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Q. What is the time required (in seconds) for depositing the silver present in $125 ml$ of $1 M AgNO _{3}$ solution passing a current of $241.25 A [1 F =96500 C ] ?$

Electrochemistry

Solution:

$1000\, ml$ of $AgNO _{3}$ solution contains $108 \, g \, Ag$

$\therefore 125\, ml$ of $AgNO _{3}$ solution will contain

$=\frac{108 \times 125}{1000}=13.5 \, g \, Ag$

$Ag ^{+}+ e ^{-} \rightarrow Ag $

(1 F =96500) 108 g

$108 g$ of $Ag$ is deposited by $96500 C$

$\therefore 13.5$ of $Ag$ is deposited $by =\frac{96500}{108} \times 13.5=12062.5 C$

$Q = It $

$t =\frac{ Q }{ I }=\frac{12062.5}{241.25}=50$ sec