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Question: Answered & Verified by Expert
An organic monobasic acid has dissociation constant $2.25 \times 10^{-6}$. What is percent dissociation in its $0.01 \mathrm{M}$ solution?
ChemistryElectrochemistryMHT CETMHT CET 2023 (14 May Shift 2)
Options:
  • A $1.5 \%$
  • B $15 \%$
  • C $5 \%$
  • D $0.5 \%$
Solution:
1359 Upvotes Verified Answer
The correct answer is: $1.5 \%$
$\mathrm{K}_{\mathrm{a}}=2.25 \times 10^{-6}$
For a weak monobasic acid,
$\begin{aligned}
\alpha=\sqrt{\frac{\mathrm{K}_{\mathrm{a}}}{\mathrm{c}}}=\sqrt{\frac{2.25 \times 10^{-6}}{0.01}}=\sqrt{2.25 \times 10^{-4}}=0.015 \\
\therefore \quad \text { Percent dissociation }=\alpha \times 100 \\
=0.015 \times 100=1.5 \%
\end{aligned}$

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