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6-2.Equilibrium-II (Ionic Equilibrium)
medium
If the solubility product of $AB _{2}$ is $3.20 \times 10^{-11}\, M ^{3}$,
then the solubility of $AB _{2}$ in pure water is......... $\times 10^{-4}$ $mol$ $L ^{-1}$.
[Assuming that neither kind of ion reacts with water]
A
$8$
B
$4$
C
$2$
D
$10$
(JEE MAIN-2020)
Solution
$\begin{array}{*{20}{c}} {A{B_2}\left( S \right) \rightleftharpoons A_{\left( {aq.} \right)}^{ + 2} + 2B_{\left( {aq.} \right)}^ – \,:\,{K_{sp}}} \\ {\,\,\,\,\,\,\,\,\,\,S\,\,\,\,\,\,\,\,\,\,\,\,2s} \end{array}$
$K _{ SP }= S ^{1} \times(2 s )^{2}=4 s ^{3}$
$3.2 \times 10^{-11}=4 \times S ^{3}$
$S =2 \times 10^{-4} M / L$
Standard 11
Chemistry