1. Simple half-equations
A half-equation shows either oxidation or reduction. Electrons are on the right for oxidation and on the left for reduction. Each electron has charge −1. Balance both atoms and total electrical charge; the charge total need not be zero.
| Change | Half-equation | Charge check |
|---|---|---|
| Magnesium oxidised | Mg → Mg²⁺ + 2e⁻ | 0 = +2 − 2 |
| Iron(III) reduced | Fe³⁺ + e⁻ → Fe²⁺ | +3 − 1 = +2 |
| Bromide oxidised | 2Br⁻ → Br₂ + 2e⁻ | −2 = 0 − 2 |
| Chlorine reduced | Cl₂ + 2e⁻ → 2Cl⁻ | 0 − 2 = −2 |
Remember diatomic elements such as Br₂, I₂ and Cl₂. Balance by changing coefficients, never by changing the correct chemical formula or the charge of a named ion.
2. Balancing in acid
- Write the reactant and product species specified.
- Balance atoms other than oxygen and hydrogen.
- Balance oxygen by adding H₂O.
- Balance hydrogen by adding H⁺.
- Balance total charge by adding electrons to the more positive side.
- Check every atom, charge and the electron count from oxidation-number changes.
3. Worked complex half-equations
4. Why the specified product matters
| Reduction in acid | Sulfur oxidation-number change | Electrons gained |
|---|---|---|
| SO₄²⁻ + 4H⁺ + 2e⁻ → SO₂ + 2H₂O | +6 → +4 | 2 |
| SO₄²⁻ + 10H⁺ + 8e⁻ → H₂S + 4H₂O | +6 → −2 | 8 |
If the question writes H₂SO₄ as the starting species instead of SO₄²⁻, the hydrogen balance changes:
These are alternative ways of representing the specified acidic reduction. Do not take the H⁺ coefficient from one version and combine it with the starting formula from the other. Do not substitute SO₂ when the question explicitly asks for sulfur or H₂S.
5. Alkaline conditions: an extension of the method
The species formed can depend on the reaction medium. In alkaline conditions, use the stated product and finish with no H⁺ in the equation. One method is to balance in acid first, then add enough OH⁻ to both sides to neutralise every H⁺, form water and cancel water appearing on both sides.
Quick checks
Original Finesse questions; indicative worked solutions, not official AQA mark allocations.
Q1. Write the oxidation half-equation for aluminium forming Al³⁺.Show answer
One Al atom each side; charge 0 = +3 − 3. Electrons are products because oxidation is electron loss.
Q2. Balance IO₃⁻ → I₂ in acidic solution.Show answer
Use 2IO₃⁻ for two iodine atoms; add 6H₂O on the right and 12H⁺ on the left. Left charge is initially +10, so add ten electrons.
Final charge is zero on both sides; iodine +5 → 0 confirms ten electrons for two atoms.
Q3. Balance H₂O₂ → O₂ in acidic solution and classify the change.Show answer
Oxygen changes −1 → 0: oxidation. Two oxygen atoms lose two electrons in total. Charge is zero on both sides.
Q4. Why does Cr₂O₇²⁻ reduction to Cr³⁺ use six electrons rather than three?Show answer
Each Cr goes from +6 to +3, gaining three electrons. There are two chromium atoms in each dichromate ion, so six electrons are gained overall.
Q5. Correct MnO₄⁻ + 8H⁺ → Mn²⁺ + 4H₂O + 5e⁻.Show answer
Atoms balance, but electrons are on the wrong side. Left charge is +7 while the shown right charge is −3.
Now both charges are +2; electron gain agrees with reduction.
Sources
Sources and examiner guidance (reviewed 1 October 2026)
- Chemrevise — AQA 1.7 Redox revision guide (N. Goalby) — Half-equation balancing and sulfur reductions.
- AQA 7405 specification — 3.1.7 Oxidation, reduction and redox equations — 3.1.7: writing half-equations using oxidation states.
- AQA 7404/1 mark scheme, June 2022 — Q06.2: acidic iodate half-equation.
- AQA 7404/1 examiner report, June 2022 — Q06.2–Q06.3: atom/charge balance and requested product.
- AQA 7404/1 mark scheme, 2021 (November archive; June header) — Q03.2: sulfite and dichromate.
- AQA 7404/1 mark scheme, June 2023 — Q06.3: sulfuric-acid reduction to H₂S.
Finesse Tuition is not endorsed by AQA or Chemrevise. All explanations and examples here are our own.
