Assertion (A) : A current of $96.5 \mathrm{~A}$ is passed into aqueous $\mathrm{AgNO}_3$ solution for $100…
Assertion (A) : A current of $96.5 \mathrm{~A}$ is passed into aqueous $\mathrm{AgNO}_3$ solution for $100 \mathrm{~s}$. The weight of silver deposited is $10.8 \mathrm{~g}$ (At. wt. of $\mathrm{Ag}=108)$ 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 :
Both (A) and (R) are true and (R) is the correct explanation of (A)
Both (A) and (R) are true but (R) is not the correct explanation of (A)
(A) is true but (R) is false
(A) is false but (R) is true
Solution
$i=96.5 \mathrm{~A}, t=100 \mathrm{~s}$
$w=108$
$Q=i t$
$Q=96.5 \times 100=9650 \mathrm{C}$
$\because 96500$ coulomb deposited wt. of $\mathrm{Ag}=108 \mathrm{~g}$
$\therefore 9650$ coulomb deposited wt. of $Ag=\frac{108 \times 9650}{96500}$
So, statement $\mathbf{A}$ is true but $\mathbf{R}$ is false. $\mathbf{R}$ is false because mass of substance deposited is directly proportional to the quantity of electricity.
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