Question

Express the relation between conductivity and molar conductivity of a solution held in a cell?

Answer 1

∧m=K×1000/M
K=kappa=conductivity
M=molarity
Molar conductivity:Molar conductivity of a solution is given by concentration of volume of a solution containing 1 mole of the electrolyte kept between two electrodes with the area of cross-section A & distance of unit length.
∧m=kA/l
Now,l=1 & A=V(Volume containing 1 mole of the electrolyte.)
Therefore;∧m=kV
Molar conductivity increases with a decrease in concentration.This is because the total volume V of the solution containing one mole of the electrolyte increases on dilution.

Answer 2

Answer:

Ʌm = К/c

Here, c = concentration in moles per volume, К = specific conductivity and Ʌm = molar conductivity. As the solution contains only one mole of electrolyte, the above equation can be modified as:

Ʌm = КV