222. How is cell constant related to specific conductance of electrolyte?

The resistance of any conductor varies directly as its length (l) and inversely as its cross-sectional area (A), i.e.,

Mathematically 

Where ρ is called the specific resistance.

l/A is known as cell constant.

If l = 1 cm and A = 1 cm², then

R = ρ 

The specific resistance is, thus defined as the resistance of one-centimetre cube of a conductor.

The reciprocal of specific resistance is termed the specific conductance or it is the conductance of one-centimetre cube of a conductor.

It is denoted by the symbol κ.

Thus, 

Where (κ) kappa →  the specific conductance             

Specific conductance is also called conductivity.

Further,

or  Specific conductance = Conductance × cell constant

In the case of electrolytic solutions, the specific conductance is defined as the conductance of a solution of definite dilution enclosed in a cell having two electrodes of unit area separated by one centimetre apart.

Unit of specific conductance: Ω^-1  cm^-1