voltage, galvanic cell question?

Hi

question is which of the following changes will raise the voltage in the galvanic cell

ZnZn^2+\Cu^2+Cu

E = 1.1 V

A. raising concentrations of both [Zn^2+] and [Cu^2+] at the same amount.

B. [Zn^2+] remains the same and raising [Cu^2+] concentration.

C. [Cu^2+] remains the same and raising [Zn^2+] concentration.

D. lowering both [Zn^2+] and [Cu^2+] concentrations at the same amount.

I am pretty sure it’s C because of Nernst equation the part of log[Ox]/[Red] , raising the Ox part will raise the voltage, therefore it’s Zn (the atom being oxidize).

Is that correct?

Thank you.

2

✅ Answers

? Favorite Answer

  • oxidtion half :-

    Zn ——–> Zn2+ + 2e-

    reduction half :-

    Cu2+ + 2e- ——> Cu

    complete equation :-

    Zn + Cu2+ ———–> Zn2+ + Cu

    nernst equation …

    E(cell) = Eo(cell) – RT/nF ln [Zn2+]/[Cu2+]

    now as 2e- are involved in electrode reaction so n = 2

    E(cell) = Eo(cell) – RT/2F ln [Zn2+]/[Cu2+]

    now here Eo(cell) is constant = 1.1 V ….

    RT/2F is also constant …

    lets just say that temperature is 298 K

    then RT/ 2F = 8.314 X 298 / 2 X 965 = 0.0129

    lets see what happen when you increase the conc.of Zn2+ keeping the conc.of Cu2+ constant …..say initially [Cu2+] = 1M and [Zn2+] = 2 M

    then E(cell) = 1.1 – 0.0129 X ln 2/1 = 1.1 – 0.0129 X ln 2 = 1.1 – 8.942 X 10^-3 = 1.091 V

    now say you increase the conc. of Zn2+ to 4 M keeping Cu2+ at 1 M

    then E(cell) = 1.1 – 0.0129 X ln 4/1 = 1.1 – 0.0129 X ln 4 = 1.1 – 0.0179 = 1.082 V

    so E(cell) has decreased when you raise the conc.of Zn2+ keeping the Cu2+ conc. constant ..

    ———————————————————————–

    now say Zn2+ = 1 M and Cu2+ = 2 M

    then E(cell) = 1.1 – 0.0129 X ln 1/2 = 1.1 – 0.0129 X ln0.5 = 1.1 – -8.942 X 10^-3 = 1.1 + 8.942 X 10^-3 = 1.109 V

    and now again Zn2+ = 1 M and Cu2+ = 4 M

    then E(cell) = 1.1 – 0.0129 X ln 1/4 = 1.1 – 0.0129 X ln0.25 = 1.1 – -0.018 = 1.1 + 0.018 = 1.118 V

    so E(cell) increases when you increase the conc.of Cu2+ keeping conc.of Zn2+ constant

    so answer is B

  • C

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