Kohlrahausch’s Law of Independent Migration of Ions

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Kohlrahausch’s Law of Independent Migration of Ions

Kohlrausch’s Law of Independent Migration of Ions states that each ion in a solution contributes independently to the total conductivity of the solution. Mathematically, it can be expressed as:

Λm=λ+0+λ−0\Lambda_m = \lambda^0_+ + \lambda^0_-Λm​=λ+0​+λ−0​

where:

  • Λm\Lambda_mΛm​ is the molar conductivity of the electrolyte at infinite dilution.
  • λ+0\lambda^0_+λ+0​ is the limiting molar conductivity of the cation at infinite dilution.
  • λ−0\lambda^0_-λ−0​ is the limiting molar conductivity of the anion at infinite dilution.

This law implies that the total molar conductivity of an electrolyte at infinite dilution is the sum of the contributions of its individual ions, and these contributions are independent of each other. This principle is particularly useful for calculating the molar conductivities of weak electrolytes and for understanding the behavior of ions in solution.

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