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9701 Chemistry · Topics 6 & 24 · AS + A Level

Redox and Electrochemistry Cheat Sheet — A Level Chemistry 9701

Electrochemistry splits neatly into the AS half — oxidation numbers, balancing half-equations and electrolysis — and the A2 half built around the electrochemical series. These sheets cover both, including the Faraday calculation, how to combine two standard electrode potentials without a sign error, and how the Nernst equation shifts E when concentrations are not standard.

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Sheet 1 of 2 — 9701 Chemistry · Topic 6 · AS Level
Redox and Electrolysis — AS

01 · Oxidation and reduction

Oxidation — loss of electrons, oxidation number rises. Reduction — gain of electrons, oxidation number falls. OIL RIG.

The oxidising agent is itself reduced; the reducing agent is itself oxidised. Name the agent, not the process, when asked which is which.

02 · Oxidation number rules

Species O.N.
uncombined element 0
simple ion the charge
Group 1 / 2 +1 / +2
H +1 (−1 in hydrides)
O −2 (−1 in peroxides, +2 in OF₂)
F always −1

Sum = 0 for a neutral compound, = charge for an ion. Roman numerals in a name give the oxidation number: manganate(VII), iron(III).

03 · Building redox equations

Half‑equation method
1 · balance the main element
2 · balance O with H₂O
3 · balance H with H⁺
4 · balance charge with e⁻
5 · scale so electrons cancel, then add
MnO₄⁻ + 8H⁺ + 5e⁻ → Mn²⁺ + 4H₂O
Fe²⁺ → Fe³⁺ + e⁻ (× 5)

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

04 · Disproportionation

One element is simultaneously oxidised and reduced in the same reaction.

Cl₂ + 2NaOH → NaCl + NaClO + H₂O — chlorine goes from 0 to −1 and to +1. Also 2H₂O₂ → 2H₂O + O₂ and Cu⁺ in acid.

05 · Electrolysis

Cathode (−) attracts cations, which are reduced. Anode (+) attracts anions, which are oxidised. Current flows only when ions are mobile — molten or in solution.

In aqueous solution the water can discharge instead: H₂ at the cathode for reactive metals, O₂ at the anode unless a halide is concentrated.

06 · Faraday calculations

Q = I t · n(e⁻) = Q ÷ F
F = 96 500 C mol⁻¹
2.00 A for 30.0 min through CuSO₄(aq).
Q = 2.00 × 1800 = 3600 C
n(e⁻) = 3600 ÷ 96 500 = 0.0373 mol
Cu²⁺ + 2e⁻ → Cu, so n(Cu) = 0.0187 mol
m = 0.0187 × 63.5 = 1.19 g

07 · Common oxidising and reducing agents

Reagent Becomes Colour change
MnO₄⁻ / H⁺ Mn²⁺ purple → colourless
Cr₂O₇²⁻ / H⁺ Cr³⁺ orange → green
I₂ I⁻ brown → colourless
Fe²⁺ Fe³⁺ pale green → yellow
S₂O₃²⁻ S₄O₆²⁻ used in iodine titrations

Manganate(VII) titrations are self‑indicating — the first permanent pink is the end point. Use dilute H₂SO₄, never HCl (chloride is oxidised) and never HNO₃ (itself an oxidising agent).

08 · Electrolysis products in solution

Electrolyte Cathode Anode
conc. NaCl(aq) H₂ Cl₂
dilute NaCl(aq) H₂ O₂
CuSO₄(aq), Pt Cu O₂
molten NaCl Na Cl₂

A metal below hydrogen in reactivity is deposited; a more reactive one leaves H₂ instead. With copper electrodes in CuSO₄ the anode dissolves — the basis of electroplating and purification.

09 · Electrode half‑equations

Cathode (reduction)
Cu²⁺ + 2e⁻ → Cu
2H₂O + 2e⁻ → H₂ + 2OH⁻

Anode (oxidation)
2Cl⁻ → Cl₂ + 2e⁻
2H₂O → O₂ + 4H⁺ + 4e⁻

The same quantity of charge passes through both electrodes, so the mole ratio of products follows the electrons in each half‑equation.

10 · Worked example — oxidation numbers

Cr in Cr₂O₇²⁻: 2x + 7(−2) = −2 → x = +6

S in H₂SO₄: 2(+1) + x + 4(−2) = 0 → x = +6

N in NH₄⁺: x + 4(+1) = +1 → x = −3

Cl in ClO₃⁻: x + 3(−2) = −1 → x = +5

11 · Uses of electrolysis

Extraction of aluminium — molten Al₂O₃ in cryolite, which lowers the melting point and cuts the energy cost. Carbon anodes burn away as CO₂ and must be replaced.

Purification of copper — impure Cu anode dissolves, pure Cu deposits on the cathode; the impurities drop as anode sludge.

Electroplating — the object is the cathode and the plating metal the anode, in a solution of that metal’s salt.

12 · Worked example — two cells in series

The same current passes through AgNO₃(aq) and CuSO₄(aq). 1.08 g of Ag is deposited.

Ag⁺ + e⁻ → Ag: n(Ag) = 1.08 ÷ 107.9 = 0.0100 mol
n(e⁻) = 0.0100 mol — the same in both cells
Cu²⁺ + 2e⁻ → Cu: n(Cu) = 0.00500 mol
m(Cu) = 0.00500 × 63.5 = 0.318 g

13 · Worked example — redox titration

25.0 cm³ of Fe²⁺ solution needs 21.5 cm³ of 0.0200 mol dm⁻³ KMnO₄ in excess dilute H₂SO₄.

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

n(MnO₄⁻) = 0.0200 × 0.0215 = 4.30 × 10⁻⁴ mol
n(Fe²⁺) = 5 × 4.30 × 10⁻⁴ = 2.15 × 10⁻³ mol
c(Fe²⁺) = 2.15 × 10⁻³ ÷ 0.0250 = 0.0860 mol dm⁻³

End point: the first permanent pale pink.

Marks lost here

— Naming the oxidising agent as the species that is oxidised.

— Leaving time in minutes inside Q = It.

— Forgetting the electron ratio from the half‑equation before converting to mass.

Sheet 2 of 2 — 9701 Chemistry · Topic 24 · A Level
Electrode Potentials — A2

14 · Standard conditions

All solutions 1 mol dm⁻³, gases at 100 kPa, temperature 298 K, measured against the standard hydrogen electrode which is defined as 0.00 V.

A platinum electrode is used where no solid metal is involved — it is inert and provides a surface for electron transfer. The salt bridge (KNO₃) completes the circuit and balances charge without mixing the solutions.

15 · Reading E° values

Data‑booklet half‑equations are written as reductions. A more positive E° means a greater tendency to be reduced, so that species is the better oxidising agent.

A more negative E° means the reduced form is the better reducing agent. The more negative half‑cell runs backwards and forms the negative electrode.

16 · Cell e.m.f.

cell = E°(reduced, +ve) − E°(oxidised, −ve)
Zn²⁺/Zn E° = −0.76 V, Cu²⁺/Cu E° = +0.34 V

cell = +0.34 − (−0.76) = +1.10 V
Zn is oxidised (negative electrode), Cu²⁺ reduced.
Zn + Cu²⁺ → Zn²⁺ + Cu

Cell diagram: Zn | Zn²⁺ ⋮⋮ Cu²⁺ | Cu

Positive E°cell → the reaction is feasible. Feasible does not mean fast: a large Ea can still make it immeasurably slow.

17 · Effect of concentration

Apply Le Chatelier to the half‑equation. Raising the concentration of the oxidised species drives the reduction forward and makes E° more positive; raising the reduced species makes it more negative.

For MnO₄⁻/Mn²⁺, raising [H⁺] makes E more positive — which is why acidified manganate(VII) is the stronger oxidising agent.

18 · ΔG and E°

ΔG° = −n F E°cell

n = moles of electrons transferred, F = 96 500 C mol⁻¹. Answer in J mol⁻¹ — divide by 1000 for kJ mol⁻¹. A positive E°cell gives a negative ΔG°, the same feasibility test seen twice.

19 · Cells in use

Fuel cell (H₂/O₂, alkaline): anode 2H₂ + 4OH⁻ → 4H₂O + 4e⁻, cathode O₂ + 2H₂O + 4e⁻ → 4OH⁻. Only product is water; efficiency is high, but storing and transporting H₂ is the difficulty.

Rechargeable cells reverse the electrode reactions on charging. Redox potentials also explain corrosion: a metal with a more negative E° protects one with a less negative E° (sacrificial protection of iron by zinc).

20 · Predicting reactions from E°

Will Br₂ oxidise Fe²⁺?

Br₂ + 2e⁻ → 2Br⁻ E° = +1.07 V
Fe³⁺ + e⁻ → Fe²⁺ E° = +0.77 V

Br₂ has the more positive E°, so it is reduced and Fe²⁺ oxidised.
cell = 1.07 − 0.77 = +0.30 V → feasible.

I₂ (E° = +0.54 V) would not oxidise Fe²⁺: E°cell = −0.23 V.

21 · Half‑cell types

Type Example
metal / metal ion Zn(s) | Zn²⁺(aq)
gas / ion, Pt Pt | H₂(g) | H⁺(aq)
two ions, Pt Pt | Fe²⁺, Fe³⁺
ion / solid, Pt Pt | MnO₄⁻, Mn²⁺, H⁺

In a cell diagram, | is a phase boundary and ⋮⋮ the salt bridge; the oxidised form is written next to the bridge on each side.

22 · Worked example — ΔG° from E°

Zn + Cu²⁺ → Zn²⁺ + Cu, E°cell = +1.10 V, n = 2.

ΔG° = −nFE°
ΔG° = −2 × 96 500 × 1.10
ΔG° = −212 300 J mol⁻¹
ΔG° = −212 kJ mol⁻¹

Strongly negative, so the reaction is thermodynamically feasible.

23 · Disproportionation from E° values

A species disproportionates when its own reduction has a more positive E° than its own oxidation — the two half‑reactions combine to give a positive E°cell.

Cu⁺ + e⁻ → Cu E° = +0.52 V
Cu²⁺ + e⁻ → Cu⁺ E° = +0.15 V

cell = 0.52 − 0.15 = +0.37 V
2Cu⁺ → Cu + Cu²⁺ is feasible, which is why Cu⁺ is unstable in aqueous solution.

24 · E° values worth remembering

Half‑cell E° / V
F₂ / F⁻ +2.87
MnO₄⁻, H⁺ / Mn²⁺ +1.52
Cr₂O₇²⁻, H⁺ / Cr³⁺ +1.33
Fe³⁺ / Fe²⁺ +0.77
Cu²⁺ / Cu +0.34
2H⁺ / H₂ 0.00
Zn²⁺ / Zn −0.76

The list is the reactivity series in another form: the most negative metals are the strongest reducing agents, the most positive non‑metals the strongest oxidising agents.

25 · Corrosion and protection

Rusting is electrochemical: Fe → Fe²⁺ + 2e⁻ at the anodic region, while oxygen is reduced at the cathodic region. Both water and oxygen are needed, and salt speeds it up by carrying the current.

Sacrificial protection — attach a metal with a more negative E° (Zn or Mg) so it corrodes instead. Galvanising does both: the zinc coats the surface and protects sacrificially where it is scratched.

Marks lost here

— Multiplying E° when scaling a half‑equation; E° is intensive and never multiplied.

— Subtracting the wrong way round and reporting a negative E°cell for a feasible cell.

— Treating “feasible” as “will actually happen quickly”.

— Forgetting that the quoted values only hold under standard conditions.

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Written and reviewed by Fahad H. AhmadChemistry tutor at Mega Lecture · 10M+ lecture views · Book a free trial class

Redox and Electrochemistry — Frequently Asked Questions

How do you calculate the cell EMF from two electrode potentials?

Eᴼᶜᵉˡˡ = Eᴼ(reduction half, the more positive) − Eᴼ(oxidation half, the more negative). A positive cell EMF means the reaction as written is feasible.

What does a more positive Eᴼ value tell you?

The more positive the standard electrode potential, the greater the tendency of that species to be reduced — so it is the stronger oxidising agent. The more negative the value, the stronger the reducing agent on the right-hand side of the half-equation.

How does the Nernst equation change E?

Increasing the concentration of the oxidised species makes E more positive; increasing the reduced species makes it more negative. At 298 K, E = Eᴼ + (0.059/z) log([oxidised]/[reduced]).

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