What is the $\mathrm{pH}$ at which $\mathrm{Mg}(\mathrm{OH})_2$ starts to precipitate from a solution…

What is the $\mathrm{pH}$ at which $\mathrm{Mg}(\mathrm{OH})_2$ starts to precipitate from a solution containing $0.1 \mathrm{M} \mathrm{Mg}^{2+}$ ions? (Given Ksp for $\mathrm{Mg}(\mathrm{OH})_2=1.0 \times 10^{-11}$ )
  1. 7
  2. 4
  3. 6
  4. 9

Solution

$\begin{aligned} & \mathrm{K}_{\mathrm{sp}}=\left(\mathrm{Mg}^{+2}\right)\left[\mathrm{OH}^{-}\right]^2 \\ & 1 \times 10^{-11}=(0.1)\left[\mathrm{OH}^{-}\right]^2 \\ & \Rightarrow\left[\mathrm{OH}^{-}\right]=10^{-5} \mathrm{M} \\ & \mathrm{pOH}=5 ; \mathrm{pH}=9\end{aligned}$

Asked in: MHT CET 2022 (06 Aug Shift 1)

Practice more Ionic Equilibria questions on Aicharya