Which is the conductivity of $0.02 \mathrm{M} \mathrm{HCl}$ solution if molar conductivity of the solution…

Which is the conductivity of $0.02 \mathrm{M} \mathrm{HCl}$ solution if molar conductivity of the solution at $25^{\circ} \mathrm{C}$ is $412.3 \mathrm{C} \Omega^{-1} \mathrm{~cm}^{-2} \mathrm{~mol}^{-1}$ ?
  1. $8.880 \times 10^{-3} \Omega^{-1} \mathrm{~cm}^{-1}$
  2. $8.414 \times 10^{-3} \Omega^{-1} \mathrm{~cm}^{-1}$
  3. $8.624 \times 10^{-3} \Omega^{-1} \mathrm{~cm}^{-1}$
  4. $8.246 \times 10^{-3} \Omega^{-1} \mathrm{~cm}^{-1}$

Solution

$\begin{aligned} & \Lambda_{\mathrm{m}}=\frac{\mathrm{k} \times 1000}{\mathrm{M}} \\ & 412.3=\frac{\mathrm{k} \times 1000}{0.02} \\ & \mathrm{k}=\frac{412.3 \times 0.02}{1000} \\ & \mathrm{k}=8.246 \times 10^{-3} \Omega^{-1} \mathrm{~cm}^{-1}\end{aligned}$

Asked in: MHT CET 2021 (24 Sep Shift 2)

Practice more Electrochemistry questions on Aicharya