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Answer: 1. \(2\times10^{-13}\) M

In 0.1 M NaOH the common ion \(\mathrm{OH^-}\) is already present, so the \(\mathrm{OH^-}\) from \(\mathrm{Ni(OH)_2}\) can be ignored.

\(\mathrm{Ni(OH)_2 \rightleftharpoons Ni^{2+} + 2OH^-}\), \(K_{sp}=[\mathrm{Ni^{2+}}][\mathrm{OH^-}]^2\).

Let solubility be \(s\): \(s=[\mathrm{Ni^{2+}}]\), \([\mathrm{OH^-}]\approx0.1\) M.

$$s=\frac{K_{sp}}{(0.1)^2}=\frac{2\times10^{-15}}{10^{-2}}=2\times10^{-13}\ \mathrm{M}$$

Option (1) is correct.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report
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