First slide

Solubility product(KSP)

Question

The molar solubility of sparingly soluble salt M_xX_y in its saturated solution at a given temperature is ‘S’. The correct relation between ‘S’ and K_sp of it is (K_sp = solubility product).

Moderate

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D

Solution

$\large {M_x}{X_y}\left( s \right) \rightleftharpoons \mathop {{M_x}{X_y}}\limits_S \left( {aq} \right)\xrightarrow{{}}\mathop {x{M^{ + a}}}\limits_{xS} \left( {aq} \right) + \mathop {Y{X^{ - b}}}\limits_{yS} \left( {aq} \right)$
[M^+a] = xS and [X^-b] = yS
K_sp = [M^+a]^x[X^-b]^y
K_sp = [xS]^x[yS]^y =x^x y^y S^x+y
S = $\sqrt[(x + y)]{\frac{K_{sp}}{x^{x} y^{y}}}$

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