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Types of Solution

Let the solub...

Question

Let the solubility of an aqueous solution of $M g (O H)_{2}$ be 'x' then, its $K_{s p}$ is

4 x^{3}

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108 x^{5}

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27 x^{4}

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9 x

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Solution

The correct option is A $4 x^{3}$
The solubility product constant is the equilibrium constant for the dissolution of a solid substance into an aqueous solution. It is denoted by the symbol $K_{s p}$ .
It is the product of the solubilities of the ions in moles per liter.

Given, the solubility of an aqueous solution of $M g (O H)_{2}$ is 'x'.

$M g (O H)_{2} \to [M g^{2 +}] x + 2 [O H^{-}] 2 x$

$K_{s p} = [M g] [O H]^{2} = [x] [2 x]^{2} = x . 4 x^{2} = 4 x^{3} .$

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