Calculate the conductivity of $0.02 \mathrm{M}$ electrolyte solution if its molar conductivity is $407.2…

Calculate the conductivity of $0.02 \mathrm{M}$ electrolyte solution if its molar conductivity is $407.2 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$ ?
  1. $8.144 \times 10^{-3} \Omega^{-1} \mathrm{~cm}^{-1}$
  2. $4.072 \times 10^{-3} \Omega^{-1} \mathrm{~cm}^{-1}$
  3. $7.15 \times 10^{-3} \Omega^{-1} \mathrm{~cm}^{-1}$
  4. $6.055 \times 10^{-3} \Omega^{-1} \mathrm{~cm}^{-1}$

Solution

$\begin{aligned} \Lambda_{\mathrm{m}} & =\frac{1000 \mathrm{k}}{\mathrm{c}} \\ \mathrm{k} & =\frac{\Lambda_{\mathrm{m}} \times \mathrm{c}}{1000}=\frac{407.2 \times 0.02}{1000} \\ & =8.144 \times 10^{-3} \Omega^{-1} \mathrm{~cm}^{-1}\end{aligned}$

Asked in: MHT CET 2023 (10 May Shift 2)

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