An electrolytic cell contains a solution of A g_2 S O_4 and have … - Vidyadip

MCQ

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 ${O_2}$ has been liberated at anode. The amount of silver deposited at cathode would be ............. $\mathrm{gm}$

A
$107.88$
B
$1.6$
C
$0.8$
✓
$21.60$

✓

Answer

Correct option: D.

$21.60$

d
(d)At cathode: $A{g^ + } + {e^ - } \to Ag$

At Anode: $2O{H^ - } \to {H_2}O + \frac{1}{2}{O_2} + 2{e^ - }$

${E_{Ag}} = \frac{{108}}{1} = 108;\,\,{E_{{O_2}}} = \frac{{\frac{1}{2} \times 32}}{2} = 8$

$\frac{{{W_{Ag}}}}{{{E_{Ag}}}} = \frac{{{W_{{O_2}}}}}{{{E_{{O_2}}}}}$; ${W_{Ag}} = \frac{{1.6 \times 108}}{8} = 21.6\,\,gm$.

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