Question

express the relationship between the conductivity of a solution in the cell, the cell constant and the resistance of solution in the cell.

Answer 1

​κ = G*/R
Where κ is the conductivity of the solution
G* is the cell constant and G* =$\frac{l}{A}$
l is the distance between the electrodes and
A is the area of cross-section of the electrodes.
R is the resistance of the solution

The electrical conductivity of a solution of an electrolyte is directly proportional to distance between the electrodes and inversely proportional to the area of the electrode.
It is inversely proportional to the resistance of the solution between the electrodes.