First slide

Solubility product(KSP)

Question

The molar solubility in mol.lit^-1 of a sparingly soluble salt MX₄ is S. The corresponding solubility product K_sp is given by the relation.

Easy

A

S = (K_sp/128)^1/4
B

$S = \,{\left( {218\,{K_{sp}}} \right)^{\frac{1}{4}}}$
C

$S = \,{\left( {256\,{K_{sp}}} \right)^{\frac{1}{5}}}$
D

S = (K_sp/256)^1/5

Solution

$\large M{X_4}\left( s \right) \rightleftharpoons \mathop {M{X_4}}\limits_S \left( {aq} \right)\xrightarrow{{}}\mathop {{M^{ + 4}}}\limits_S \left( {aq} \right) + \mathop {4{X^ - }}\limits_S \left( {aq} \right)$
$\large {K_{sp}} = S \times {\left( {4S} \right)^4} = 256{S^5}$
$\large \Rightarrow S =$ $\large \sqrt[5]{\frac{K{_{sp}}}{256}}$

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