3.1 Advanced Physical Chemistry · Year 13

3.1.11 Electrode Potentials

Use standard electrode potentials, cell notation and electrochemical cells to predict feasible redox reactions.

What you need to know

Open a line for a quick recap. If it feels obvious, move straight to the linked practice.

3.1.11.1 Use the IUPAC convention when writing electrode half-equations. Quick revision

Standard electrode potentials are tabulated using reduction half-equations, with electrons on the left. Keep that convention when you copy data, even if one half-equation will run in reverse in the operating cell.

This lets you compare values consistently. Decide the actual oxidation/reduction direction only after you have written both tabulated reduction couples.

Zn²⁺(aq) + 2e⁻ ⇌ Zn(s)
Cu²⁺(aq) + 2e⁻ ⇌ Cu(s)
Watch forTabulated E° values use reduction half-equations. Keep electrons on the left when copying the standard couple.
3.1.11.1 Read and write conventional cell notation correctly. Quick revision

For conventional cell notation for a spontaneous cell, put the oxidation half-cell on the left and the reduction half-cell on the right. Use | for a phase boundary and || for the salt bridge.

Species in the same phase are separated by commas. Add an inert Pt electrode when a half-cell contains no conducting solid that can provide an electrode surface.

Zn(s) | Zn²⁺(aq) || Cu²⁺(aq) | Cu(s)
Watch forUse || for the salt bridge and include an inert electrode such as Pt when no conducting solid is present in a half-cell.
3.1.11.1 Understand that electrode potentials are measured relative to the standard hydrogen electrode. Quick revision

Think of the standard hydrogen electrode as the zero point of the electrode-potential scale: E° is defined as 0.00 V. Every other standard electrode potential is measured relative to that reference.

Under standard conditions the hydrogen electrode uses H₂ at 100 kPa, H⁺ at 1.00 mol dm⁻³ and a platinum electrode at 298 K.

Watch forThe standard hydrogen electrode is the 0.00 V reference; electrode potentials are relative measurements.
3.1.11.1 Explain why temperature, pressure and solution concentration matter when quoting an electrode potential; the Nernst equation is not required. Quick revision

Electrode potential depends on the position of the half-cell equilibrium, so temperature, gas pressure and ion concentration can change it. E° refers specifically to standard conditions.

AQA does not require the Nernst equation here. You do need to understand why a potential measured away from 298 K, 100 kPa or 1.00 mol dm⁻³ need not equal the tabulated E° value.

3.1.11.1 When quoting E°, use 298 K, gases at 100 kPa and aqueous ions at 1.00 mol dm⁻³. Quick revision

Those conditions define a standard electrode potential: 298 K, 100 kPa for gases and 1.00 mol dm⁻³ for aqueous ions. If the conditions differ, label the value E. The superscript ° is reserved for standard conditions.

Write both reduction half-equations before deciding the cell direction. That makes the signs, electron flow and E°cell calculation much less error-prone.

3.1.11.1 Interpret a table of standard electrode potentials as an electrochemical series. Quick revision

When you read a table of standard electrode potentials, a more positive E° means a greater tendency for the reduction half-equation to proceed as written. That makes the species on the left of a very positive couple a relatively strong oxidising agent under standard conditions.

Conversely, a species on the right of a very negative reduction couple is readily oxidised and can act as a strong reducing agent.

3.1.11.1 Use E° data to predict the thermodynamically favoured direction of a simple redox reaction. Quick revision

The half-equation with the more positive E° has the greater tendency to proceed as reduction. Reverse the other half-equation for oxidation, then combine them and check E°cell is positive for the proposed direction.

With tabulated reduction potentials, a convenient check is E°cell = E°(more positive reduction) − E°(less positive reduction). A positive result supports thermodynamic feasibility for the direction you have written under standard conditions.

2Fe³⁺(aq) + 2I⁻(aq) → 2Fe²⁺(aq) + I₂(aq)
Worked example

E°(Fe³⁺/Fe²⁺) = +0.77 V and E°(I₂/2I⁻) = +0.54 V. Predict the feasible direction under standard conditions.

  1. The more positive reduction potential is Fe³⁺ + e⁻ → Fe²⁺, so Fe³⁺ is reduced.
  2. Reverse the iodine half-equation so iodide is oxidised: 2I⁻ → I₂ + 2e⁻.
  3. E°cell = 0.77 − 0.54 = +0.23 V, so the combined reaction is thermodynamically feasible in that direction.

Answer 2Fe³⁺ + 2I⁻ → 2Fe²⁺ + I₂; E°cell = +0.23 V.

3.1.11.1 Calculate cell EMF from appropriate electrode potentials. Quick revision

Use tabulated reduction potentials consistently: E°cell = E°(reduction) − E°(oxidation couple, still quoted as its tabulated reduction potential).

I find cell-potential calculations safest if you leave the data-booklet half-equations as reductions, identify which one actually runs backwards, and then calculate the potential difference. Never multiply E° when you scale a half-equation.

E°cell = E°(reduction) − E°(oxidation)
Worked example

Two reduction couples have E° = +0.80 V and +0.34 V. Find E°cell for the spontaneous pairing.

  1. the +0.80 V couple runs as reduction
  2. the +0.34 V couple runs in reverse as oxidation
  3. E°cell = 0.80 − 0.34

Answer E°cell = +0.46 V.

Watch forDo not multiply E° values when multiplying half-equations to balance electrons.
3.1.11.1 Construct and interpret conventional cell representations. Quick revision

Cell notation compresses the chemical cell into one line. Put the oxidation half-cell on the left, reduction half-cell on the right, | at phase boundaries and || at the salt bridge.

When you interpret notation, expand each side back into its half-equation and identify where electrons are produced and consumed. That is safer than trying to infer the chemistry from punctuation alone.

3.1.11.2 Relate electrochemical cells to the production of useful electrical energy. Quick revision

Trace what moves in an electrochemical cell: electrons go through the external circuit while ions move through the salt bridge to maintain electrical neutrality. Do not send the electrons through the salt bridge.

A spontaneous redox reaction separated into two half-cells forces electrons through the external circuit, allowing chemical free energy to be delivered as electrical work.

Watch forElectrons move through the external circuit; ions, not electrons, carry charge through the salt bridge/electrolyte.
3.1.11.2 Use the simplified lithium-cell half-equations Li → Li+ + e− and Li+ + CoO₂ + e− → Li+[CoO₂]− to describe the cell chemistry. Quick revision

For the simplified lithium cell, Li is oxidised: Li → Li⁺ + e⁻. At the other electrode, Li⁺ + CoO₂ + e⁻ → Li⁺[CoO₂]⁻ consumes the electron.

Add the supplied half-equations to obtain the overall discharge chemistry. Keep the simplified course equations as given. A more detailed commercial-cell mechanism is outside the chemistry being tested here.

Li → Li⁺ + e⁻
Li⁺ + CoO₂ + e⁻ → Li⁺[CoO₂]⁻
Li + CoO₂ → Li⁺[CoO₂]⁻
3.1.11.2 Distinguish primary (non-rechargeable), rechargeable and fuel-cell behaviour. Quick revision

Separate the three cell types by what happens after discharge: a primary cell is essentially used once, a rechargeable cell can be driven electrically back towards its charged state, and a fuel cell keeps working while fresh reactants are supplied from outside.

Those are different operating ideas: rechargeability depends on reversibility of the cell chemistry, while a fuel cell keeps running because fresh fuel and oxidant continue to arrive.

3.1.11.2 Explain why a fuel cell can keep supplying current while reactants are fed, rather than being recharged electrically. Quick revision

A fuel cell keeps supplying current because fuel and oxidant are fed in continuously. You do not recharge it by electrically forcing the discharge reaction backwards; fresh reactants arrive and products are removed.

For a hydrogen–oxygen fuel cell, the overall chemical product is water. The practical evaluation still has to include how the hydrogen is produced, stored and transported.

3.1.11.2 Use the oxidation and reduction half-equations for an alkaline H₂/O₂ fuel cell. Quick revision

For the alkaline H₂/O₂ fuel-cell half-equations, keep OH⁻ and H₂O in the species as required by the alkaline conditions. Balance the electrons before you add the two half-equations.

When the half-equations are combined, electrons cancel and the overall reaction simplifies to hydrogen reacting with oxygen to form water.

2H₂ + 4OH⁻ → 4H₂O + 4e⁻
O₂ + 2H₂O + 4e⁻ → 4OH⁻
2H₂ + O₂ → 2H₂O
Watch forIn fuel-cell half-equations, balance atoms and charge in the stated acidic/alkaline conditions before adding the equations.
3.1.11.2 Evaluate benefits and risks associated with commercial electrochemical cells in context. Quick revision

When you evaluate a battery or fuel cell, judge the actual electrochemical system, not the label. Look at things such as energy density, lifetime, rechargeability, raw materials, toxicity, fire risk, infrastructure and end-of-life handling.

A strong answer links each claimed advantage or disadvantage to the chemistry or engineering feature that causes it.

3.1.11.2 Given electrode information, infer the reactions in primary and rechargeable cells. Quick revision

Use the supplied half-equations or electrode data to identify the discharge direction first. In a rechargeable cell, an external power supply drives the electrode reactions in the reverse direction during charging.

Keep discharge and recharge equations separate on the page. Reversing one half-cell but not the other produces an impossible mixed description of the cell.

3.1.11.2 Calculate or infer a cell EMF from supplied electrode data. Quick revision

If one potential or Ecell is missing, use Ecell = E(reduction) − E(oxidation couple) algebraically with the values quoted as reduction potentials.

Do not change the sign of a tabulated E° just because you have reversed its half-equation in your working. The subtraction in the cell-emf equation already handles the operating direction.

E°cell = E°(reduction) − E°(oxidation)
Worked example

A cell has E°cell = +1.10 V and the reduction electrode is +0.34 V. Find the tabulated reduction potential of the oxidation couple.

  1. 1.10 = 0.34 − E°(oxidation couple)
  2. E°(oxidation couple) = 0.34 − 1.10

Answer E° = −0.76 V for that couple as a tabulated reduction potential.

Watch forKeep tabulated potentials as reduction potentials and use the Ecell subtraction consistently; do not flip signs ad hoc.
3.1.11.2 Explain how paired oxidation and reduction reactions drive electron flow and produce current. Quick revision

Trace the electron flow: oxidation releases electrons at one electrode and reduction consumes them at the other. Those electrons travel through the external circuit while ions move through the electrolyte or salt bridge to maintain charge balance.

Do not send electrons through the salt bridge. Its job is ionic conduction and charge balance between the half-cells.