First slide

Solubility product(KSP)

Question

The values of $K_{sp}$ for CuS, ${Ag}_{2} S$ and HgS are $10^{- 31}, 10^{- 42} and 10^{- 54}$ respectively. The correct order of their solubility in water is

Moderate

A

${Ag}_{2} S$ > HgS > CuS
B

HgS > CuS > ${Ag}_{2} S$
C

HgS > ${Ag}_{2} S$ > CuS
D

${Ag}_{2} S$ > CuS > HgS

Solution

${Ag}_{2} S$ > CuS > HgS
Solubility of CuS = $\sqrt{10^{- 31}} = 3.16 \times 10^{- 16} m o l / L$
Solubility of ${Ag}_{2} S$
$= \sqrt[3]{\frac{K_{s p}}{4}} = \sqrt[3]{\frac{10^{- 42}}{4}} = 6.3 \times 10^{- 5} m o l / L$
Solubility of HgS = $\sqrt{K_{s p}} = \sqrt{10^{- 54}}$
$= 10^{- 27} m o l / L$

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