\(\mathrm{Zn}\left|\mathrm{ZnSO}_{4}(0.01 \mathrm{M})\right||  \mathrm{CuSO}_{4}(1 \mathrm{M}) | \mathrm{Cu}\)

Cell reaction \(\rightarrow \mathrm{Zn}+\mathrm{Cu}^{+2} \longrightarrow \mathrm{Zn}^{+2}+\mathrm{Cu}\)

\({\mathrm{E}_{1}=\mathrm{E}^{\circ}-\frac{0.059}{2} \log \frac{\mathrm{Zn}^{+2}}{\mathrm{Cu}^{+2}}} \)

\({\mathrm{E}_{1}=\mathrm{E}^{\circ}-\frac{0.059}{2} \log \frac{0.01}{1}} \)

\({=\mathrm{E}^{\circ}-\frac{0.059}{2} \log \frac{1}{100}}\)

For cell

\(\mathrm{Zn}\left|\mathrm{ZnSO}_{4}(1 \mathrm{M})\right|\left|\mathrm{CuSO}_{4}(0.01 \mathrm{M})\right| \mathrm{Cu}\)

\(\mathrm{E}_{2}=\mathrm{E}^{\circ}-\frac{0.059}{2} \log \frac{1}{0.01}\)

\(=\mathrm{E}^{\circ}-\frac{0.059}{2} \log 100 \ldots(2)\)

\(E_1 > E_2\)