Chapter 20, Problem 89CWP

Interpretation Introduction

Interpretation: The solubility of $\text{Mg}{\left(\text{OH}\right)}_2$ at the given $\text{pH}$ of the given solubility product constant is to be calculated.

Concept introduction: The concentration of hydroxide ion is calculated as,

$\left[{\text{OH}}^{-}\right]=\text{antilog}\left[-\left(14-\text{pH}\right)\right]$

The solubility product constant is calculated by the formula,

$K_{\text{sp}}=\left[{\text{Mg}}^{2+}\right]{\left[{\text{OH}}^{-}\right]}^2$

To determine: The solubility of $\text{Mg}{\left(\text{OH}\right)}_2$ for the given $\text{pH}$.