Solubility product constant (Ksp) of salts of types MX,MX2 and MX3 at temperature T are 4.0×10−8,3.2×10−14 and 2.7×10−15 respectively. Solubilities (moldm−3) of the salts at temperature 'T' are in the order :
A
MX>MX2>M3X
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B
M3X>MX2>MX
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C
MX2>M3X>MX
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D
MX>M3X>MX2
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Solution
The correct option is DMX>M3X>MX2 Let 's' be the solubilityMX(s)⇌M+(aq)+X−(aq)
Then solubility product Ksp=[M+][X−]−ss
Ksp=s2
or s=√Ksp s=√4×10−8=2×10−4
Similarly, for MX2 MX2(s)⇌M2+(aq)+2X−(aq)−s2s
Ksp=[M2+][X−]2 Ksp=s×(2s)2=4s3
or s=[Ksp4]13 s=[3.2×10−144]13=[324×10−15]13 s=[8×10−15]13 s=2×10−5
and for MX3 MX3(s)⇌M3+(aq)+3X−(aq)−s3s
Ksp=[M3+][X−]3 Ksp=s×3s3=27s4
or s=[Ksp27]14 s=[2.7×10−1527]14 s=[10−16]14 s=10−4
Thus the solubilities are in the order MX>MX3>MX2
i.e the correct answer is (d).