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At $300 \mathrm{~K}$, the conductivity of $0.01 \mathrm{~mol} \mathrm{dm}^{-3}$ aqueous solution of acetic acid is $19.5 \times 10^{-5} \mathrm{mho}^{-1}$ and limiting molar conductivity of acetic acid at the same temperature is $390 \mathrm{mho} \mathrm{cm}^2 \mathrm{~mol}^{-1}$. The degree dissociation of acetic acid is
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$5.0 \times 10^{-2}$
$\begin{aligned} & \text { Degree of dissociation }(\alpha)=\frac{\Omega_{\mathrm{m}}}{\Omega_{\mathrm{m}}^\sigma} \\ & \text { Now, } \Omega_{\mathrm{m}}=\frac{\mathrm{K} \times 1000}{\mathrm{C}}=\frac{19.5 \times 10^{-5} \times 1000}{0.01} \\ & =19.5 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1} . \\ & \Rightarrow \alpha=\frac{19.5}{390}=0.05=5.0 \times 10^{-2}\end{aligned}$
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