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Q. What is the time (in sec) required for depositing all the silver present in $125\, mL$ of $1\, M\,AgNO _{3}$ solution by passing a current of $241.25 A$ ?$ (IF =965000\, C)$

AFMCAFMC 2008

Solution:

Given, $125\, mL$ of $1\, M\, AgNO _{3}$ solution. It means that
$\because 1000\, mL$ of $AgNO _{3}$ solution contains
$=108\, g\, Ag$
$\therefore 125\, mL$ of $AgNO _{3}$ solution contains
$=\frac{108 \times 125}{1000} g Ag$
$= 13/5 \,g\,Ag$
$108\, g$ of $Ag$ is deposited by $=96500\, C$
$\therefore 13.5\, g$ of $Ag$ is deposited by
$=\frac{96500}{108} \times 13.5$
$=12062.5\, C$
$Q=i t$
or $t=\frac{Q}{i}=\frac{12062.5}{241.25}=50$