The conductivity of 0.02 M solution of $\mathrm{AgNO}_3$ is $0.00216 \Omega^{-1} \mathrm{~cm}^{-1}$ at 298 K…

The conductivity of 0.02 M solution of $\mathrm{AgNO}_3$ is $0.00216 \Omega^{-1} \mathrm{~cm}^{-1}$ at 298 K . What is its molar conductivity?
  1. $232.0 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$
  2. $402.0 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$
  3. $108.0 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$
  4. $150.0 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$

Solution

$\begin{aligned} \Lambda & =\frac{1000 \mathrm{k}}{\mathrm{c}}=\frac{1000 \mathrm{~cm}^3 \mathrm{~L}^{-1} \times 0.00216 \Omega^{-1} \mathrm{~cm}^{-1}}{0.02 \mathrm{~mol} \mathrm{~L}^{-1}} \\ & =108.0 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}\end{aligned}$

Asked in: MHT CET 2024 (15 May Shift 2)

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