The same amount of electricity was passed through two separate el…

Question

The same amount of electricity was passed through two separate electrolytic cells containing solutions of nickel nitrate and chromium nitrate respectively. If 2.935 g of Ni was deposited in the first cell. The amount of Cr deposited in the another cell?
Given: molar mass of Nickel and chromium are 58.74 and $52 gm ^{-1}$ respectively.

✓

Answer

$
\begin{aligned}
& Ni _{( aq )}^{2+}+2 e ^{-} \longrightarrow Ni _{( s )} \\
& Cr _{( aq )}^{2+}+3 e ^{-} \longrightarrow Cr _{( s )}
\end{aligned}
$
The above reaction indicates that a $2 F$ charge is required to deposit $58.7 g$ of Nickel from nickel nitrate and $3 F$ charge is required to deposit $52 g$ of chromium.
Given that 2.935 gram of Nickel is deposited
$
\begin{aligned}
& \therefore \text { The amount of charge passed through the cell }=\frac{2 F }{58.7 g } \times 2.935 g \\
& =0.1 F
\end{aligned}
$
$\therefore$ If $0.1 F$ charge is passed through chromium nitrate the amount of chromium deposited
$
\begin{aligned}
& =\frac{52 g }{3 F } \times 0.1 F \\
& =1.733 g
\end{aligned}
$

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