Equilibrium Question 206

Question: The solubility product of silver sulphide is $ 3.2\times {10^{-11}}. $ Its solubility at the experimental temperature is

Options:

A) $ 2\times {10^{-4}} $ moles per litre

B) $ 6\times {10^{-6}} $ moles per litre

C) $ 1.2\times {10^{-5}} $ moles per litre

D) $ 8\times {10^{-4}} $ moles per litre

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Answer:

Correct Answer: A

Solution:

$ Ag_2S $ ⇌ $ 2A{g^{+}}+{S^{–}} $

$ K _{sp}=4S^{3} $

$ S=\sqrt[3]{\frac{K _{sp}}{4}} $

$ =\sqrt[3]{\frac{3.2\times {10^{-11}}}{4}}=2\times {10^{-6}} $



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