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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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