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}} $
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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 $