Electrical Conductivity of an Electrolyte

The current passing through and electrolyte is given by  I = E – e/R where E is the applied emf.
If l is the length of the electrolyte through which the current passes and a is the area of cross-section and a is the area of cross – sections of the electrodes then, R ∞ 1/a or R = p 1/a where p is the specific resistivity of the electrolyte.

p = (Ra/l) ohm-meter.
The reciprocal of the specific resistivity is called specific conductivity σ of the electrolyte.
σ = 1/p ohm-1 m -1
The equivalent conductivity (λ) of an electrolyte is defined as the ratio of the specific conductivity σ to the concentration C. λ = σ/C.