The solubility of \(A_2 X_3\) is ' \(y\) ' M. Its solubility product is \(\mathrm{M}^5\).
The solubility of \(A_2 X_3\) is ' \(y\) ' M. Its solubility product is \(\mathrm{M}^5\).
\(6 y^4\)
\(64 y^4\)
\(36 y^5\)
\(108 y^5\)
Solution
For a sparingly soluble salt of molecular formula \(A_2 X_3\), if solubility in pure water is \(y \mathrm{M}\) at a given temperature,
\(\begin{aligned}
A_2 X_3 ightleftharpoons & 2 A^{3+}+3 X^{2-} \\
& 2 y \mathrm{M} \quad 3 y \mathrm{M}
\end{aligned}\)
Solubility product, \(K_{\mathrm{sp}}=\left[A^{3+}ight]^2\left[X^{2-}ight]^3=(2 y)^2+(3 y)^3\)
\(=4 y^2+27 y^3=108 y^5 \mathrm{M}^5\)