Resistance of a conductivity cell filled with 0.2 mol L^-1 KCl solution is 200 Ω. If the resistance of the same cell when filled with 0.05 mol L^-1…

Resistance of a conductivity cell filled with $\displaystyle 0.2 \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{KCl}$ solution is $\displaystyle 200 \Omega$. If the resistance of the same cell when filled with $\displaystyle 0.05 \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{KCl}$ solution is $\displaystyle 620 \Omega$, calculate the conductivity and molar conductivity of $\displaystyle 0.05 \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{KC} l$ solution. The conductivity of $\displaystyle 0.2 \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{KC} l$ solution is $\displaystyle 0.0248 \mathrm{~S} \mathrm{~cm}^{-1}$.