Calculate the potential of the following cell at $25^{o} C$ .
$Z n | Z n^{2 +} (0.6 M) | | H^{+} (1.2 M) | H_{2} (g, 1 a t m) | P t$ $E_{Z n}^{o} = - 0.763 V$

0.774 V

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0.674 V

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0.574 V

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0.874 V

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Solution

The correct option is A 0.774 V
$Z n + 2 H^{+} \to Z n^{2 +} + H_{2}$
$E = E^{\circ} - \frac{0.059}{2} log \frac{[Z n^{2 +}] \cdot P_{x_{2}}}{[H^{+}]^{2}}$
$= [0 - (- 0.763)] - \frac{0.059}{2} log \frac{0.6}{1.2 \times 1.2}$
$= 0.763 + \frac{0.059}{2} log 2.4$
$E = 0.774 V$

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