Equilibrium Question 279
Question: The solubility product of Mg $ {{(OH)}_2} $ is $ 1.2\times {10^{-11}} $ . The solubility of this compound in gram per $ 100,cm^{3} $ of solution is [Roorkee 2000]
Options:
A) $ 1.4\times {10^{-4}} $
B) $ 8.16\times {10^{-4}} $
C) 0.816
D) 1.4
Show Answer
Answer:
Correct Answer: B
Solution:
$ Mg{{(OH)}^{2}} $ ⇌ $ \underset{(s)}{\mathop{M{g^{2+}}}},+\underset{{{(2s)}^{2}}}{\mathop{2O{H^{-}}}}, $
$ K _{sp}=4S^{3}\Rightarrow S=\sqrt[3]{\frac{K _{sp}}{4}}=\sqrt[3]{\frac{1.2\times {10^{-11}}}{4}} $
$ S=8.16\times {10^{-4}} $