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Q. A current of $12$ ampere is passed through an electrolytic cell containing aqueous $ NiS{{O}_{4}} $ solution. Both $Ni$ and $ {{H}_{2}} $ gas are formed at the cathode. The current efficiency is $60\%$. What is the mass of nickel deposited on the cathode per hour?

WBJEEWBJEE 2007Electrochemistry

Solution:

$N i^{-}+2 e^{-} \rightarrow N i$ (at cathode)
Equivalent weight of $N i=\frac{\text { mol.wt }}{\text { gain electron }}$
$=\frac{58.7}{2}$
$=29.35$
$i=12 A, t=1 h$
$=60 \times 60 s, Z$
$=\frac{E q u . w t .}{96500}$
Weight of deposite $N i=\frac{\text { Zit } \times \text { efficiency }}{100}$
$=\frac{29.35 \times 12 \times 60 \times 60 \times 60}{96500 \times 100}$
$=7.883 g$