Electrolytes conduct electricity by decomposition.
If voltage v is applied to the ends of the conductor and current “I” flows through it, then the resistance “R” of the conductor is V/I (ohm).
The reciprocal of electrical resistance is called conductance. And is represented by G sign
Thus, G = 1/R [unit of G = mho]
Specific resistance or Resistivity:- it is observed that where r is constant and called resistivity.
Specific conductance or conductivity:-
The reciprocal of resistivity is known as conductivity and is denoted by k (kappa).
Equivalent conductivity of a solution at a dilution v is defined as the conductance of all the ions produced from one gram equivalent of the electrolyte dissolved in v cm3 of the solution when the distance between the electrode is one cm and the area of the electrode is so large then whole the solution has come between them.
Where c is molar concentration.
Kohlrausch law: –
The limiting molar conductivity of an electrolyte i.e. molar conductivity at infinite dilution is the sum of the limiting ionic conductivities of the cation and the anion each multiplied with the number of ions present in one formula unit of the electrolyte.
Kohlrausch law in terms of equivalent conductivity:-
The equivalent conductivity of an electrolyte at infinite dilution is the sum of two values one depends upon cation and other upon anion.