\({Zn}_{({s})}+{Cu}_{\left({aq.}\right)}^{+2} \rightarrow {{Zn}^{+2}}+{Cu}({s})\)

\(\quad\quad\quad\quad0.02\,M\quad0.04\,M\)

\(\text { Nernst equation }={F}_{\text {cell }}={E}_{\text {cell }}^{\circ}-\frac{0.059}{2} \log \frac{\left[2 {n}^{+2}\right]}{\left[{Cu}^{+2}\right]}\)

\(\Rightarrow {E}_{\text {cell }}\left[{E}_{\text {cell }}^{\circ}-{E}_{{Zn}^{+2} / {Zn}}^{\circ}\right]-\frac{0.059}{2} \log \frac{0.04}{0.02}\)

\(\Rightarrow {E}_{\text {cell }}[0.34-(-0.76)]-\frac{0.059}{2} \log ^{2}\)

\(\Rightarrow {E}_{\text {cell }} 1-1-\frac{0.059}{2} \times 0.3010\)

\(\quad=1.0911=109.11 \times 10^{-2}\)

\(\quad=109\)