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Oxidation states, half-equations and redox

A-level Chemistry Updated Wed 7 Oct 2026

Oxidation states are a bookkeeping system for electrons. They show what has been oxidised and reduced in any reaction, and they guide you in balancing the half-equations that combine to make a full redox equation.

Part 1 of 3: Learn it

In short

  1. Oxidation is loss of electrons, or an increase in oxidation state; reduction is the reverse.
  2. The oxidation states in a compound add to zero; in an ion, to its charge.
  3. To combine half-equations, multiply so the electrons match, add, and cancel.

Where this is in your specification

Spec points: AQA 7405 3.1.7, OCR A H432 2.1.5, Edexcel 9CH0 Topic 3

BoardTopic: Redox and electrode potentials
AQA 74053.1.7 and 3.1.11
Edexcel 9CH0Topics 3 and 14
OCR H4322.1.5 and 5.2.3
Higher C813 761(c) Oxidising and reducing agents

Rules for oxidation states

  • An uncombined element is 0, such as Fe or O₂.
  • In a simple ion it equals the charge: Na⁺ is +1, Cl⁻ is −1.
  • Group 1 metals are +1 and group 2 metals +2 in their compounds.
  • Oxygen is usually −2 (but −1 in peroxides and +2 in OF₂).
  • Hydrogen is usually +1 (but −1 in metal hydrides such as NaH).
  • Fluorine is always −1 in compounds.

Roman numerals in names give an oxidation state: iron(III) is Fe at +3.

Agents

An oxidising agent takes electrons from something else, so it is itself reduced. A reducing agent gives electrons away, so it is itself oxidised.

Half-equations in acid

  • Balance the atom that changes oxidation state.
  • Balance oxygen by adding H₂O.
  • Balance hydrogen by adding H⁺.
  • Balance charge by adding electrons to the more positive side.

For manganate(VII) to manganese(II): MnO₄⁻ + 8H⁺ + 5e⁻ → Mn²⁺ + 4H₂O. Check: Mn goes from +7 to +2, which matches 5 electrons gained.

Quick check

What is the oxidation state of nitrogen in NH₄⁺?

Show the answer

−3 (N + 4 = +1).

Part 2 of 3: See it worked

Worked examples

Example 1

Find the oxidation state of chromium in Cr₂O₇²⁻.

  1. Oxygen: 7 × (−2) = −14
  2. 2Cr − 14 = −2 (the charge on the ion)
  3. 2Cr = +12

Answer: +6.

Example 2

Combine MnO₄⁻ + 8H⁺ + 5e⁻ → Mn²⁺ + 4H₂O with Fe²⁺ → Fe³⁺ + e⁻ into a full equation.

  1. Multiply the iron half-equation by 5 so both have 5 electrons
  2. Add them: MnO₄⁻ + 8H⁺ + 5Fe²⁺ + 5e⁻ → Mn²⁺ + 4H₂O + 5Fe³⁺ + 5e⁻
  3. Cancel the electrons

Answer: MnO₄⁻ + 8H⁺ + 5Fe²⁺ → Mn²⁺ + 4H₂O + 5Fe³⁺.

Common mistakes

  • Forgetting that the oxidation states in an ion add up to the charge, not zero.
  • Saying the oxidising agent is oxidised.
  • Putting electrons on the wrong side of a half-equation.
  • Leaving electrons in the final redox equation.
Quick check

What is the oxidation state of sulfur in H₂SO₄?

Show the answer

+6 (2 + S − 8 = 0).

Part 3 of 3: Test yourself

Check yourself

Answer each one in your head or on paper first, then open it to check.

What is the oxidation state of nitrogen in NH₄⁺?

−3 (N + 4 = +1).

What is the oxidation state of sulfur in H₂SO₄?

+6 (2 + S − 8 = 0).

In Zn + Cu²⁺ → Zn²⁺ + Cu, which species is the oxidising agent?

Cu²⁺, because it gains electrons and is reduced.

Jobs that use this

Each link opens the job profile on the National Careers Service (England). In the rest of the UK: My World of Work (Scotland), Careers Wales, nidirect careers (Northern Ireland).

Full lessons and marked practice for this course are coming soon to Brainlag Learn. See courses