Question

The solubility product of $A_2{X}_3$ is $1.08\times {10}^{-23}$, its solubility will be:

• A. $1\times {10}^{-3}$
• B. $1\times {10}^{-6}$
• C. $1\times {10}^{-4}$
• D. $1\times {10}^{-5}$

Answer 1

The correct option is D $1\times {10}^{-5}$

$A_2{X}_3\rightleftharpoons 2A^{3+}+3X^{2-}2S3S{K}_{sp}=\left[2S{]}^2\right[3S{]}^3=2^2.3^3.S^5\Rightarrow S={\left(\frac{1.08\times {10}^{-23}}{108}\right)}^{\frac{1}{5}}=1\times {10}^{-5}$