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Question

Which of the following is most soluble in water?

A
MnS (Ksp=8×1037)
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B
ZnS (Ksp=7×1016)
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C
Bi2S3 (Ksp=5×1070)
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D
Ag2S (Ksp=6×1051)
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Solution

The correct option is B ZnS (Ksp=7×1016)
Greater the value of s, greater is the solubility of the salt.

MnS(S)Mn2+s(aq)+S2s(aq)Ksp=s2s=Ksp=0.89×1018 MZnS(s)Zn2+s(aq)+S2s(aq)Ksp=s2s=Ksp=2.64×108 MBi2S3(s)2Bi3+2s(aq)+3S23s(aq)Ksp=22s2×33s3=108s5s=(Ksp108)15=0.54×1014MAg2S(s)2Ag+2s(aq)+S2s(aq)Ksp=4s3s=(Ksp4)13=1.14×1017 M
Hence, ZnS is the most soluble.

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