PH at which mathrm{Mg}(mathrm{OH})₂left[mathrm{~K}_{mathrm{sp}}=1 × 10^{-11}right] begins to prec

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6-2.Equilibrium-II (Ionic Equilibrium)

hard

The $pH$ at which $\mathrm{Mg}(\mathrm{OH})_2\left[\mathrm{~K}_{\mathrm{sp}}=1 \times 10^{-11}\right]$ begins to precipitate from a solution containing $0.10 \ \mathrm{M}$ $\mathrm{Mg}^{2+}$ ions is_____

A

$08$

B

$09$

C

$10$

D

$11$

(JEE MAIN-2024)

Solution

Precipitation when $Q_{s p}=K_{s p}$

${\left[\mathrm{Mg}^{2+}\right][\mathrm{OH}]^2=10^{-11}}$

$0.1 \times\left[\mathrm{OH}^{-}\right]^2=10^{-11} \Rightarrow\left[\mathrm{OH}^{-}\right]=10^{-5}$

$\Rightarrow \mathrm{pOH}=5 \quad \Rightarrow \mathrm{pH}=9$

Standard 11

Chemistry

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