# explain the relation between conductivity and molar conductivity of a solution?

$\lambda$m=K x 1000/M

K=kappa=conductivity

M=molarity

Molar conductivity:

Molar conductivity of a solution at a given concentration is the conductance of volume V of a solution containing 1 mole of the electrolyte kept between two electrodes with the area of cross-section A and distance of unit length.

Now, l = 1 and A = V (volume containing 1 mole of the electrolyte).

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.

The variation of withfor strong and weak electrolytes is shown in the following plot:

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