element on both sides.
Question 7 of 8
The ionic equation for neutralisation of a strong acid with a strong alkali is:
Explanation: In strong acid + strong alkali neutralisation, Na+ and Cl- are spectator ions (unchanged). The net ionic equation shows only: H+ + OH- -> H2O. This is the same ionic equation for ALL strong acid + strong alkali neutralisations.
Question 8 of 8
What is the Mr of H2SO4? (H=1, S=32, O=16)
Explanation: Mr of H2SO4 = (2x1) + 32 + (4x16) = 2 + 32 + 64 = 98. Count atoms carefully: 2 H, 1 S, 4 O. A very common error is forgetting to multiply O by 4.
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Original study notes for Singapore students. Not affiliated with MOE, SEAB or Cambridge.