Equilibrium Question 907

Question: The solubility of $ AgCl $ in water at $ 25{}^\circ C $ is $ 1.79\times {10^{-3}}g/L $ . The $ K _{sp} $ of $ AgCl $ at $ 25{}^\circ C $ is

Options:

A) $ 1.68\times {10^{-12}} $

B) $ 1.55\times {10^{-10}} $

C) $ 12.4\times {10^{-8}} $

D) $ 1.73\times {10^{-14}} $

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Answer:

Correct Answer: B

Solution:

Solubility of $ AgCl $ in water $ =1.79\times {10^{-3}}g/L $

$ =\frac{1.79\times {10^{-3}}}{143.5}mol/L $

$ =1.247\times {10^{-5}}mol/L $

For $ AgCl $

$ K _{sp}=S\times S=S^{2} $

$ ={{(1.247\times {10^{-5}})}^{2}} $

$ =1.55\times {10^{-10}}mol^{2}{L^{-2}} $



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