If the solubility product of $PbS$ is $3.4 \times 10^{-28}$,what is the minimum concentration of sulfide ions required to precipitate $PbS$ from a $0.001 \ M \ Pb^{2+}$ solution?

The solubility of $AgBr$ is $7.1 \times 10^{-7} \ mol \ dm^{-3}$. Calculate its solubility product at the same temperature.

According to the reaction $PbCl_2 \rightleftharpoons Pb^{2+} + 2Cl^-$,the solubility product constant $(K_{sp})$ of $PbCl_2$ is

The solubility of a salt of a weak acid $MX$ (e.g.,phosphoric acid salts) increases at lower $pH$. Explain with equations.

Derive the solubility product $(K_{sp})$ expression for the following sparingly soluble salts:
$(i)$ Two ions having $MX$ formula
$(ii)$ Three ions having $MX_{2}$ or $M_{2}X$ types
$(iii)$ Four ions having $AX_{3}$ or $A_{3}X$ type salts
$(iv)$ Five ions $A_{2}X_{3}$ or $A_{3}X_{2}$ type salts.

If the $K_{sp}$ of $AgCl$ is $10^{-10}$,what is the volume of the solution required to prepare a saturated solution of $1.43 \ g$ of $AgCl$? $[M.W. = 143]$