6.1 Redox: electron transfer and oxidation number

Syllabus
9701–2028–2029
Topic
6.1
Level
AS

Learning objectives

Calculate oxidation numbers by making their weighted sum match the charge

An oxidation number is an assigned electron-bookkeeping value for one atom in a species. It is not necessarily a real ionic charge, especially in a covalent molecule.

Rule Result Important boundary
uncombined element 0 includes H₂, O₂ and Cl₂
monatomic ion ionic charge Fe³⁺ is +3
Group 1 / Group 2 in compounds +1 / +2 use before solving the unknown
fluorine in compounds −1 fluorine is the more electronegative element
oxygen in compounds usually −2 −1 in peroxides; +2 in OF₂
hydrogen in compounds usually +1 −1 in metal hydrides
sum of all oxidation numbers 0 for a neutral species; ion charge for a polyatomic ion multiply each value by its atom count

x+4(2)=2x=+6 for S in SO42x+4(-2)=-2\quad\Rightarrow\quad x=+6\ \mathrm{for\ S\ in\ SO_4^{2-}}

In H₂O₂, hydrogen contributes +2 in total and the molecule is neutral, so the two oxygen atoms contribute −2 in total: each oxygen is −1. Applying the usual −2 without checking for a peroxide would give the wrong result.

Solve from the overall charge, not from a memorised answer. Oxidation number belongs to each atom, so coefficients within a formula must be included before the terms are summed.

Balance redox equations by equalising total oxidation-number change

Assign oxidation numbers to the elements that change. Multiply each change by the number of affected atoms, choose coefficients so total increase equals total decrease, then balance O with H₂O and H with H⁺ in acidic solution. Finish by checking every atom and the total charge.

For MnO₄⁻ + Fe²⁺ → Mn²⁺ + Fe³⁺ in acid:

Element Oxidation-number change Electron-equivalent change Required ratio
Mn +7 → +2 gains 5 1 Mn
Fe +2 → +3 loses 1 5 Fe

MnO4+5Fe2++8H+Mn2++5Fe3++4H2O\mathrm{MnO_4^-+5Fe^{2+}+8H^+\rightarrow Mn^{2+}+5Fe^{3+}+4H_2O}

Atoms balance as Mn₁Fe₅O₄H₈ on both sides. Charge also balances: left = −1 + 10 + 8 = +17 and right = +2 + 15 = +17.

Equalising the numerical changes is only the redox core; it does not finish the equation. Never accept coefficients until both atom counts and total charge agree, and do not add H⁺ unless the stated medium is acidic.

Redox couples oxidation with reduction; disproportionation gives one species both roles

Process Electron transfer Oxidation-number change
oxidation loss of electrons increase
reduction gain of electrons decrease
redox oxidation and reduction occur together at least one increase and one decrease
disproportionation the same reactant species is both oxidised and reduced one starting oxidation number produces a higher and a lower value

In Zn + Cu²⁺ → Zn²⁺ + Cu, Zn loses two electrons and changes 0 → +2, while Cu²⁺ gains two electrons and changes +2 → 0. This is redox because the paired electron loss and gain occur in the same reaction.

In Cl₂ + 2OH⁻ → Cl⁻ + ClO⁻ + H₂O, chlorine starts at 0. Some chlorine atoms are reduced to −1 in Cl⁻ while others are oxidised to +1 in ClO⁻, so Cl₂ disproportionates.

A species merely appearing in two products is not enough for disproportionation: the same element in that one reactant must move to both a higher and a lower oxidation number. Oxidation and reduction are simultaneous electron-bookkeeping changes, not separate optional labels.

Oxidising agents accept electrons and reducing agents donate them

An oxidising agent causes another species to lose electrons and is reduced itself. A reducing agent causes another species to gain electrons and is oxidised itself.

Write the electron change for the agent, not just the reaction partner. Stronger agents are better electron acceptors or donors under the stated conditions.

In Cl₂ + 2Br⁻ → 2Cl⁻ + Br₂, chlorine accepts electrons and is the oxidising agent; bromide donates electrons and is the reducing agent.

The agent’s name describes what it does to the other species, not the change it undergoes. The oxidising agent does not undergo oxidation.

A Roman numeral states the magnitude of an element's oxidation number

In a systematic compound name, a Roman numeral in parentheses after an element states the magnitude of that element's oxidation number. The sign is not written inside the numeral, and the numeral is not an atom count.

Formula Oxidation-number calculation Name
FeCl₃ Fe + 3(−1) = 0, so Fe = +3 iron(III) chloride
SO₂ S + 2(−2) = 0, so S = +4 sulfur(IV) oxide
NaClO₃ +1 + Cl + 3(−2) = 0, so Cl = +5 sodium chlorate(V)

To move from name to formula, translate the numeral into the stated oxidation number and combine it with the known oxidation numbers or ion charges so the whole formula has the required charge. To move from formula to name, calculate first and then convert 1, 2, 3, 4, 5, 6 and 7 to I, II, III, IV, V, VI and VII.

The numeral can describe a metal or a central non-metal; do not restrict it to metal-ion charge. In iron(III) chloride, III means each Fe is +3, not that the formula contains three iron atoms.