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MHT CET · Chemistry · Chemical Equilibrium

A weak base is \(1.42 \%\) dissociated in its \(0.05 \mathrm{M}\) solution. Calculate its dissociation constant.

  1. A \(5.5 \times 10^{-5}\)
  2. B \(4.0 \times 10^{-5}\)
  3. C \(1.8 \times 10^{-5}\)
  4. D \(1.0 \times 10^{-5}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(1.0 \times 10^{-5}\)

Step-by-step Solution

Detailed explanation

Percent dissociation \(=1.42 \%\)
\(\therefore \quad \alpha=0.0142\)
For a weak monoacidic base,
\(\begin{aligned}
\mathrm{K}_{\mathrm{b}} & =\alpha^2 \mathrm{C} \\
& =(0.0142)^2 \times(0.05) \\
& =1.0082 \times 10^{-5}
\end{aligned}\)