Question

State the following:
Kohlrausch law of independent migration of ions 

Hint:

Kohlrausch's law helps in understanding the individual contributions of ions to the overall conductivity in solutions, especially at infinite dilution.

Answer 1

Kohlrausch's Law of Independent Migration of Ions 

The Kohlrausch law of independent migration of ions states that the molar conductivity of an electrolyte at infinite dilution is the sum of the individual contributions from its cation and anion.

This implies that each ion contributes independently to the total conductivity, and the total can be obtained by simply adding the limiting molar conductivities of each ion.

Mathematical Expression:

\[ \Lambda_m^\infty = \lambda_+^\infty + \lambda_-^\infty \]

Where:

• \( \Lambda_m^\infty \): Molar conductivity at infinite dilution
• \( \lambda_+^\infty \): Limiting molar conductivity of the cation
• \( \lambda_-^\infty \): Limiting molar conductivity of the anion

This law is particularly useful for calculating unknown molar conductivities and analyzing electrolyte behavior in dilute solutions.