Gujarati
Hindi
6-2.Equilibrium-II (Ionic Equilibrium)
hard

The moles of $Ag^+$ which must be added to decrease the concentration of $Cl^-$ from $4 × 10^{-5}$ $M$ to $10^{-5}\,M$ in $100$ $ml$ solution, if $K_{sp}$ for $AgCl$ is $10^{-10}\,M^2$ at $25\,^oC$

A

$4 × 10^{-5}$ $mole$

B

$2 × 10^{-5}$ $mole$

C

$3 × 10^{-6}$ $mole$ 

D

$4 × 10^{-6}$ $mole$

Solution

$\mathop {AgCl(s)}\limits_y  \leftrightarrow \mathop {A{g^ + }(aq.)}\limits_{x – y}  + \mathop {C{l^ – }(aq.)}\limits_{4 \times {{10}^{ – 5}} – y} $

$4 \times 10^{-5}-y=10^{-5}$

$y=3 \times 10^{-5}$

$(x-y)\left(4 \times 10^{-5}-y\right)=10^{-10}$

$(x-y)\left(10^{-3}\right)=10^{-10}$

$x-y=10^{-5}$

$x-3 \times 10^{-5}=10^{-5}$

$x=4 \times 10^{-5}$

Standard 11
Chemistry

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