Equilibrium Question 205

Question: At 298 K, the solubility of $ PbCl_2 $ is $ 2\times {10^{-2}}mol/lit $ , then $ K _{sp}= $ [RPMT 2002]

Options:

A) $ 1\times {10^{-7}} $

B) $ 3.2\times {10^{-7}} $

C) $ 1\times {10^{-5}} $

D) $ 3.2\times {10^{-5}} $

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Answer:

Correct Answer: D

Solution:

$ PbCl_2 $ ⇌ $ \underset{(S)}{\mathop{P{b^{2+}}}},+\underset{{{(2S)}^{2}}}{\mathop{2C{l^{-}}}}, $

$ K _{sp}=4S^{3}=4\times {{(2\times {10^{-2}})}^{3}}=3.2\times {10^{-5}} $



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