MCQ
Two electrolytic cells containing $CuS{O_4}$ and $AgN{O_3}$ respectively are connected in series and a current is passed through them until $1 \,mg$ of copper is deposited in the first cell. The amount of silver deposited in the second cell during this time is approximately ......... $\mathrm{mg}$ [Atomic weights of copper and silver are respectively $63.57$ and $107.88$]
  • A
    $1.7$
  • $3.4 $
  • C
    $5.1$
  • D
    $6.8$

Answer

Correct option: B.
$3.4 $
b
(b) $\frac{{{m_1}}}{{{m_2}}} = \frac{{{E_1}}}{{{E_2}}}$ (By faraday law for same current and time)

Where $E_1$ and $E_2$ are the chemical equivalents and $m_1$ and $m_2$ are the masses of copper and silver respectively.

$E = \frac{{{\rm{Atomic\,weight}}}}{{{\rm{Valency}}}}$.

${E_1} = \frac{{63.57}}{2} = 31.79$ and ${E_2} = \frac{{107.88}}{1} = 107.88$
$\frac{{1\,mg}}{{{m_2}}} = \frac{{31.79}}{{107.88}}$

$\Rightarrow $ ${m_2} = \frac{{107.88}}{{31.79}}\,mg = 3.4\,mg$

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