Express the relation among cell constant, resistance of the solution in the cell and conductivity of the solution. How is molar conductivity of a solution related to its conductivity?
OR
The molar conductivity of a 1.5 M solution of an electrolyte is found to be 138.9 S cm² mol^-1. Calculate the conductivity of this solution.

Let conductance of the solution in the cell be C. Its conductivity and cell constants be κ and G^* respectively.

∴ κ = CG^*

We know, resistance R is

So, G^* = Rκ

Conductivity of an electrolytic solution is represented by κ and its molarity by M.

So, molar conductivity and conductivity of an electrolytic solution are represented through this equation:

Molar conductivity =

So, molar conductivity is defined as the conductivity of an electrolyte solution divided by the molar concentration of the electrolyte.

Conductivity of an electrolytic solution, κ is called kappa.

OR

Given, molar conductivity(C) is 138.9 S cm² mol^-1 = S m²mol^-1.

Also concentration given is 1.5[M].

As we know, conductivity (κ) = molar conductivity(C) × concentration (c)

∴ κ = = 0.0208 S m^-1.

So, conductivity of the solution is 0.0208 S m^-1.