Ionic Equilibrium Question 5

Question 5 - 2024 (30 Jan Shift 1)

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

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Answer (9)

Solution

recipitation when $Q _{sp}=K _{sp}$

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

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

$\Rightarrow pOH=5 \Rightarrow pH=9$