When a certain conductivity cell was filled with 0.05 M KCl solution, it has a resistance of 100 ohm at 25°C. When the same cell was filled with 0.02…

Cell constant \(\displaystyle \left(\mathrm{G}^{*}\right)=\) Conductivity × Resistance \[\begin{aligned} & =1.35 \times 10^{-2} \times 100 \\ & =1.35 \mathrm{~cm}^{-1} \end{aligned} \] Cell constant \(\displaystyle \left(\mathrm{G}^{*}\right)=\) Conductivity × Resistance \[\begin{aligned} & 1.35 \mathrm{~cm}^{-1}=\mathrm{k} \times 90 \\ & 1.35 / 90=\mathrm{k} \\ & \mathrm{k}=0.015 \mathrm{Scm}^{-1} \end{aligned} \] Molar conductivity \(\displaystyle \left(\mathbf{\Lambda}_{\mathrm{m}}\right)=\mathrm{k} \times 1000 / \mathrm{C}\) \[\begin{aligned} & =\frac{0.015 \times 1000}{0.02} \\ & =750 \mathrm{Scm}^{2} / \mathrm{mol} \end{aligned} \]