Kohlrausch’s Law states that the limiting molar conductivity of an electrolyte is the sum of the limiting molar conductivities of its constituent ions, i.e.
\[
\Lambda^\circ_{\text{m}} = \Lambda^\circ_{\text{m}} (\text{cation}) + \Lambda^\circ_{\text{m}} (\text{anion})
\]
Applications:
1. It helps in determining the dissociation constant of weak electrolytes.
2. It can be used to calculate the molar conductivity at any concentration for electrolytes.