The electrical resistance of a column of 0.05 M NaOH solution of area 0.8 cm^2 and length 40 cm is 5 × 10^3 ohm. Calculate its resistivity,…

$\displaystyle \rho = \dfrac{RA}{l}$$\displaystyle = \dfrac{5 \times 10^{3} \times 0.8}{40}$$\displaystyle = 100\ \Omega\ \text{cm}$$\displaystyle \kappa = \dfrac{1}{\rho}$$\displaystyle = \dfrac{1}{100}$$\displaystyle = 10^{-2}\ \text{S cm}^{-1}$$\displaystyle \mathbf{\Lambda}_m = \dfrac{\kappa \times 1000}{C}$$\displaystyle = \dfrac{10^{-2} \times 1000}{0.05}$$\displaystyle = 2 \times 10^{2}\ \text{S cm}^{2}\ \text{mol}^{-1}$