Q36 / 150 · MHT CET 2024 (03 May Shift 2) · Chemistry

Calculate ' $\alpha$ ' for 0.1 M acetic acid $\left(\mathrm{K}_{\mathrm{a}}=1.0 \times 10^{-5}\right)$

  • Correct answer
    A
    $10^{-2}$
  • B
    $10^{-3}$
  • C
    $10^{-4}$
  • D
    $10^{-5}$

Solution

For a weak acid HA, $\alpha$ is very small, or $\begin{aligned} & (1-\alpha) \cong 1 \\ & \therefore \quad \alpha=\sqrt{\frac{\mathrm{K}_{\mathrm{a}}}{\mathrm{c}}}=\sqrt{\frac{1.0 \times 10^{-5}}{0.1}}=10^{-2} \end{aligned}$

Hence, the correct answer is option: 'A'.

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