Calculate the $\mathrm{E}_{\text {cell }}^o$ for…

Calculate the $\mathrm{E}_{\text {cell }}^o$ for $\mathrm{Zn}_{(\mathrm{s})}\left|\mathrm{Zn}_{(\mathrm{IM})}^{+}\right|\left|\mathrm{Cd}_{(\mathrm{IM})}^{+}\right| \mathrm{Cd}_{(\mathrm{s})}$ at $25^{\circ} \mathrm{C}\left[\mathrm{E}_{\mathrm{Zn}}^{\circ}=-0.763 \mathrm{~V} ; \mathrm{E}_{\mathrm{Cd}}^{\circ}=-0.403 \mathrm{~V}\right]$
  1. $0.36 \mathrm{~V}$
  2. $1.17 \mathrm{~V}$
  3. $-0.36 \mathrm{~V}$
  4. $-1.17 \mathrm{~V}$

Solution

For the given cell reaction, anode is $\mathrm{Zn}$ and cathode is $\mathrm{Cd}$. $\begin{aligned} \mathrm{E}_{\text {cell }}^o & =\mathrm{E}_{\text {cathode }}^{\circ}-\mathrm{E}_{\text {anode }}^0 \\ & =-0.403-(-0.763) \\ & =0.36 \mathrm{~V} \end{aligned}$

Asked in: MHT CET 2023 (11 May Shift 2)

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