AP Chemistry · Topic 9.8

Cell Potential and Free Energy Practice

Part of Applications of Thermodynamics.(ENE-6.B)

Practice questions

24

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Sample questions

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  1. Sample 1difficulty 1/5

    A student constructs a Zn|Zn^2+(1.0 M) || Cu^2+(1.0 M)|Cu galvanic cell with a KNO3 salt bridge and reads the voltage with a high-impedance voltmeter. Standard reduction potentials: Cu^2+/Cu = +0.34 V; Zn^2+/Zn = -0.76 V. The measured cell voltage at 25 C is 1.08 V.

    Zn Cu Zn(NO3)2 Cu(NO3)2 salt bridge V 1.08 V

    What is the standard cell potential E_cell^o, and how does the measurement compare?

    • A

      E^o = +1.10 V; measured value should be exactly 1.10 V

    • B

      E^o = -1.10 V; cell is non-spontaneous

    • C

      E^o = +0.42 V; measurement is too high

    • D

      E^o = +1.10 V; measured (1.08 V) is slightly low, consistent with internal resistance / non-ideal conditions

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    Why

    E^o_cell = E^o_cath - E^o_an = 0.34 - (-0.76) = +1.10 V. Measured 1.08 V is within typical experimental error.

  2. Sample 2difficulty 2/5

    Au³⁺ +1.50 Cu²⁺ +0.34 Pb²⁺ -0.13 Mg²⁺ -2.37 strongest oxidizer strongest reducer

    Which species is the strongest reducing agent shown?

    • A

      Au(s)

    • B

      Pb(s)

    • C

      Cu(s)

    • D

      Mg(s)

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    Why

    The most negative E° corresponds to the species most easily oxidized; Mg → Mg²⁺ has E°ox = +2.37 V, so Mg is the best reducing agent.

  3. Sample 3difficulty 3/5

    Adding more Cu²⁺ to a Zn–Cu cell at standard conditions causes E to

    • A

      Decrease

    • B

      Drop to 0

    • C

      Stay at E°

    • D

      Increase

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    Why

    Higher [Cu²⁺] makes Q smaller; Nernst correction adds to E°.

  4. Sample 4difficulty 3/5

    ΔG° = -n F E°cell n = 2, E°cell = +1.10 V F = 96485 C/mol ΔG° = ?

    Compute ΔG° in kJ.

    • A

      +212 kJ

    • B

      -1.10 kJ

    • C

      -106 kJ

    • D

      -212 kJ

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    Why

    ΔG° = -(2)(96485)(1.10) ≈ -212270 J ≈ -212 kJ.

  5. Sample 5difficulty 3/5

    Cu²⁺ + 2e⁻ → Cu E° = +0.34 V Zn²⁺ + 2e⁻ → Zn E° = -0.76 V

    +E° -E° Cu²⁺/Cu +0.34 Zn²⁺/Zn -0.76

    For the galvanic cell Zn|Zn²⁺ || Cu²⁺|Cu, what is E°cell?

    • A

      +1.10 V

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    • B

      -1.10 V

    • C

      -0.42 V

    • D

      +0.42 V

    Why

    E°cell = E°cathode - E°anode = (+0.34) - (-0.76) = +1.10 V.