What is the molar conductivity of $0.05 \mathrm{M}$ solution of sodium hydroxide, if its conductivity is $0…

What is the molar conductivity of $0.05 \mathrm{M}$ solution of sodium hydroxide, if its conductivity is $0.0118 \mathrm{~S} \mathrm{~cm}^{-1}$ at $298 \mathrm{~K}$ ?
  1. $236 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$
  2. $423 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$
  3. $354\mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$
  4. $590 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$

Solution

$\begin{aligned} & \mathrm{M}=0.05, \mathrm{k}(\text { conductivity })=0.0118 \mathrm{Scm}^{-1} \\ & \Lambda_{\mathrm{m}}=\frac{\mathrm{k} \times 1000}{\mathrm{M}} \\ & \Lambda_{\mathrm{m}}=\frac{0.0118 \times 1000}{0.05} \\ & \Lambda_{\mathrm{m}}=236 \mathrm{Scm}^2 \cdot \mathrm{mol}^{-1}\end{aligned}$

Asked in: MHT CET 2021 (20 Sep Shift 1)

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