In simple terms
A friendly intro before the formal notes — no formulas yet.
The Great Electron Swap
A redox reaction is a transfer of electrons from one species to another. Oxidation and reduction always happen together — electrons lost by one species are exactly the electrons gained by another — and oxidation states are the bookkeeping tool that lets you track where those electrons went.
Picture a marketplace where the only currency is electrons. A reducing agent is a seller: it hands over electrons and is oxidised (its oxidation state rises). An oxidising agent is a buyer: it takes electrons in and is reduced (its oxidation state falls). Every sale needs a buyer and a seller, so you can never have oxidation without reduction — and the electrons the buyer gains are precisely the electrons the seller loses.
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Assign an oxidation state to every atom using the rules — this is the electron-accounting position of each atom.
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Find the atom whose oxidation state goes UP (oxidised) and the one whose state goes DOWN (reduced).
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Write a half-equation for each process, balancing atoms first, then charge with electrons.
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Scale the two half-equations so the electrons cancel, then add them to get the balanced overall equation.
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Full topic notes
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Oxidation and reduction: OIL RIG
At the centre of every redox reaction are two processes that always occur together, because electrons lost by one species are the electrons gained by another. The mnemonic OIL RIG captures both: Oxidation Is Loss of electrons, Reduction Is Gain of electrons. Historically 'oxidation' meant gaining oxygen and 'reduction' meant losing it, but the modern, general definition is written purely in terms of electron transfer — and equivalently in terms of oxidation state, which rises on oxidation and falls on reduction.
Oxidation: loss of electrons; oxidation state INCREASES.
Reduction: gain of electrons; oxidation state DECREASES.
Redox reaction: one in which both oxidation and reduction occur — you cannot have one without the other.
The electrons lost in the oxidation are exactly the electrons gained in the reduction.
The bookkeeping of electrons: oxidation states
In an ionic reaction it is obvious which species gains and loses electrons, but most redox reactions involve covalent bonds where electrons are shared, not fully transferred. To track electrons in every case, chemists assign each atom an oxidation state (or oxidation number): the hypothetical charge it would carry if all its bonds to different elements were 100% ionic. A change in an atom's oxidation state between reactants and products is the definitive signal that a redox process has taken place. The states are assigned by a short hierarchy of rules — when two rules seem to conflict, the one higher in the list wins.
Rule 1 — An atom in a free element is 0 (e.g. Fe, O₂, P₄, Cl₂).
Rule 2 — A monatomic ion equals its charge (Na⁺ is +1, S²⁻ is −2).
Rule 3 — Fluorine is always −1 in compounds; the other halogens are −1 except when bonded to oxygen or a more electronegative halogen.
Rule 4 — Oxygen is usually −2. Exceptions: −1 in peroxides (H₂O₂, Na₂O₂) and positive in OF₂.
Rule 5 — Hydrogen is usually +1. Exception: −1 in metal hydrides (NaH, CaH₂).
Rule 6 — Oxidation states sum to 0 in a neutral compound.
Rule 7 — Oxidation states sum to the ionic charge in a polyatomic ion.
Oxidising and reducing agents
Naming the agents is where marks are most often thrown away, so fix the logic firmly. The oxidising agent is the species that brings about oxidation in something else — it does so by accepting the electrons, which means the oxidising agent is itself REDUCED. The reducing agent brings about reduction in something else by donating electrons, so the reducing agent is itself OXIDISED. The 'agent' is the cause; the change named applies to its partner, not to itself.
Oxidising agent (oxidant) — electron acceptor; is itself reduced; its oxidation state falls.
Reducing agent (reductant) — electron donor; is itself oxidised; its oxidation state rises.
To identify them, first work out the oxidation-state changes, then read off which species went down (the oxidant) and which went up (the reductant).
Half-equations and combining them
Because a redox reaction is two processes at once, the cleanest way to build and balance it is to write each half separately as a half-equation, with the electrons shown explicitly. A reduction half-equation gains electrons on the left-hand side; an oxidation half-equation loses electrons on the right-hand side. Each half must be balanced for both atoms AND charge — the electrons are what balance the charge. Once you have both halves, you scale them so the number of electrons is identical, then add them so the electrons cancel and disappear from the overall equation. In acidic solution you balance oxygen with H₂O and hydrogen with H⁺ before adding electrons.
Balance atoms other than O and H first.
Balance O by adding H₂O, then balance H by adding H⁺ (acidic solution).
Balance charge by adding electrons to the more positive side.
Scale each half-equation so the electrons match, then add and cancel the electrons.
The reactivity series and displacement reactions
Metals differ in how readily they give up electrons: the more reactive a metal, the more easily it is oxidised. Ranking metals by this tendency gives the reactivity (activity) series. Its practical payoff is displacement: a more reactive metal will reduce the ion of a less reactive metal, pushing it out of solution and taking its place. The classic demonstration is a strip of zinc in copper(II) sulfate solution — the blue colour fades as Zn²⁺ forms and a reddish deposit of copper metal appears on the zinc.
Reactivity (high → low): K, Na, Ca, Mg, Al, Zn, Fe, Pb, (H), Cu, Ag.
A metal higher in the series displaces the ion of a metal lower down.
The metal being displaced is REDUCED (its ion gains electrons); the displacing metal is OXIDISED.
If the metals are in the 'wrong' order — e.g. copper added to Zn²⁺ — no reaction occurs.
Disproportionation
Usually the species that is oxidised and the species that is reduced are different. In a disproportionation reaction they are the same element in the same starting species: one portion is oxidised while another is reduced, so a single element ends up in two different oxidation states in the products. The standard example is chlorine reacting with cold, dilute sodium hydroxide: Cl₂ + 2NaOH → NaCl + NaClO + H₂O. Chlorine starts at oxidation state 0; in NaCl it has fallen to −1 (reduction) and in NaClO it has risen to +1 (oxidation). The same element is both the oxidising and the reducing agent.
HL: the electrochemical series and cells
(HL only.) At Higher Level the qualitative reactivity series is made quantitative. Each reduction half-reaction is assigned a standard electrode potential, E°, measured in volts against the standard hydrogen electrode (defined as exactly 0.00 V) under standard conditions: 298 K, 100 kPa gas pressure and 1 mol dm⁻³ solutions. Ranking half-reactions by E° gives the electrochemical series. A more positive E° means the species is more readily reduced, i.e. a stronger oxidising agent; a more negative E° means the species is more readily oxidised, i.e. a stronger reducing agent. These values are tabulated in the data booklet — you do not memorise them.
E°{cell} = E°{cathode} - E°_{anode}
(HL only.) For example, a Daniell cell pairs zinc, V, with copper, V. Copper has the more positive potential, so it is reduced at the cathode and zinc is oxidised at the anode. The cell potential is V. The positive result confirms the familiar zinc-displaces-copper reaction is spontaneous — the same conclusion the qualitative reactivity series gave, now with a number attached.
Standard hydrogen electrode (SHE): the 0.00 V reference against which all E° values are measured.
More positive E° = stronger oxidising agent (more easily reduced); more negative E° = stronger reducing agent (more easily oxidised).
Voltaic (galvanic) cell: a spontaneous redox reaction generates electricity. Oxidation occurs at the anode (negative), reduction at the cathode (positive).
Electrolytic cell: an external power supply forces a non-spontaneous reaction. Oxidation still occurs at the anode, reduction at the cathode, but the electrode signs are reversed (anode positive, cathode negative).
Cell potential: . A positive value means the voltaic cell reaction is spontaneous.
Common mistakes examiners penalise
Getting OIL RIG backwards — oxidation is LOSS of electrons (state goes up), reduction is GAIN (state goes down). Reversing this reverses everything that follows.
Swapping the oxidising and reducing agents — the oxidising agent is the one REDUCED; the reducing agent is the one OXIDISED. The agent causes the change in its partner, not in itself.
Forgetting the oxygen and hydrogen exceptions — oxygen is −1 in peroxides (H₂O₂), and hydrogen is −1 in metal hydrides (NaH). Applying the usual −2 or +1 blindly gives the wrong answer.
Leaving a half-equation unbalanced for charge — the electrons are what balance the charge; check that the total charge is equal on both sides after adding them (e.g. Cu²⁺ + 2e⁻ → Cu, not + e⁻).
Not cancelling electrons when combining halves — scale each half so the electrons are equal, then add; no electron may remain in the final overall equation.
Calling a spectator ion a reactant — ions like SO₄²⁻ or Na⁺ whose oxidation state does not change take no part in the redox and should be left out of the ionic/half-equation reasoning.
(HL) Using — the cell potential is cathode minus anode; getting the order wrong flips the sign and reverses your spontaneity conclusion.
Model answer — marked the way our engine marks it
Redox questions are marked analytically: each mark is tied to a specific step — a method mark (M) for the correct approach or an answer mark (A) for the correct result — and error-carried-forward (ECF) means an early slip does not have to cost you every mark after it, PROVIDED your method is written down. Study how each mark below is earned by a specific line of working.
Where this leads
Redox underpins much of the chemistry ahead. Reactivity trends explain why some metals corrode and others are used to protect them; electrochemistry turns these half-equations into working cells and batteries; and quantitative redox titrations combine half-equations with the mole calculations from S1.4 to measure unknown concentrations. Master the core habit here — assign oxidation states, split into half-equations, balance atoms then charge, then recombine so the electrons cancel — and every electrochemical topic becomes a variation on a method you already own.
Worked examples
See the formulas applied — reveal one step at a time, like the exam.
Determine the oxidation state of sulfur in the sulfate ion, SO₄²⁻. [2]
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Step 1 — apply the fixed rules. Oxygen is −2 (Rule 4, no peroxide here). There are 4 oxygen atoms, contributing . [M1: correct method — oxygen fixed at −2 and the sum set equal to the charge]
Acidified manganate(VII), MnO₄⁻, oxidises iron(II) to iron(III). The reduction half-equation for manganese is incomplete. Complete and balance it: MnO₄⁻(aq) → Mn²⁺(aq). [3]
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Step 1 — balance atoms other than O and H. There is 1 Mn on each side already, so Mn is balanced.
A piece of zinc is placed in copper(II) sulfate solution and a reaction occurs: Zn(s) + CuSO₄(aq) → ZnSO₄(aq) + Cu(s). Identify the species oxidised and reduced, and state the oxidising agent and reducing agent, justifying each with oxidation-state changes. [4]
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Step 1 — assign oxidation states to the changing species. Zn(s): 0 (free element). Cu in Cu²⁺: +2. Zn in Zn²⁺: +2. Cu(s): 0. The sulfate ion, SO₄²⁻, is a spectator — its atoms do not change oxidation state. [M1: oxidation states of Zn and Cu before and after]
Determine the oxidation state of manganese in MnO₄⁻, and deduce whether Mn is oxidised or reduced when MnO₄⁻ is converted to Mn²⁺. [3]
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Model answer — full working.
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Glossary
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OIL RIG
Oxidation Is Loss, Reduction Is Gain — of electrons. Oxidation raises the oxidation state; reduction lowers it. The two always occur together in a redox reaction.
Key takeaways
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Oxidation: loss of electrons; oxidation state INCREASES.
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Reduction: gain of electrons; oxidation state DECREASES.
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Redox reaction: one in which both oxidation and reduction occur — you cannot have one without the other.
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The electrons lost in the oxidation are exactly the electrons gained in the reduction.
Practice — then mark it
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Get a Paper 2 redox answer marked: assign an oxidation state and deduce oxidation or reduction with full reasoning
Get a Paper 2 redox answer marked: assign an oxidation state and deduce oxidation or reduction with full reasoning
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Before you move on: do Get a Paper 2 redox answer marked: assign an oxidation state and deduce oxidation or reduction with full reasoning on paper, snap a photo, and get examiner-style feedback on exactly where you win and lose marks.