Cell C and Cell D are identical in composition

CHEMISTRY · Single correct · A Level · Chemistry · Electrode potentials · Electrode potentials

Problem

Cell C and Cell D are identical in composition, each starting with

[\mathrm{Zn^{2+}}]=0.10\,\text{M}

and

[\mathrm{Cu^{2+}}]=1.0\,\text{M}

for the reaction

\mathrm{Cu^{2+}(aq)+Zn(s)\rightarrow Cu(s)+Zn^{2+}(aq)}

. Cell C operates at

298\,\text{K}

, whereas Cell D operates at

350\,\text{K}

. Assume the standard cell potential is temperature-independent over this range. Which cell can deliver the greater maximum amount of electrical work per mole of electrons transferred, and why? (a) Cell C, because increasing temperature decreases the driving force when

Q<1

. (b) Cell D, because increasing temperature increases the magnitude of the potential when

Q<1

. (c) Cell D, because the standard potential increases with temperature for this reaction. (d) Cell C, because the cell potential is inversely proportional to temperature according to

E = E^{\circ}-\dfrac{RT}{nF}

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