An organic monobasic acid has dissociation constant $2.25 \times 10^{-6}$. What is percent dissociation in…

An organic monobasic acid has dissociation constant $2.25 \times 10^{-6}$. What is percent dissociation in its $0.01 \mathrm{M}$ solution?
  1. $1.5 \%$
  2. $15 \%$
  3. $5 \%$
  4. $0.5 \%$

Solution

$\mathrm{K}_{\mathrm{a}}=2.25 \times 10^{-6}$ For a weak monobasic acid, $\begin{aligned} \alpha=\sqrt{\frac{\mathrm{K}_{\mathrm{a}}}{\mathrm{c}}}=\sqrt{\frac{2.25 \times 10^{-6}}{0.01}}=\sqrt{2.25 \times 10^{-4}}=0.015 \\ \therefore \quad \text { Percent dissociation }=\alpha \times 100 \\ =0.015 \times 100=1.5 \% \end{aligned}$

Asked in: MHT CET 2023 (14 May Shift 2)

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