The conductivity of $0.3 \mathrm{M}$ solution of $\mathrm{KCl}$ at $298 \mathrm{~K}$ is $0.0627 \mathrm{~S}…

The conductivity of $0.3 \mathrm{M}$ solution of $\mathrm{KCl}$ at $298 \mathrm{~K}$ is $0.0627 \mathrm{~S} \mathrm{~cm}^1$. What is its molar conductivity?
  1. $104 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$
  2. $188 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$
  3. $209 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$
  4. $109 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$

Solution

$\begin{aligned} & \Lambda_{\mathrm{m}}=\frac{\mathrm{k} \times 1000}{\mathrm{M}} \\ & \mathrm{k}=0.0627 \mathrm{~S} \mathrm{~cm}^1 \\ & \mathrm{M}=0.3 \\ & =\frac{0.0627 \times 1000}{0.3} \\ & =209 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}\end{aligned}$

Asked in: MHT CET 2021 (23 Sep Shift 2)

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