Equilibrium Question 221

Question: The solubility product of $ BaSO_4 $ is $ 1.3\times {10^{-9}} $ . The solubility of this salt in pure water will be [MP PET 2002]

Options:

A) $ 1.69\times {10^{-9}}mol,litr{e^{-1}} $

B) $ 1.69\times {10^{-18}}mol,litr{e^{-1}} $

C) $ 3.6\times {10^{-18}}mol,litr{e^{-1}} $

D) $ 3.6\times {10^{-5}}mol,litr{e^{-1}} $

Show Answer

Answer:

Correct Answer: D

Solution:

$ BaSO_4 $ ⇌ $ \underset{(S)}{\mathop{B{a^{++}}}},+\underset{(S)}{\mathop{SO_4^{-,-}}}, $

$ K _{sp}=S^{2};S=\sqrt{K _{sp}}=\sqrt{1.3\times {10^{-9}}} $

$ =3.6\times {10^{-5}},mol/litre $



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