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Q.

Consider the following cell: M(s)|MX2(s),X(0.2M)||M2+(0.01M)|M(s) 
The EMF of the cell at 298 K is 0.236V 
MX2(s) being the sparingly soluble salt]

Pick out the correct options of the following:

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a

The solubility product of  MX2  is  2.0×1011M3

b

The solubility of  MX2  in  0.2MX  is  1.0×1010M

c

The solubility product of  MX2  is  4.0×1012M3

d

The solubility of MX2 in pure water is  1.0×104M

answer is B, C, D.

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Detailed Solution

Ecell=0.0592log[M2+]right[M2+]left    0.236=0.0592log[0.01][M2+]left [M2+]left=1×1010M   Solubility  of  MX2  in  0.2M   X=1×1010M KSP  of  MX2=[M2+][X]2=1×1010×(0.2)2=4×1012M3 Solubility  of  MX2  in  water=(Ksp4)1/3=(4.0×10124)1/3=1.0×104M

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