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
