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Question: The molar solubility (in mol L–1) of a sparingly soluble salt MX4 is s. The corresponding solubility...

The molar solubility (in mol L–1) of a sparingly soluble salt MX4 is s. The corresponding solubility product is Ksp.. s is given in terms of Ksp by the relation

A

s = (Ksp/128)1/4

B

s = (128Ksp)1/4

C

s = (256Ksp)1/5

D

s = (Ksp/256)1/5

Answer

s = (Ksp/256)1/5

Explanation

Solution

MX4 (solid) \rightleftharpoons M4+(aq)+4X(aq)\mathrm { M } ^ { 4 + } { } _ { ( \mathrm { aq } ) } + 4 \mathrm { X } _ { ( \mathrm { aq } ) } ^ { - } Solubility product, Ksp = s × (4s)4 = 256 s5

\therefore s = (Kps256)1/5\left( \frac { \mathrm { K } _ { \mathrm { ps } } } { 256 } \right) ^ { 1 / 5 }