The conductivity of 0.02 M KCl , solution is $0.00250 \mathrm{ohm}^{-1} \mathrm{~cm}^{-1}$. What is its…

The conductivity of 0.02 M KCl , solution is $0.00250 \mathrm{ohm}^{-1} \mathrm{~cm}^{-1}$. What is its molar conductivity?
  1. $125 \mathrm{ohm}^{-1} \mathrm{~cm}^{-2} \mathrm{~mol}^{-1}$
  2. $0.05 \mathrm{ohm}^{-1} \mathrm{~cm}^{-2} \mathrm{~mol}^{-1}$
  3. $725 \mathrm{ohm}^{-1} \mathrm{~cm}^{-2} \mathrm{~mol}^{-1}$
  4. $8000 \mathrm{ohm}^{-1} \mathrm{~cm}^{-2} \mathrm{~mol}^{-1}$

Solution

$\begin{aligned} & \text { Molar conductivity } \begin{aligned} & =\frac{1000 \mathrm{k}}{\mathrm{c}} \\ & =\frac{1000 \mathrm{~cm}^3 \mathrm{~L}^{-1} \times 0.00250 \Omega^{-1} \mathrm{~cm}^{-1}}{0.02 \mathrm{molL}^{-1}} \\ = & 125 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}\end{aligned}\end{aligned}$

Asked in: MHT CET 2024 (11 May Shift 1)

Practice more Electrochemistry questions on Aicharya