Question:

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

Updated On: Sep 26, 2024
  • $10^{-2}$
  • $ 2\times 10^{-2}$
  • $ 5\times 10^{-3}$
  • $ 5.4\times 10^{-9}$
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The Correct Option is B

Solution and Explanation

$As _{2} O _{3} \rightleftharpoons 2 As ^{3+}+3 O ^{2-}$ $K_{s p} =(2 S)^{2}(3 S)^{3}$ $10.8 \times 10^{-9} =108 S^{3}$ $S =10^{-2}$ If dissociation is $50 \%$ then solubility is $2 \times 10^{-2} mol / L$.
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Concepts Used:

Sparingly Soluble Salts

A sparingly soluble salt is so-called because when it is dissolved into a solvent, only a very small amount of the salt goes into the solution, and most of it remains undissolved. The solution becomes saturated with that little amount of salt dissolved, and the salt immediately dissociates into its ions.

Quantitatively, a solute is sparingly soluble if 0.1g (or less than that) of the solute is dissolved in 100ml of the solvent.