Equilibrium - Result Question 64

####67. Find out the solubility of $Ni(OH)_2$ in $0.1 M$ $NaOH$. Given that the ionic product of $Ni(OH)_2$ is $2 \times 10^{-15}$

[2020]

(a) $2 \times 10^{-8} M$

(b) $1 \times 10^{-13} M$

(c) $1 \times 10^{8} M$

(d) $2 \times 10^{-13} M$

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Solution:

  1. (d) $Ni(OH)^{2} \rightarrow \underset{s}{Ni^{2+}}+\underset{2 s}{2 OH^{-}}$

$ NaOH \longrightarrow Na+OH^{-} $

Total $[OH^{-}]=2 s+0.1 \approx 0.1$

Ionic product $=[Ni]^{2+}[OH]^{2}$

$2 \times 10^{-15}=s(0.1)^{2}$

$s=2 \times 10^{-13}$

Solubility of $Ni(OH)_2=2 \times 10^{-13} M$



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