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Molar conductivity is the thermal conductivity property of a solution containing one mole of electrolyte, or it is a function of a solution's ionic strength or salt concentration. As a result, it is not a constant.
In other words, molar conductivity is the total conducting power of all the ions formed when a mole of electrolyte is dissolved in a solution. Molar conductivity is a property of an electrolyte solution that is primarily used to determine a given electrolyte's efficiency in conducting electricity in a solution. As a result, it is not a constant.