Whiteboard Chemistry with Joe White

Oxidation, reduction & redox

Oxidation and reduction as electron transfer, oxidising and reducing agents, the rules for oxidation states, and how to build and combine half-equations into full redox equations.

AQA 7404/7405 Paper 1
e⁻ reducing agent oxidising agent
Building on GCSE

At GCSE (Higher tier) you met OIL RIGoxidation is loss, reduction is gain, of electrons — in displacement and electrolysis. A-Level keeps that definition and adds three tools: oxidation states to track electrons through any formula, the language of oxidising and reducing agents, and a routine for building half-equations and combining them into full redox equations — even for unfamiliar species.

Oxidation & reduction (electron transfer)

At A-Level, oxidation and reduction are defined by electrons — the oxygen definition from GCSE is left behind.

Key definitions

Oxidation is the loss of electrons. Reduction is the gain of electrons. An oxidising agent is an electron acceptor; a reducing agent is an electron donor.

The trap is the word “agent”. An oxidising agent does the oxidising to something else — and to do that, it takes the electrons, so it is itself reduced. The two things cross over, every time:

This species……does its electrons……so it is……and it acts as the…
loses electronsgives them awayoxidisedreducing agent (it reduces the other species)
gains electronstakes themreducedoxidising agent (it oxidises the other species)
Follow the electrons — and watch the labels cross over REDUCING AGENT gives its electrons away is OXIDISED loses e⁻ · state ↑ OXIDISING AGENT takes those electrons is REDUCED gains e⁻ · state ↓ e⁻ the name is the opposite of what happens to it: reducing agent → oxidised · oxidising agent → reduced
Follow the electrons: whoever gives them is oxidised and is the reducing agent; whoever takes them is reduced and is the oxidising agent.
Precision points
  • An oxidising agent is itself reduced. Examiner reports flag students confusing “is oxidised” with “is the oxidising agent” — they are opposites. The oxidising agent gains the electrons.
  • Say what is oxidised, and what the agent does. Not “chlorine oxidises” on its own — state what it oxidises and that chlorine is itself reduced. Sentence frame: “X oxidises Y by removing electrons from Y, and X is reduced.”
  • Mention electron transfer when the electron story is tested — an oxidation-state change on its own is not always the full answer.
🧪 Exam-style questions
Q1 [1 mark]

Which statement about this redox reaction is correct?  3Sn2+(aq) + Cr2O72−(aq) + 2H+(aq) → 2Cr3+(aq) + 3SnO2(s) + H2O(l) Tick (✓) one box.

Q2 [1 mark]

State, in terms of electrons, the meaning of the term oxidising agent.

Show answer

An electron acceptor. 1 mark

Do not accept “electron pair acceptor” (that is a Lewis acid) or the vaguer “gains electrons” when the mark scheme wants the noun “electron acceptor”.

Source: AQA A-Level Chemistry past papers.

Oxidation states

An oxidation state (or oxidation number) is a bookkeeping figure for the electrons on an atom. Track how it changes and you can spot oxidation and reduction in any reaction — even one with unfamiliar species. A small set of rules assigns it.

Assigning oxidation states THE RULES • element on its own = 0 • simple ion = its charge • all states add to the charge (0 for a neutral compound) • Group 1 = +1, Group 2 = +2, Al = +3 rise = oxidation · fall = reduction THE EXCEPTIONS H = +1 but −1 in metal hydrides (NaH) O = −2 but −1 in peroxides (H₂O₂), and +2 in OF₂ F = −1 always Cl, Br, I = −1 except when with O or F
Learn the exceptions cold: H is −1 in metal hydrides, O is +2 with fluorine and −1 in peroxides, and F is always −1.
Worked example — an oxidation state from a formula

Find the oxidation state of chromium in the dichromate ion, Cr2O72−.

Step 1 — put in the states you know: each O is −2, and there are 7 of them: 7 × (−2) = −14.

Step 2 — the states sum to the overall charge (−2):

2 × Cr + (−14) = −2  →  2 × Cr = +12  →  Cr = +6

Divide by the number of atoms at the end — the oxidation state is per atom, so it is +6 for each chromium, not +12.

Worked example — using the change to spot oxidation and reduction

Calcium reacts with water: Ca + 2H2O → Ca(OH)2 + H2. What is oxidised and what is reduced?

Calcium: 0 → +2 — the state rises, so calcium is oxidised.

Hydrogen (the two that become H2): +1 → 0 — the state falls, so that hydrogen is reduced.

A rise in oxidation state is oxidation; a fall is reduction. Quote the numbers — “from 0 to +2” — not just “it goes up”.

Precision points
  • The exceptions win. O is −2 except in peroxides (−1) and with fluorine (+2); H is +1 except in metal hydrides (−1); F is always −1.
  • Per atom. When several atoms of an element share a total, divide at the end — the state is quoted for one atom.
  • Rise = oxidation, fall = reduction — and quote the actual numbers when asked to explain.
🧪 Exam-style questions
Q1 [1 mark]

Which of these oxidation states is correct? Tick (✓) one box.

Q2 [1 mark]

In which substance is oxygen in the highest oxidation state? Tick (✓) one box.

Q3 [1 mark]

In which species is chlorine in its highest oxidation state? Tick (✓) one box.

Q4 [2 marks]

The reaction of calcium with water is a redox reaction: Ca + 2H2O → Ca(OH)2 + H2. Explain, in terms of oxidation states, why this reaction involves both oxidation and reduction.

Show answer

The oxidation state of calcium goes from 0 to +2, so calcium is oxidised. 1 mark

The oxidation state of hydrogen goes from +1 to 0, so hydrogen is reduced. 1 mark

Source: AQA A-Level Chemistry past papers.

Half-equations

A half-equation shows just the oxidation, or just the reduction, complete with the electrons that make it balance. You met these at the electrodes in GCSE electrolysis (Pb2+ + 2e → Pb); A-Level extends them to reactions in acidic solution, where water and H+ join in.

There is a routine that works every time, in this order:

1 · balance the main atom  →  2 · balance O with H2O  →  3 · balance H with H+  →  4 · balance charge with e
The half-equation routine — MnO₄⁻ → Mn²⁺ 1 balance the atom MnO₄⁻ → Mn²⁺ 2 balance O with H₂O MnO₄⁻ → Mn²⁺ + 4H₂O 3 balance H with H⁺ MnO₄⁻ + 8H⁺ → Mn²⁺ + 4H₂O 4 balance charge with e⁻ (reduction gains them) MnO₄⁻ + 8H⁺ + 5e⁻ → Mn²⁺ + 4H₂O five electrons gained — manganese is reduced from +7 to +2
The finished reduction: MnO4 + 8H+ + 5e → Mn2+ + 4H2O — five electrons on the left, because manganese falls from +7 to +2.
Worked example — building two half-equations

In acid, Cr2O72− oxidises SO32−, forming Cr3+ and SO42−.

Oxidation (SO32− → SO42−): S is balanced; add 1 H2O on the left for the extra O; add 2 H+ on the right for its H; add 2 e on the right for the charge:

SO32− + H2O → SO42− + 2H+ + 2e

Reduction (Cr2O72− → Cr3+): balance 2 Cr; add 7 H2O on the right for the O; add 14 H+ on the left for its H; add 6 e on the left for the charge:

Cr2O72− + 14H+ + 6e → 2Cr3+ + 7H2O

Check both: atoms balance, and the charge is the same on each side (−2 for the oxidation, +6 for the reduction). The electrons are the last thing in — if they are missing, you have not finished.

Precision points
  • Electrons on the correct side. Examiner reports flag electrons missing or on the wrong side — reduction gains them (electrons on the left), oxidation loses them (electrons on the right).
  • No electrons? Not finished. A half-equation without electrons is almost always incomplete.
  • Keep the order: main atom, then O with H2O, then H with H+, then charge with e. Doing charge before hydrogen is where it goes wrong.
🧪 Exam-style questions
Q1 [1 mark]

Which incomplete half-equation is balanced by adding two H+ ions and one electron to the left-hand side? Tick (✓) one box.

Q2 [3 marks]

In acid, Cr2O72− oxidises SO32− to SO42−, forming Cr3+. Deduce the half-equation for the oxidation of SO32−, the half-equation for the reduction of Cr2O72−, and the overall equation.

Show answer

Oxidation: SO32− + H2O → SO42− + 2H+ + 2e 1 mark

Reduction: Cr2O72− + 14H+ + 6e → 2Cr3+ + 7H2O 1 mark

Overall: Cr2O72− + 3SO32− + 8H+ → 2Cr3+ + 3SO42− + 4H2O 1 mark

Scale the oxidation by 3 so its 6 electrons match the reduction’s 6, add, then cancel the electrons and tidy the H+/H2O.

Source: AQA A-Level Chemistry past papers.

Combining half-equations

Two half-equations combine into the full redox equation once the electrons match. The electrons lost by one species must exactly equal the electrons gained by the other — so scale each half-equation until they do, then add and tidy up.

Match the electrons, add, then cancel OXIDATION Cu → Cu²⁺ + 2e⁻ REDUCTION ×2 2NO₃⁻ + 4H⁺ + 2e⁻ → 2NO₂ + 2H₂O + 2e⁻ lost = 2e⁻ gained → they cancel Cu + 2NO₃⁻ + 4H⁺ → Cu²⁺ + 2NO₂ + 2H₂O check: charge +2 = +2, and every atom balances
The electrons are the hinge: scale until they match, and they cancel when you add — leaving a balanced overall equation.
Worked example — copper and nitrate ions in acid

Combine the oxidation of copper with the reduction of nitrate ions.

Step 1 — the two half-equations:

Cu → Cu2+ + 2e   (loses 2 electrons)

NO3 + 2H+ + e → NO2 + H2O   (gains 1 electron)

Step 2 — scale so the electrons match (×2 the reduction):

2NO3 + 4H+ + 2e → 2NO2 + 2H2O

Step 3 — add and cancel the electrons:

Cu + 2NO3 + 4H+ → Cu2+ + 2NO2 + 2H2O

Two electrons on each side cancel exactly. Finish by checking the charge: left = 0 (Cu) + 2(−1) (nitrate) + 4(+1) (H+) = +2; right = +2 (Cu2+) + 0 + 0 = +2. Balanced for atoms and charge.

Precision points
  • Match the electrons first. Multiply each half-equation up to the lowest common number of electrons so they cancel exactly — this is where most overall equations go wrong.
  • Cancel duplicated species. The electrons must disappear; then tidy any H+ or H2O that appears on both sides.
  • Check atoms and charge on the final equation — examiner reports flag uncancelled species and wrong ionic forms.
🧪 Exam-style questions
Q1 [3 marks]

Give a half-equation for the oxidation of copper to copper(II) ions, a half-equation for the reduction of NO3 ions in acidic solution to NO2, and hence deduce an overall equation for the reduction of NO3 by copper.

Show answer

Oxidation: Cu → Cu2+ + 2e 1 mark

Reduction: NO3 + 2H+ + e → NO2 + H2O 1 mark

Overall: Cu + 2NO3 + 4H+ → Cu2+ + 2NO2 + 2H2O 1 mark

Q2 [1 mark]

Ammonia is oxidised as shown: w NH3 + x O2 → y H2O + z NO. Which whole-number values for w, x, y and z balance the equation? Tick (✓) one box.

Source: AQA A-Level Chemistry past papers.

Capstone: analysing a redox reaction

Put the whole topic together on one reaction. The classic redox-titration reaction — acidified manganate(VII) with iron(II) — runs through every skill: assign oxidation states, name what is oxidised and reduced and both agents, split into half-equations, and combine.

MnO4 + 8H+ + 5Fe2+ → Mn2+ + 4H2O + 5Fe3+

SpeciesOxidation state changeWhat happensIts role
Mn (in MnO4)+7 → +2 (falls)gains electrons — reducedthe oxidising agent
Fe (as Fe2+)+2 → +3 (rises)loses electrons — oxidisedthe reducing agent

The half-equations behind it: reduction MnO4 + 8H+ + 5e → Mn2+ + 4H2O, and oxidation Fe2+ → Fe3+ + e. Scaling the iron by 5 matches the five electrons manganese needs, and adding them gives the overall equation above. That is the entire topic in one worked analysis: states tell you who changed, electrons tell you the equation, and the agent is always the species that changed the other way.

🧪 Exam-style questions
Q1 [1 mark]

Which equation does not show the reduction of a transition metal? Tick (✓) one box.

Source: AQA A-Level Chemistry past papers.

3.1.7 Redox — Quick-reference summary
  • Oxidation = loss of electrons; reduction = gain of electrons (OIL RIG).
  • Oxidising agent = electron acceptor (itself reduced); reducing agent = electron donor (itself oxidised). The agent and what happens to it are opposites.
  • Oxidation states: element = 0; simple ion = its charge; the states sum to the overall charge. Group 1 = +1, Group 2 = +2, Al = +3.
  • Exceptions: H = +1 (but −1 in metal hydrides); O = −2 (but −1 in peroxides, +2 in OF2/F2O); F = −1 always. A rise in oxidation state is oxidation; a fall is reduction.
  • Half-equation routine: (1) balance the atom; (2) balance O with H2O; (3) balance H with H+; (4) balance the charge with e. If there are no electrons, it is not finished.
  • Reduction gains electrons (on the left); oxidation loses them (on the right).
  • Combining: multiply the half-equations so the electrons cancel, add them, then cancel any species (e, spare H+/H2O) on both sides; check atoms and charge balance.

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