A centimolar solution of weak acid is $1.3 \%$ dissociated at $298 \mathrm{~K}$. What is its dissociation…

A centimolar solution of weak acid is $1.3 \%$ dissociated at $298 \mathrm{~K}$. What is its dissociation constant?
  1. $1.3 \times 10^{-6}$
  2. $1.5 \times 10^{-6}$
  3. $1.9 \times 10^{-6}$
  4. $1.7 \times 10^{-6}$

Solution

$\begin{aligned} \mathrm{k}_{\mathrm{a}} & =\propto^2 \mathrm{C} \\ & =\left(\frac{1.3}{100}\right)^2 \times 0.01 \\ & =1.69 \times 10^{-6}\end{aligned}$

Asked in: MHT CET 2022 (10 Aug Shift 1)

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