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Chemistry · EQUILIBRIUM

हिन्दी

An aqueous buffer solution contains 0.25 M \( \text{NH}_4\text{Cl} \) and 0.10 M \( \text{NH}_3 \). If the dissociation constant of ammonia is \( K_b = 1.80 \times 10^{-5} \) and \( K_w = 1.0 \times 10^{-14} \), the hydrogen ion concentration \( [\text{H}^+] \) in the solution is:

  1. A
    \( 1.39 \times 10^{-9}\text{ M} \)
  2. B
    \( 7.20 \times 10^{-6}\text{ M} \)
  3. C
    \( 2.78 \times 10^{-9}\text{ M} \)
  4. D
    \( 5.56 \times 10^{-10}\text{ M} \)
View Answer & Solution

Correct answer · Option A

\( 1.39 \times 10^{-9}\text{ M} \)

Explanation

\( [\text{OH}^-] = K_b \times \frac{[\text{NH}_3]}{[\text{NH}_4^+]} = 1.80 \times 10^{-5} \times \frac{0.10}{0.25} = 7.20 \times 10^{-6}\text{ M} \). Therefore, \( [\text{H}^+] = \frac{1.0 \times 10^{-14}}{7.20 \times 10^{-6}} = 1.39 \times 10^{-9}\text{ M} \).
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