Chemistry - Ionic Equilibrium Question with Solution | TestHub

$\mathrm{\alpha }=1$ for $\mathrm{NaOH}$

${\mathrm{NaOH}}_{\left(\mathrm{aq}\right)}\to \underset{0.1\mathrm{M}}{{\mathrm{Na}}^{+}}\left(\mathrm{aq}\right)+\underset{0.1\mathrm{M}}{{\mathrm{OH}}^{-}}\left(\mathrm{aq}\right)$

$\mathrm{Ni}{\left(\mathrm{OH}\right)}_2\left(\mathrm{s}\right)\rightleftharpoons \underset{{\mathrm{s}}^{\text{'}}}{{\mathrm{Ni}}^{+2}}\left(\mathrm{aq}\right)+\underset{0.1+2{\mathrm{s}}^{\text{'}}}{2{\mathrm{OH}}^{-}}\left(\mathrm{aq}\right)$

Ionic product $=\left({\mathrm{s}}^{\text{'}}\right){\left(0.1+2{\mathrm{s}}^{\text{'}}\right)}^2$

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

${\mathrm{s}}^{\text{'}}=2\times {10}^{-13} \mathrm{M}$