Which of the following cells have a cell potential which is the same as its standard value?

Z n (s) | Z n^{2 +} (a q) (0.02 M) | | H_{3} O^{+} (a q) (0.1 M) | H_{2} (g) (0.5 a t m), P t

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C u (s) | C u^{2 +} (a q) (0.25 M) | | A g^{+} (a q) (0.5 M) | A g

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C d (s) | C d^{2 +} (a q) (0.01 M) | | H^{+} (p H = 1) | H_{2} (g) (1 a t m), P t

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Z n (s) | Z n^{2 +} (a q) (0.1 M) | | H^{+} (p H = 1) | H_{2} (g) (1 a t m), P t

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Solution

The correct option is C $C d (s) | C d^{2 +} (a q) (0.01 M) | | H^{+} (p H = 1) | H_{2} (g) (1 a t m), P t$
$Z n (s) + 2 H^{+} \to Z n^{2 +} + H_{2 (g)}$
$0.1 M$ $0.02 M$ $0.5 a t m$
$E_{c e l l} = E_{c e l l}^{\circ} - \frac{0.0591}{2} l o g \frac{0.02 \times 0.5}{(0.1)^{2}} = E_{c e l l}^{\circ}$
$C u (s) + 2 A g^{+} \to C u^{2 +} + A g_{(s)}$
$0.5 M$ $0.25 M$
$E_{c e l l} = E_{c e l l}^{\circ} - \frac{0.0591}{2} l o g \frac{0.25}{(0.5)^{2}} = E_{c e l l}^{\circ}$
$C d (s) + 2 H^{+} \to C d^{2 +} + H_{2 (g)}$
$0.1 M$ $0.01 M$ $1 a t m$
$E_{c e l l} = E_{c e l l}^{\circ} - \frac{0.0591}{2} l o g \frac{0.01}{(0.1)^{2}} = E_{c e l l}^{\circ}$
$Z n (s) + 2 H^{+} \to Z n^{2 +} + H_{2 (g)}$
$0.1 M$ $0.1 M$ $1 a t m$
$E_{c e l l} = E_{c e l l}^{\circ} - \frac{0.0591}{2} l o g \frac{0.1}{(0.1)^{2}} \neq E_{c e l l}^{\circ}$

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