Express the relation among cell constant, resistance of the solution in the cell and conductivity of the solution. How is molar conductivity of a solution related to its conductivity?

The relationship between cell constant, resistance of the solution in the cell, and conductivity of the solution can be expressed by the formula:

Conductivity (K) = Cell Constant (G*) / Resistance (R)

Here,

• Conductivity (K) is the measure of a solution's ability to conduct electricity.
• The Cell Constant (G*) is a property of the cell and is equal to the distance between the electrodes divided by the area of the electrodes.
• Resistance (R) is the opposition to the flow of electric current, resulting in the generation of heat.

The molar conductivity of a solution is related to its conductivity through the equation:

Molar Conductivity (Λ) = Conductivity (K) / Concentration (C)

Here,

• Molar Conductivity (Λ) is the conducting power of all the ions produced by one mole of an electrolyte.
• Concentration (C) is the amount of solute in a given amount of solvent.

So, the molar conductivity increases with the decrease in concentration of the solution. This is because as the concentration decreases, the number of ions per unit volume decreases, and hence the ions can move more freely. This increases the molar conductivity.