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Solubility Product

Ksp of CuS,...

Question

$K_{s p}$ of $C u S, {A g}_{2} S, H g S$ are $10^{- 31}, 10^{- 44}, 10^{- 54}$ respectively. Select the correct order for their solubility in water:

A

{A g}_{2} S > H g S > C u S

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B

H g S > C u S > {A g}_{2} S

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C

H g S > {A g}_{2} S > C u S

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D

{A g}_{2} S > C u S > H g S

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Solution

The correct option is B ${A g}_{2} S > C u S > H g S$
Solubility of ${A g}_{2} S (4 S^{3} = K_{s p})$ and for $C u S$ and $H g S$ $(S^{2} = K_{s p}$ )
${A g}_{2} S (4 S^{3} = K_{s p}) = 10^{- 31}$
$S_{A g_{2} S} = 0.296 \times 10^{- 10}$
$S_{H g S} = 10^{- 27}$
$S_{C u S} = 10^{- 22}$

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