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NEETChemistryIonic Equilibrium

The pH of a 0.05 ~M aqueous solution of a weak monoprotic acid is 3 . The acid dissociation constant (K_ a ) of this weak acid is :

Options

  1. A2 10⁻⁵
  2. B2 10⁻²
  3. C1 10⁻⁶
  4. D1 10⁻³

Correct answer

A. 2 10⁻⁵

Step-by-step solution

Given, concentration of the weak acid, C = 0.05 ~M pH = 3 We know that, pH = - [ H ^+] [ H ^+] = 10^ - pH = 10⁻³ ~M For a weak monoprotic acid, the acid dissociation constant K_ a is approximated by: K_ a = [ H ^+]^2 C K_ a = (10⁻³)^2 0.05 = 10⁻⁶ 5 10⁻² K_ a = 0.2 10⁻⁴ = 2 10⁻⁵ Answer: 2 10⁻⁵

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