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For a cell reaction with standard cell potential $E^\circ_\text{cell} = +1.10\,\text{V}$ and $n = 2$ electrons transferred, the standard Gibbs free energy change $\Delta G^\circ$ is approximately:
A$+106.2\,\text{kJ}$
B$-106.2\,\text{kJ}$
C$-212.3\,\text{kJ}$
D$+212.3\,\text{kJ}$
Answer & Solution
Correct answer: C. $-212.3\,\text{kJ}$
$\Delta G^\circ = -nFE^\circ = -(2)(96500)(1.10) = -212{,}300\,\text{J} = -212.3\,\text{kJ}$. The negative sign reflects a spontaneous forward reaction, consistent with $E^\circ_\text{cell}$ being positive.
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