MCQ
The solubility product of $AgCl$ is $10^{-10}\, M^2$. The minimum volume (in $m^3$) of water required to dissolve $14.35\, mg$ of $AgCl$ is approximately
  • $10$
  • B
    $0.1$
  • C
    $100$
  • D
    $0.01$

Answer

Correct option: A.
$10$
a
$A g C l \rightleftharpoons A g^{+}+C l^{-}$

$\quad S \quad S$

$\Rightarrow K_{s p}=S^{2}$

$\Rightarrow 10^{-10}=S^{2} \quad ; \quad S=10^{-5} \,M$

$\Rightarrow$ Molecular weight of $A g C l=143.5 \,g$

$\Rightarrow 10^{-5}=\frac{14.35 \times 10^{-3}}{143.5} \times \frac{1000}{V(m l)}$

$10^{-1}=\frac{1000}{V(m l)}$

$V_{m l}=10000 ml =10\,litres$

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