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MHT CET · Chemistry · Ionic Equilibrium

The dissociation constant of a weak monobasic acid is \(3.2 \times 10^{-4}\). Calculate the degree of dissociation in its 0.04 M solution.

  1. A 0.0128
  2. B 0.0151
  3. C 0.078
  4. D 0.089
Verified Solution

Answer & Solution

Correct Answer

(D) 0.089

Step-by-step Solution

Detailed explanation

\(\mathrm{K}_{\mathrm{a}}=3.2 \times 10^{-4} ; \mathrm{c}=0.04 \mathrm{M}\)
For a monobasic acid,
\(\alpha=\sqrt{\frac{K_a}{c}}=\sqrt{\frac{3.2 \times 10^{-4}}{0.04}}=\sqrt{8 \times 10^{-3}}=0.089\)