Calculate $\mathrm{E}_{\text {cell }}^{\circ}$ for the following.…

Calculate $\mathrm{E}_{\text {cell }}^{\circ}$ for the following. $\mathrm{Zn}_{(\mathrm{s})}\left|\mathrm{Zn}_{(1 \mathrm{M})}^{++}\right|\left|\mathrm{Pb}_{(1 \mathrm{M})}^{++}\right| \mathrm{Pb}_{(\mathrm{s})}$ if $\mathrm{E}_{\mathrm{Zn}^{\circ}}^{\circ}=-0.763 \mathrm{~V}$ and $\mathrm{E}_{\mathrm{Pb}}^{\mathrm{o}}=-0.126 \mathrm{~V}$
  1. $0.637 \mathrm{~V}$
  2. $-0.530 \mathrm{~V}$
  3. $-0.889 \mathrm{~V}$
  4. $0.789 \mathrm{~V}$

Solution

For the given cell, $\mathrm{Zn}$ acts as anode and $\mathrm{Pb}$ acts as cathode. $\mathrm{E}_{\text {cell }}^0=\mathrm{E}_{\text {cathode }}^0-\mathrm{E}_{\text {anode }}^0$ $=\mathrm{E}_{\mathrm{Pb}}^0-\mathrm{E}_{\mathrm{Zn}}^0=-0.126 \mathrm{~V}-(-0.763) \mathrm{V}$ $=0.637 \mathrm{~V}$

Asked in: MHT CET 2023 (13 May Shift 2)

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