Chemistry - Ionic Equilibrium Question with Solution | TestHub

A solution contains $0.01\mathrm{M}{\mathrm{Mg}}^{+2}$ and $0.1\mathrm{M}{\mathrm{Sr}}^{+2}$ and ${\mathrm{H}}_2{\mathrm{CO}}_3$ maintained at 0.05 M . At what minimum $\mathrm{pH}(\mathrm{X})$ & maximum $\mathrm{pH}(\mathrm{Y})$ will ${\mathrm{SrCO}}_3$ will precipitate without any precipitation of ${\mathrm{MgCO}}_3$.

[Given: $K_{sp{MgCO}_3}=2.5\times 10^{-7}$, $K_{sp{SrCO}_3}=9\times 10^{-9}$, $$\begin{gathered} K_{a\left(overall)H_2{CO}_3\right)}=5 \\ \times 10^{-16} \end{gathered}$$, ${\log }_{}5=0.7,{\log }_{}3=0.5]$, $log5=0.7$, $log3=0.5$]. Express your answer as $X+Y$.