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The cell constant, resistance of the solution in the cell, and conductivity of the solution are related through the equation:
Conductivity(κ)=1Cell Constant(Λ)×1Resistance of solution in cell(R)Conductivity(κ)=Cell Constant(Λ)1×Resistance of solution in cell(R)1
Where:
This equation indicates that conductivity is inversely proportional to the product of the cell constant and the resistance of the solution in the cell. Essentially, as conductivity increases, resistance decreases, and vice versa. The cell constant is a property of the conductivity cell used in the measurement, and it relates the geometry of the cell to the conductivity of the solution being measured.
The conductivity of a solution (κκ) is related to its molar conductivity (ΛmΛm) through the equation:
κ=Λm×Cκ=Λm×C
Where:
This equation shows that the conductivity of a solution is directly proportional to its molar conductivity and concentration. Molar conductivity is a measure of the conductivity of a solution containing one mole of solute per liter, and it accounts for the contribution of each ion to the solution's conductivity.
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