The $K_{s p}$ of $H g_{2} I_{2}$ in aqueous solution is given by $x^{x} . y^{y} s^{x + y}$ . What is the value of $(x + y)$ ?

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Solution

$H g_{2} I_{2} ⟶ H g_{2}^{2 +} + 2 I^{-}$
$s$ $s$ $2 s$
$K_{s p} = [H g^{2 +}] [I^{-}]^{2}$
$\Rightarrow K_{s p} = [s]^{1} [2 s]^{2} = 1^{1} 2^{2} [s]^{1 + 2} = 4 s^{3}$
Thus, $x = 1, y = 2$
$\Rightarrow x + y = 1 + 2 = 3$

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