MCQ
Three voltameters containing and aqueous solution of $H_2SO_4,$ $CuSO_4$ and $AgNO_3$ are connected in the following way

A current was passed for $10$ hours. $10.8\ g Ag$ was deposited at cathode in $(III)$ electrolytic cell during electrolysis if current efficiency is $50\%.$

If $Z_1,$ $Z_2$ and $Z_3$ be the electrochemical equivalent in the formation of $H_2, Cu$ and $Ag$ respectively, hence $Z_1 : Z_2 : Z_3$ would be

  • A
    $2 : 216 : 63.5$
  • B
    $1 : 63.5 : 108$
  • $1 : 31.75 : 108$
  • D
    $2 : 63.5 : 108$

Answer

Correct option: C.
$1 : 31.75 : 108$
c
$\mathrm{E}_{\mathrm{H}_{2}}=\frac{\mathrm{m}}{2}=\frac{2}{2}=1$

$E_{C u}=\frac{m}{2}=\frac{63.5}{2}=31.75$

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

$\mathrm{Z}_{1}: \mathrm{Z}_{2}: \mathrm{Z}_{3} =\mathrm{E}_{1}: \mathrm{E}_{2}: \mathrm{E}_{3} $

$=\,1: 31.75: 108$

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