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Q.

An electrolytic cell contains a solution of $A g_{2} S O_{4}$ and have platinum electrodes. A current is passed until 1.6 gm of O₂ has been liberated at anode. The amount of silver deposited at cathode would be

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a

21.60 gm

b

1.6 gm

c

107.88 gm

d

0.8 gm

answer is D.

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Detailed Solution

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At cathode: $A g^{+} + e^{-} \to A g$

At anode: $2 O H^{-} \to H_{2} O + \frac{1}{2} O_{2} + 2 e^{-}$

$E_{A g} = \frac{108}{1} = 108$

$E_{O_{2}} = \frac{\frac{1}{2} \times 32}{2} = 8$

$\frac{W_{A g}}{E_{A g}} = \frac{W_{O_{2}}}{E_{O_{2}}}$

$W_{A g} = \frac{1.6 \times 108}{8} = 21.6 g m$

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An electrolytic cell contains a solution of Ag2SO4 and have platinum electrodes. A current is passed until 1.6 gm of O2 has been liberated at anode. The amount of silver deposited at cathode would be