Q33 / 160 · AP EAMCET 2006 · Chemistry

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 :

  • A
    Both (A) and (R) are true and (R) is the correct explanation of (A)
  • B
    Both (A) and (R) are true but (R) is not the correct explanation of (A)
  • Correct answer
    C
    (A) is true but (R) is false
  • D
    (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.

Hence, the correct answer is option: 'C'.

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