State Kohlrausch's Law for the independent migration of ions. Mention the applications of the Law.

Explanation

Kohlrausch’s law of independent migration of ions: It states that limiting molar conductivity of an electrolyte can be represented as the sum of the individual contributions of the anion and cation of the electrolyte.
If `lamda_(Na^(+))^(@)` and `lambda_(Cl^(-))^(@)` are limiting molar conductivities of the sodium and chloride ions respectively then the limiting molar conductivity for sodium chloride is given by `wedge_(m)^(@)(NaCl) = lambda_(Na^(+))^(@)+ lamda_(Cl^(-))^(@)`
Kohlrausch’s helps in the calculation of degree of dissociation of weak electrolyte like acetic acid.
The degree of dissociation is given by
`alpha = (wedge_(m))/(wedge_(m)^(@))`
where, `wedge_(m)` is the molar conductivity and `wedge_(m)^(@)` is the limiting molar conductivity.