What is the $pH$ at which $Mg(OH)_2$ starts to precipitate from a solution containing $0.1 \ M \ Mg^{2+}$ ions? (Given $K_{sp}$ for $Mg(OH)_2 = 1.0 \times 10^{-11}$)

The solubility of $CaCO_3$ is $7 \times 10^{-5} \ mol \ dm^{-3}$ at $25^{\circ} C$. What is its solubility product at same temperature?

The solubility product of $NiS$ is $4.9 \times 10^{-5}$ at $298 \ K$. Calculate its solubility in $mol \ dm^{-3}$ at the same temperature?

The solubility of a salt $A_2B_3$ is $10^{-3} \ M$. What will be its solubility product?

For $AgCl$,$K_{sp} = 1.2 \times 10^{-10}$ and for $AgBr$,$K_{sp} = 3.5 \times 10^{-13}$. What is the relationship between their solubilities $(S)$?

The solubility of silver chromate is $1.992 \times 10^{-2} \ g/L$. The molar mass of $Ag_2CrO_4$ is $332 \ g/mol$. What is the molar concentration of $Ag^{+}$ in a saturated solution of $Ag_2CrO_4$?