The solubility of [Ag^+] and [Cl^-] solution is 1.43 10^ -3 ,gL^ … - Vidyadip

MCQ

The solubility of $[Ag^+]$ and $[Cl^-]$ solution is $1.43\times 10^{-3}\,gL^{-1}$ then what is the value of $K_{sp}$ at $25\,^oC$ of $AgCl$ .

A
$2.0\times 10^{-6}\,\,M^2$
✓
$1\times 10^{-10}\,\,M^2$
C
$1\times 10^{-6}\,\,M^2$
D
$2\times 10^{-10}\,\,M^2$

✓

Answer

Correct option: B.

$1\times 10^{-10}\,\,M^2$

b
$S=1.43 \times 10^{-3}\, \mathrm{gL}^{-1} \quad \mathrm{M}_{w}(\mathrm{AgCl})=143$

$ = \frac{{1.43 \times {{10}^{ - 3}}}}{{143}}$

${\text{S}} = {10^{ - 5}}\,{\text{mol}}\,{{\text{L}}^{ - 1}}$

${{\text{K}}_{{\text{sp}}}} = {{\text{S}}^2}$

$ = {\left( {{{10}^{ - 5}}} \right)^2} = {10^{ - 10}}\,{{\text{M}}^2}$

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