The molar conductivity of a solution at a given concentration is the conductance of the volume of solution containing one mole of electrolyte kept between two electrodes with the unit area of cross-section and distance of unit length. The molar conductivity of a solution increases with the decrease in concentration. This increase in molar conductivity is because of the increase in the total volume containing one mole of the electrolyte. When the concentration of the electrolyte approaches zero, the molar conductivity is known as limiting molar conductivity, Emdegree.

Kohlrausch's Law, also known as the law of independent migration of ions, is applicable to electrolytic solutions at infinite dilution. Let's understand this in detail:

1. Definition of Kohlrausch's Law:
- Kohlrausch's Law states that the limiting molar conductivity of an electrolyte at infinite dilution is equal to the sum of the limiting molar conductivities of its constituent ions.
- In simpler terms, it relates the conductivity of an electrolytic solution to the concentration of ions present in the solution.

2. Electrolytes at Infinite Dilution:
- Infinite dilution refers to a state where the concentration of the electrolyte is extremely low, approaching zero.
- At infinite dilution, the electrolyte is completely dissociated into its constituent ions, and the conductance of the solution is solely due to the movement of these ions.

3. Applicability of Kohlrausch's Law:
- Kohlrausch's Law is applicable to electrolytic solutions at infinite dilution because at this stage, the conductance of the solution is solely determined by the movement of ions.
- The law states that the limiting molar conductivity of an electrolyte at infinite dilution is given by the sum of the limiting molar conductivities of its constituent ions.
- This implies that the conductivity of the solution can be determined by considering the contributions of individual ions.

4. Not Applicable to Aqueous Solution of Strong Electrolytes:
- Aqueous solutions of strong electrolytes are not considered to be at infinite dilution because they have a significant concentration of ions.
- In these solutions, the conductance is not solely determined by the movement of ions but also by other factors such as ion-ion interactions and solvent effects.
- Therefore, Kohlrausch's Law is not applicable to aqueous solutions of strong electrolytes.

5. Not Applicable to Electrolytes Dissolved in a Solvent of Low Polarity Only:
- Kohlrausch's Law is not limited to electrolytes dissolved in a solvent of low polarity only.
- It is applicable to electrolytes dissolved in any solvent, as long as the solution is at infinite dilution.
- The law focuses on the behavior of ions rather than the nature of the solvent.

6. Not Limited to Temperature Above Room Temperature:
- Kohlrausch's Law is not restricted to electrolytes at temperatures above room temperature.
- It is applicable at any temperature, as long as the solution is at infinite dilution.
- The law describes the behavior of ions in solution and is independent of the temperature.

In conclusion, Kohlrausch's Law is applicable to electrolytic solutions at infinite dilution. It describes the relationship between the conductivity of the solution and the movement of ions. The law is not limited to a specific solvent polarity or temperature range.