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6-2.Equilibrium-II (Ionic Equilibrium)
medium
The solubility product of a salt having general formula $M{X_2},$ in water is : $4 \times {10^{ - 12}}$. The concentration of ${M^{2 + }}$ ions in the aqueous solution of the salt is
A
$2.0 \times {10^{ - 6}}M$
B
$1.0 \times {10^{ - 4}}M$
C
$1.6 \times {10^{ - 4}}M$
D
$4.0 \times {10^{ - 10}}M$
(AIEEE-2005)
Solution
(b) $M{X_2} ⇌ \mathop {{M^{2 + }}}\limits_{S\,\,\,\,\,\,} + \mathop {2{X^ – }}\limits_{2S\,\,\,} $
${K_{sp}} = {(2S)^2}(S) = 4{S^3}$
$⇒$ $S = \,\,\sqrt[3]{{\frac{{{K_{sp}}}}{4}}} = \sqrt[3]{{\frac{{4 \times {{10}^{ – 12}}}}{4}}} = 1.0 \times {10^{ – 4}}M$.
Standard 11
Chemistry
