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Q. Assertion (A) : A current of $96.5 \,A$ is passed into aqueous $AgNO _{3}$ solution for $100 \,s$. The weight of silver deposited is $10.8 \,g$ (At. wt. of $Ag =108)$
Reason (R): The mass of a substance deposited during the electrolysis of an electrolyte is inversely proportional to the quantity of electricity passing through the electrolyte. The correct answer is :

EAMCETEAMCET 2006Electrochemistry

Solution:

$i =96.5 \,A ,\,, t=100\, s$
$w =108 $
$Q =i t Q =96.5 \times 100=9650 \,C$
$\because 96500$ coulomb deposited wt. of $Ag =108\, g$
$\therefore 9650$ coulomb deposited wt. of $Ag$
$=\frac{108 \times 9650}{96500}$
So, statement $A$ is true but $R$ is false. $R$ is false because mass of substance deposited is directly proportional to the quantity of clectricity.