Notes/Chemistry/Paper 4/Electrochemistry
CAIEA2 Level9701§24.1–24.2

Electrochemistry

Electrolysis and Faraday-constant calculations, electrode potentials and cells, feasibility from E⦵cell, the Nernst equation, and ΔG⦵ = −nE⦵cellF — the two-way traffic between chemistry and electricity.

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The AS electrochemistry note gave redox a precise bookkeeping language — oxidation numbers, half-equations, electrons lost matched to electrons gained. This topic turns that bookkeeping into two physical technologies. The first is electrolysis: using electrical energy to force redox reactions to run that would never run on their own, and then counting exactly what each delivered electron produces — a mole of electrons turns out to be worth a fixed, calculable amount of substance, which is how the Avogadro constant itself was first pinned down. The second technology runs the film backwards: build a cell out of two half-cells and a spontaneous redox reaction generates electricity for you — and the voltage it delivers, the electrode potential, is a quantitative measure of how hard the reaction pushes. That single number predicts which electrode is positive, which way electrons flow, whether a reaction is feasible at all, and — through ΔG=nEcellF\Delta G^\ominus = -nE^\ominus_{\text{cell}}F — ties straight back into note 1's Gibbs free energy.

The route through is: §01 predicting the products of electrolysis from molten/aqueous state, redox-series position and concentration, §02 charge, the Faraday constant and mass/volume liberated, §03 measuring the Avogadro constant by electrolysis, §04 standard electrode potentials and the standard hydrogen electrode, §05 combining electrode potentials into cells — polarity and electron flow, §06 feasibility, relative reactivity and constructing redox equations from EE^\ominus values, §07 the Nernst equation under non-standard conditions, and §08 ΔG=nEcellF\Delta G^\ominus = -nE^\ominus_{\text{cell}}F — linking cells back to free energy.

Before you start you should be able to
  • Redox vocabulary: oxidation numbers, oxidising and reducing agents, electron transfer (this subject's own AS Electrochemistry note, §01–§02)

  • Balancing redox equations by combining half-equations, matching electrons lost to electrons gained (this subject's own AS Electrochemistry note, §04)

  • Mole calculations: moles from mass and Ar, from concentration and volume, and gas volumes at r.t.p. (this subject's own Atoms, Molecules and Stoichiometry note)

  • Gibbs free energy ΔG⦵ = ΔH⦵ − TΔS⦵ and the sign test for feasibility (this subject's own A2 Chemical Energetics note, §07)

By the end of this page you can
  • Predict the substances liberated at each electrode during electrolysis of molten and aqueous electrolytes, using position in the redox series and concentration

  • Use Q = It and F = Le to calculate the charge passed and the moles of electrons delivered during electrolysis

  • Calculate the mass and/or volume of substance liberated at an electrode — forwards (from current and time) and in reverse (to find current or time)

  • Describe the determination of the Avogadro constant by an electrolytic method, and calculate L from experimental data

  • Define standard electrode (reduction) potential and standard cell potential with their standard conditions, describe the standard hydrogen electrode, and describe how E⦵ values are measured

  • Calculate E⦵cell by combining two standard electrode potentials, deduce electrode polarity and direction of electron flow, and draw labelled electrochemical cells

  • Use E⦵cell to predict feasibility, deduce relative reactivity as oxidising or reducing agents, and construct overall redox equations from half-equations

  • Predict qualitatively, and quantitatively via the Nernst equation, how E varies with the concentrations of the aqueous ions

  • Understand and use ΔG⦵ = −nE⦵cellF, including finding n from balanced half-equations and rearranging for an unknown E⦵

01

Electrolysis: predicting the products

Syllabus requirement · §24.1.1

predict the identities of substances liberated during electrolysis from the state of electrolyte (molten or aqueous), position in the redox series (electrode potential) and concentration

Using electricity to force a reaction

Every redox reaction met so far ran because it wanted to: the more reactive species donated electrons to the less reactive one, spontaneously. Electrolysis is the opposite deal — electrical energy from a DC supply forces redox to happen that would never run on its own. Pass a current through molten sodium chloride and sodium metal appears at one electrode while chlorine gas bubbles off at the other: sodium and chlorine are far too reactive to coexist by choice, but the supply pushes electrons where chemistry never would.

That makes electrolysis the natural opening for this topic. Its questions ask two things — what forms at each electrode (this section) and how much (§02–§03) — and both answers fall out of electron bookkeeping you already own from AS. Later in the note (§04 onwards) the machinery runs in reverse: spontaneous reactions generating electricity instead of consuming it. Keep those two directions separate in your head from the start.

What is in the beaker, and what each electrode does

An electrolyte is a liquid that conducts because it contains mobile ions. The two states the syllabus cares about offer very different ion menus:

  • Molten ionic compound (heated past its melting point): contains only its own ions. Molten lead(II) bromide contains Pb2+\text{Pb}^{2+} and Br\text{Br}^- — nothing else.
  • Aqueous solution (salt dissolved in water): contains the salt's own ions plus traces of H+(aq)\text{H}^+\text{(aq)} and OH(aq)\text{OH}^-\text{(aq)} from the water itself. Every aqueous electrolysis therefore hosts a competition at each electrode.

The electrodes are inert (platinum or carbon/graphite): they carry electrons into and out of the cell but never react themselves. The DC supply pumps electrons onto one electrode and drags them off the other:

  • The cathode is flooded with electrons, so it is the negative electrode. It attracts positive ions (cations), which gain electrons there: reduction.
  • The anode has electrons dragged away, so it is the positive electrode. It attracts negative ions (anions), which lose electrons there: oxidation.
D.C. supply+e⁻e⁻electrolyte — molten or aqueous: its ions are free to movecathode (−)reductionanode (+)oxidation++Electrons leave the supply's − terminal and enter the cathode; ions moving through the electrolyte complete the circuit.

A generic electrolysis cell. The DC supply pushes electrons onto the cathode (−), where cations are reduced, and pulls them off the anode (+), where anions are oxidised; inside the electrolyte the ions themselves migrate — cations towards the cathode, anions towards the anode.

The competition rules in aqueous solution

Molten electrolytes are easy: only one candidate per electrode, so the products are certain — the metal at the cathode, the non-metal at the anode. Aqueous ones need tie-break rules, because water's own H+\text{H}^+ and OH\text{OH}^- compete with the salt's ions at both electrodes.

At the cathode (reduction) the contest is between the metal cations and hydrogen:

  • For metals below hydrogen in the reactivity series (the syllabus's "redox series") — copper, silver, with lead borderline — the cations win and the metal deposits: Cu2+(aq)+2eCu(s)\text{Cu}^{2+}\text{(aq)} + 2\text{e}^- \rightarrow \text{Cu(s)}.
  • For metals above hydrogen — K, Na, Ca, Mg, Al, Zn — the cations stay dissolved and hydrogen is released instead: 2H+(aq)+2eH2(g)2\text{H}^+\text{(aq)} + 2\text{e}^- \rightarrow \text{H}_2\text{(g)}.

At the anode (oxidation) the contest is between the anions present and hydroxide/water:

  • Concentrated halides (Cl\text{Cl}^-, Br\text{Br}^-, I\text{I}^-) win and the halogen is produced: 2Cl(aq)Cl2(g)+2e2\text{Cl}^-\text{(aq)} \rightarrow \text{Cl}_2\text{(g)} + 2\text{e}^-. Fluoride is the exception even when concentratedF2\text{F}_2 is such a fierce oxidising agent that it reacts with water, so hydroxide still wins and oxygen comes off.
  • Anything else — sulfates, nitrates, or a dilute halide — loses to hydroxide/water, which is oxidised to oxygen: 4OH(aq)O2(g)+2H2O(l)+4e4\text{OH}^-\text{(aq)} \rightarrow \text{O}_2\text{(g)} + 2\text{H}_2\text{O(l)} + 4\text{e}^-.

Concentration overrides position. The same salt can give different anode products depending on how concentrated it is. Electrolyse concentrated NaCl(aq)\text{NaCl(aq)}: chlorine bubbles off. Electrolyse dilute NaCl(aq)\text{NaCl(aq)}: oxygen does. In the concentrated solution the abundant Cl\text{Cl}^- outcompetes the trace OH\text{OH}^-; in the dilute solution there are too few chloride ions to win.

Predicting electrolysis products, every time
  1. 1

    Ask first: molten or aqueous? Molten → jump straight to step 4; no competition exists.

  2. 2

    List every ion present: the salt's own cation and anion, plus H+(aq)\text{H}^+\text{(aq)} and OH(aq)\text{OH}^-\text{(aq)} from the water.

  3. 3

    Apply the competition rules. Cathode: metal below hydrogen deposits, otherwise H2\text{H}_2. Anode: concentrated halide (except fluoride) gives the halogen, otherwise O2\text{O}_2.

    The two most-tested twists live here: a metal ABOVE hydrogen never deposits from aqueous solution, and a DILUTE halide loses to OH⁻ even though a CONCENTRATED one would have won.

  4. 4

    Molten: the metal forms at the cathode and the non-metal at the anode — each electrode has exactly one candidate.

  5. 5

    Write the half-equation for whatever you predicted — with state symbols whenever the question asks (aqueous electrolysis usually does).

CATHODE (−) — reductionmoltenthe metal itself depositsMⁿ⁺ + ne⁻ → M — only its own ions presentaqueousmetal below H depositsCu²⁺, Ag⁺ (Pb²⁺ borderline) → metalmetal above HH₂ insteadK⁺, Na⁺, Ca²⁺… stay as ions:2H⁺(aq) + 2e⁻ → H₂(g)ANODE (+) — oxidationmoltenhalide → halogen · oxide → O₂2X⁻ → X₂ + 2e⁻ ; 2O²⁻ → O₂ + 4e⁻aqueousconcentrated halide → halogenCl⁻, Br⁻, I⁻ (not F⁻) → Cl₂, Br₂, I₂otherwiseO₂ from OH⁻ / waterdilute halide, nitrate, sulfate…:4OH⁻(aq) → O₂ + 2H₂O + 4e⁻Concentration can override position: concentrated Cl⁻ beats OH⁻ at the anode,but F⁻ is too hard to oxidise — water gives O₂ instead.

The full decision flowchart. Cathode branch: molten → the metal deposits; aqueous → metal below H in the reactivity series deposits (Cu²⁺, Ag⁺), metals above H give H₂. Anode branch: molten → halide gives halogen, oxide gives O₂; aqueous → concentrated halide (except F⁻) gives the halogen, otherwise OH⁻/water gives O₂.

A clean demonstration: two predictions from scratch

Molten KBr. Molten, so the only ions are K+\text{K}^+ and Br\text{Br}^- — no competition anywhere. Cathode: K+\text{K}^+ is the only cation available, so potassium forms, K++eK\text{K}^+ + \text{e}^- \rightarrow \text{K}. Anode: Br\text{Br}^- is the only anion, so bromine forms, 2BrBr2+2e2\text{Br}^- \rightarrow \text{Br}_2 + 2\text{e}^-. Molten-salt products are certain because each electrode is offered exactly one candidate.

Dilute CuSO₄(aq). Aqueous, so four ions compete: Cu2+\text{Cu}^{2+} and SO42\text{SO}_4^{2-} from the salt, plus H+\text{H}^+ and OH\text{OH}^- from the water. Cathode: copper sits below hydrogen in the reactivity series, so Cu2+\text{Cu}^{2+} wins and copper coats the electrode: Cu2+(aq)+2eCu(s)\text{Cu}^{2+}\text{(aq)} + 2\text{e}^- \rightarrow \text{Cu(s)}. Anode: sulfate is not a halide, so it loses to hydroxide — oxygen is released: 4OH(aq)O2(g)+2H2O(l)+4e4\text{OH}^-\text{(aq)} \rightarrow \text{O}_2\text{(g)} + 2\text{H}_2\text{O(l)} + 4\text{e}^-. (As the Cu2+\text{Cu}^{2+} is removed the blue colour fades — and because water is consumed at the anode while H+\text{H}^+ is not, the solution slowly becomes acidic.)

Predicting products for three electrolytes

9701/42 M/J 2022 Q5(a)3 marks

Complete the table to predict the substance liberated at each electrode when each electrolyte is electrolysed, using inert electrodes.

electrolytesubstance liberated at the cathodesubstance liberated at the anode
PbBr2(l)\text{PbBr}_2\text{(l)}
concentrated NaCl(aq)\text{NaCl(aq)}
Cu(NO3)2(aq)\text{Cu(NO}_3)_2\text{(aq)}
Show full working
  1. 1

    PbBr2(l)\text{PbBr}_2\text{(l)} — molten, so only its own ions exist. Cathode: Pb2+\text{Pb}^{2+} is the only cation → lead, Pb2++2ePb\text{Pb}^{2+} + 2\text{e}^- \rightarrow \text{Pb}. Anode: Br\text{Br}^- is the only anion → bromine, 2BrBr2+2e2\text{Br}^- \rightarrow \text{Br}_2 + 2\text{e}^-.

    Molten rows are the free marks: no competition rules needed, just 'metal at the cathode, non-metal at the anode'.

  2. 2

    Concentrated NaCl(aq)\text{NaCl(aq)} — aqueous, so four ions compete (Na+\text{Na}^+, Cl\text{Cl}^-, H+\text{H}^+, OH\text{OH}^-). Cathode: sodium is far above hydrogen, so hydrogen wins → hydrogen, 2H+(aq)+2eH2(g)2\text{H}^+\text{(aq)} + 2\text{e}^- \rightarrow \text{H}_2\text{(g)}. Anode: chloride is a halide and the solution is concentrated → chlorine, 2ClCl2+2e2\text{Cl}^- \rightarrow \text{Cl}_2 + 2\text{e}^-.

    Both tie-break rules fire in this row: 'metal above H → H₂' at the cathode AND 'concentrated halide → halogen' at the anode.

  3. 3

    Cu(NO3)2(aq)\text{Cu(NO}_3)_2\text{(aq)} — cathode: copper sits below hydrogen, so copper deposits → copper, Cu2++2eCu\text{Cu}^{2+} + 2\text{e}^- \rightarrow \text{Cu}. Anode: nitrate is not a halide, so hydroxide wins → oxygen (with water), 4OHO2+2H2O+4e4\text{OH}^- \rightarrow \text{O}_2 + 2\text{H}_2\text{O} + 4\text{e}^-.

    Nitrate is the classic 'not a halide' anion — it can never be liberated as a substance at inert anodes; oxygen always takes its place.

Answer

PbBr₂(l): Pb at the cathode, Br₂ at the anode · conc. NaCl(aq): H₂ at the cathode, Cl₂ at the anode · Cu(NO₃)₂(aq): Cu at the cathode, O₂ (+H₂O) at the anode.

Mark schemes award half a mark per substance ('two for one mark, four for two, six for three') — so every cell of the table you get right still pays. Answer every cell, even if unsure of one.

Cathode half-equation with state symbols

9701/42 F/M 2024 Q1(d)(i)1 mark

Aqueous potassium iodide is electrolysed using inert electrodes. Write a half-equation for the reaction that occurs at the cathode. Include state symbols.

Show full working
  1. 1

    Decide what is reduced. The candidates at the cathode are K+\text{K}^+ and H+\text{H}^+ (from water). Potassium sits far above hydrogen in the reactivity series, so K+\text{K}^+ stays dissolved and hydrogen is liberated instead.

    The prediction decides the equation — students who skip this step write 2I⁻ → I₂ + 2e⁻ here, which is the ANODE half-equation, not the cathode's.

  2. 2

    Write the reduction half-equation with state symbols: 2H+(aq)+2eH2(g)2\text{H}^+\text{(aq)} + 2\text{e}^- \rightarrow \text{H}_2\text{(g)}

    The mark scheme explicitly requires the state symbols — (aq) on H⁺ and (g) on H₂. The species alone scores nothing.

Answer

2H⁺(aq) + 2e⁻ → H₂(g)

In aqueous electrolysis the examiner nearly always wants state symbols on electrode half-equations — build the habit of adding them unprompted.

Your turn

  1. 19701/42 F/M 2021 Q2(b)(ii)1 mark

    Molten Fe3O4\text{Fe}_3\text{O}_4 is electrolysed using inert electrodes. Write a half-equation for the reaction occurring at the anode.

    Show solution
    1. 1

      Molten oxide, so the only anion is O2\text{O}^{2-} — no competition. Oxidation at the anode means electrons are lost: 2O2O2+4e2\text{O}^{2-} \rightarrow \text{O}_2 + 4\text{e}^-

      Two oxide ions are needed because oxygen gas is diatomic — one O²⁻ alone cannot become ½O₂ in a half-equation written this way.

    Answer

    2O²⁻ → O₂ + 4e⁻

  2. 2

    Two separate electrolyses are carried out with inert electrodes: one using concentrated HBr(aq)\text{HBr(aq)}, the other using dilute NaBr(aq)\text{NaBr(aq)}. Predict the product at each electrode in both cells, writing a half-equation for each anode.

    Stuck? Show hint

    The cathode contest is identical in both cells; only the anode outcome differs.

    Show solution
    1. 1

      Cathodes: both solutions contain H+\text{H}^+ from water alongside cations (H+\text{H}^+ itself, or Na+\text{Na}^+ which sits above hydrogen). Hydrogen is liberated in both cells: 2H+(aq)+2eH2(g)2\text{H}^+\text{(aq)} + 2\text{e}^- \rightarrow \text{H}_2\text{(g)}.

    2. 2

      Concentrated HBr(aq)\text{HBr(aq)} anode: bromide is a halide and abundant, so it wins → bromine: 2Br(aq)Br2(aq)+2e2\text{Br}^-\text{(aq)} \rightarrow \text{Br}_2\text{(aq)} + 2\text{e}^-

    3. 3

      Dilute NaBr(aq)\text{NaBr(aq)} anode: too few Br\text{Br}^- ions to outcompete the hydroxide → oxygen: 4OH(aq)O2(g)+2H2O(l)+4e4\text{OH}^-\text{(aq)} \rightarrow \text{O}_2\text{(g)} + 2\text{H}_2\text{O(l)} + 4\text{e}^-

      Same ion (Br⁻), same electrode, different concentration — different product. This pair is the cleanest illustration that concentration overrides position.

    Answer

    Conc. HBr: H₂ at the cathode, Br₂ at the anode (2Br⁻ → Br₂ + 2e⁻). Dilute NaBr: H₂ at the cathode, O₂ at the anode (4OH⁻ → O₂ + 2H₂O + 4e⁻).

  3. 3

    Molten aluminium oxide, Al2O3\text{Al}_2\text{O}_3, is electrolysed with inert electrodes. Write the half-equation for the reaction at each electrode.

    Stuck? Show hint

    Molten — list the ions actually present before writing anything.

    Show solution
    1. 1

      The melt contains only Al3+\text{Al}^{3+} and O2\text{O}^{2-} — no competition exists.

    2. 2

      Cathode (reduction): Al3++3eAl\text{Al}^{3+} + 3\text{e}^- \rightarrow \text{Al}

    3. 3

      Anode (oxidation): 2O2O2+4e2\text{O}^{2-} \rightarrow \text{O}_2 + 4\text{e}^-

      This is the industrial aluminium extraction cell (the oxide dissolved in molten cryolite) — the same cell §02 puts numbers to.

    Answer

    Cathode: Al³⁺ + 3e⁻ → Al · Anode: 2O²⁻ → O₂ + 4e⁻

Practise predicting electrolysis productsReal past-paper questions · Electrolysis: products and Faraday calculations

The rest of this note

Checking your access…

Can you do all of these?

  • I can predict electrolysis products for molten and aqueous electrolytes, including the concentrated-vs-dilute halide contrast

  • I can write electrode half-equations for electrolysis, with state symbols where demanded

  • I can run the full chain Q = It → n(e⁻) = Q/F → ÷z → mass or gas volume forwards AND backwards (to find current or time)

  • I can determine the Avogadro constant L from electrolysis data, keeping counts of particles separate from moles

  • I can define standard electrode potential and standard cell potential, quoting all three standard conditions

  • I can describe and draw the standard hydrogen electrode, and describe how E⦵ values are measured against it

  • I can draw a labelled electrochemical cell — salt bridge, voltmeter, complete circuit, Pt electrodes where needed

  • I can calculate E⦵cell and deduce electrode polarity, direction of electron flow and feasibility

  • I can rank oxidising/reducing strength from E⦵ values and construct overall redox equations from half-equations

  • I can use the Nernst equation qualitatively and quantitatively, and use ΔG⦵ = −nE⦵cellF in both directions

Now do the questions
183 real Paper 4 parts from 2021–2025, sorted by difficulty, with mark schemes