Q7 / 59 · KVPY 2013 (SA) · Chemistry

The degree of dissociation of acetic acid $\left(0.1 \mathrm{~mol} \mathrm{~L}^{-1}\right)$ in water $\left(\mathrm{K}_{\mathrm{a}}\right.$ of acetic acid is $\left.10^{-5}\right)$ is

  • Correct answer
    A
    $0.01$
  • B
    $0.5$
  • C
    $0.1$
  • D
    $1.0$

Solution

$\begin{array}{ll}\mathrm{C}=0.1 \mathrm{M} & \mathrm{K}_{\mathrm{a}}=10^{-5} \\ \mathrm{~K}_{\mathrm{a}}=\alpha^{2} \mathrm{C} \\ 10^{-5}=\alpha^{2} \times 0.1 & \alpha^{2}=10^{-4} \\ & \alpha=10^{-2}\end{array}$

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

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