In a $0.2 \mathrm{M}$ aqueous solution, lactic acid is $6.9 \%$ dissociated. The value of dissociation…

In a $0.2 \mathrm{M}$ aqueous solution, lactic acid is $6.9 \%$ dissociated. The value of dissociation constant is
  1. $1.2 \times 10^{-4}$
  2. $9.5 \times 10^{-4}$
  3. $6.5 \times 10^{-4}$
  4. $3.6 \times 10^{-2}$

Solution

Given, $\alpha=6.9 \%$ $\therefore$ Degree of dissociation, $\alpha=\frac{6.9}{100}$ $\therefore \quad \alpha=0.069$ According to ostwald's dilution law, $\begin{aligned} & K_a=\alpha^2 C=(0.069)^2 \times 0.2 \\ & K_a=9.5 \times 10^{-4} \end{aligned}$

Asked in: MHT CET Full Test 10

Practice more Ionic Equilibria questions on Aicharya