x mg of Mg ( OH )_2 (molar mass =58 ) is required to be dissolved in 1.0 L of water to produce a pH of 10.0 at 298 K. The value of x is ____ mg.…

$\displaystyle x \mathrm{mg}$ of $\displaystyle \mathrm{Mg}(\mathrm{OH})_2$ (molar mass $\displaystyle =58$ ) is required to be dissolved in $\displaystyle 1.0$ L of water to produce a pH of $\displaystyle 10.0$ at $\displaystyle 298$ K. The value of $\displaystyle x$ is $\displaystyle \_\_\_\_$ mg. (Nearest integer) (Given : $\displaystyle \mathrm{Mg}(\mathrm{OH})_2$ is assumed to dissociate completely in $\displaystyle \mathrm{H}_2 \mathrm{O}$ ]