Answer : The value equilibrium constant [tex](K_{eq})[/tex] for net ionic reaction is, [tex]5.84\times 10^{12}[/tex]
Explanation :
The dissociation reaction of [tex]Ni(OH)_2[/tex] is :
[tex]Ni(OH)_2(s)\rightleftharpoons Ni^{2+}(aq)+2OH^-(aq)[/tex] [tex]K_{sp}=5.84\times 10^{-16}[/tex]
The dissociation reaction of [tex]H_2O[/tex] is:
[tex]2H_2O(l)\rightleftharpoons 2H^{+}(aq)+2OH^-(aq)[/tex] [tex]K_{w}=1.00\times 10^{-14}[/tex]
The balanced Net ionic equation is:
[tex]Ni(OH)_2(s)+2H_3O^+(aq)\rightarrow 4H_2O(l)+Ni^{2+}(aq)[/tex]
Now we have to calculate the value equilibrium constant [tex](K_{eq})[/tex] for net ionic reaction.
[tex]K_{eq}=\frac{K_{sp}}{(K_w)^2}[/tex]
Now put all the given values in this expression, we get:
[tex]K_{eq}=\frac{5.84\times 10^{-16}}{(1.00\times 10^{-14})^2}[/tex]
[tex]K_{eq}=5.84\times 10^{12}[/tex]
Thus, the value equilibrium constant [tex](K_{eq})[/tex] for net ionic reaction is, [tex]5.84\times 10^{12}[/tex]