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Thermodynamics and Electrochemistry

Electrochemical Cells — AP CHEMISTRY Revision Notes & Topical Questions

5 min read 10 parts Lesson 2 of 15 Unit quiz

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Lesson summary

Electrochemical Cells — AP CHEMISTRY notes: Describe voltaic and electrolytic cells, cell potential, free energy, the Nernst equation and Faraday's law.FeatureVoltaic (galvanic)ElectrolyticReactionSpontaneousNon-spontaneous, driven by an applied voltageAnodeOxidation, negativeOxi…

  • Salt bridge
  • Electron flow
  • Cell notation
  • Standard conditions
  • Calculation
  • Feasibility

Section 1 of 10Cell types

FeatureVoltaic (galvanic)Electrolytic
ReactionSpontaneousNon-spontaneous, driven by an applied voltage
AnodeOxidation, negativeOxidation, positive
CathodeReduction, positiveReduction, negative
EnergyChemical to electricalElectrical to chemical

Section 2 of 10Voltaic cell parts

1Half-cell
  • Half-cell a metal electrode in a solution of its ions
2Salt bridge
  • Salt bridge completes the circuit with an inert electrolyte such as KNO3
3Electron flow
  • Electron flow from anode to cathode through the external circuit
4Cell notation
  • Zn(s) | Zn2+(aq) || Cu2+(aq) | Cu(s); anode on the left, cathode on the right

Section 3 of 10Standard cell potential

Standard conditions
  • 1.00 M, 298 K and 100 kPa; the standard hydrogen electrode is 0.00 V
Calculation
  • E°cell = E°cathode − E°anode
    What the symbols mean: Ecell = standard cell potential (V) · Eright = electrode potential of the positive (reduction) half-cell · Eleft = potential of the negative half-cell (V)
  • Cu2+/Cu (+0.34 V) with Zn2+/Zn (−0.76 V) gives +1.10 V.
Feasibility
  • Feasibility a reaction is favoured when E°cell is positive

Section 4 of 10Cell potential and free energy

Equation
  • ΔG° = −nFE°cell, with F = 96 485 C mol-1
Signs
  • E° > 0 gives ΔG° < 0; E° < 0 gives ΔG° > 0
Electrolytic cells
  • Electrolytic cells an applied voltage greater than |E°| is needed;
    • overpotential and resistance raise the practical value
  • Water electrolysis needs more than 1.23 V.

Section 5 of 10Nonstandard conditions

Nernst equation
  • E = E° − (RT/nF) ln Q, or E = E° − (0.0592/n) log Q at 298 K
Q < 1
  • E is larger than E°; Q > 1 — E is smaller than E°
Equilibrium
  • Q = K and E = 0, so the cell is dead
Concentration cell
  • Concentration cell same half-reaction at two concentrations;
    • oxidation at the dilute side and reduction at the concentrated side
  • 0.50 M and 1.00 M Zn2+: E = −(0.0592/2) log 0.5 = +0.0089 V.

Section 6 of 10Electrolysis and Faraday's law

Charge
  • Q = It, in coulombs
    What the symbols mean: Q = charge (C) · I = current (A) · t = time (s)
Moles of electrons
  • Moles of electrons n = Q/F
Mass
  • Mass find moles of electrons, use the half-equation ratio, then multiply by molar mass
  • 2.20 A for 15 min gives 1980 C and 0.25 g of Mg (2 mol e− per Mg).

Section 7 of 10Electrolysis of molten salts

Cathode
  • Cathode positive ions are reduced (metal formed)
Anode
  • Anode negative ions are oxidised
    • (non-metal formed)
Example
  • Example molten PbBr2: Pb2+ + 2e− → Pb and 2Br− → Br2 + 2e−

Section 8 of 10More from the specification

Faraday constant
  • The charge of one mole of electrons, 96 500 C mol-1.
Reaction quotient
  • The ratio of product to reactant concentrations at any moment.

Section 9 of 10Key terms

TermMeaning
Voltaic cellCell producing electrical energy from a spontaneous redox reaction.
Electrolytic cellCell using electrical energy to drive a non-spontaneous reaction.
Standard cell potentialE°cell = E°cathode − E°anode.
Nernst equationE = E° − (RT/nF) ln Q.
Faraday constant96 485 C per mole of electrons.
Salt bridgeIon-containing bridge completing the circuit.

Section 10 of 10Exam technique

1
Confusing the anode in the two cell types — oxidation is always at the anode, but its sign differs.
2
Doubling E° when doubling the equation — E° is intensive and does not change.
3
Using concentrations of solids in Q.
4
Forgetting to convert minutes to seconds in Q = It.

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