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Chemistry Question on Solubility Equilibria Of Sparingly Soluble Salts

The solubility product of As2O3As _{2} O _{3} is 10.8×10−910.8 \times 10^{-9}. It is 50%50 \% dissociated in saturated solution. The solubility of salt is

A

10−210^{-2}

B

2×10−2 2\times 10^{-2}

C

5×10−3 5\times 10^{-3}

D

5.4×10−9 5.4\times 10^{-9}

Answer

2×10−2 2\times 10^{-2}

Explanation

Solution

As2O3⇌2As3++3O2−As _{2} O _{3} \rightleftharpoons 2 As ^{3+}+3 O ^{2-} Ksp=(2S)2(3S)3K_{s p} =(2 S)^{2}(3 S)^{3} 10.8×10−9=108S310.8 \times 10^{-9} =108 S^{3} S=10−2S =10^{-2} If dissociation is 50%50 \% then solubility is 2×10−2mol/L2 \times 10^{-2} mol / L.