Question

The solubility product of $\mathrm{Al}_2(\mathrm{SO}_4)_3$ is given by the expression}

• A. $\mathrm{[Al^{3+}][SO_4^{2-}]}$
• B. $\mathrm{[Al^{3+}]^2[SO_4^{2-}]}$
• C. $\mathrm{[Al^{3+}]^3[SO_4^{2-}]^2}$
• D. $\mathrm{[Al^{3+}]^2[SO_4^{2-}]^3}$

Hint:

$K_{sp}$ is product of ion concentrations raised to their stoichiometric coefficients.

Answer 1

The Correct Option is D

Step 1: Conceptual Understanding:
$K_{sp}$ is product of ion concentrations raised to their stoichiometric coefficients.
Step 2: Explanation in Detail:
$\mathrm{Al_2(SO_4)_3 \rightleftharpoons 2Al^{3+} + 3SO_4^{2-}}$, so $K_{sp} = [\mathrm{Al^{3+}}]^2[\mathrm{SO_4^{2-}}]^3$.
Step 3: Therefore, Stating the Final Answer
$K_{sp} = [\mathrm{Al^{3+}}]^2[\mathrm{SO_4^{2-}}]^3$.