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}} $



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