Question

Mention the S.I unit of molar conductivity.

Answer 1

Hint: We should recall the concept of Molar Conductivity. Molar conductivity is the molar concentration of the electrolyte.

Complete step-by-step answer:
We should define molar conductivity as the conducting power of all the ions that are formed by dissolving a mole of electrolyte in a solution. Molar conductivity is the property of an electrolyte solution that is mainly used in determining the efficiency of a given electrolyte in conducting electricity in a solution. It is therefore not a constant.
In order to determine the S.I unit of molar conductivity, we should first know about the formula of molar conductivity.

\[\]\[Molar\text{ }Conductivity({{\Lambda }_{m}}~)=\dfrac{Specific\,Conductivity(k)}{Molar\,Concentration(C)}\]
Where we can define Specific conductivity as the property of materials due to which a material allows the flow of ions through itself and thus conducts electricity. It is generally defined as the reciprocal of resistance of that material. The SI unit of conductivity is Siemens per meter \[\left( \dfrac{S}{m} \right).\]
C =Molar concentration is the amount of a solute present in one unit of a solution.

Its units are\[\dfrac{mole}{L},\text{ }\dfrac{mole}{d{{m}^{3}}},\text{ or }\dfrac{mole}{{{m}^{3}}}\].
Molar concentration, also known as molarity, and can be denoted by the unit M.

If we take measure all the quantities in such a way that molar conductivity of an electrolytic solution is the conductance of the volume of the solution containing a unit mole of electrolyte that is placed between two electrodes of unit area cross-section or at a distance of one-centimetre apart. Then molar conductivity S.I unit will be
\[Molar\text{ }Conductivity({{\Lambda }_{m}}~)=\dfrac{\dfrac{Siemens}{metre}}{\dfrac{mol}{metr{{e}^{3}}}}=\dfrac{Siemens\times metr{{e}^{2}}}{mole}\]=\[S\times metr{{e}^{2}}\times mo{{l}^{-1}}\]

Additional Information:
We should know that conductivity of an electrolytic solution at any given concentration is the conductance of one unit volume of solution kept between two platinum electrodes with the unit area of cross-section and at a distance of unit length. The conductivity of electrolytic solutions depends on:
The nature and the concentration of the electrolyte added.
The size of the ions produced and their salvation.
Solvent nature and viscosity.
Temperature.

Note: We should know about Conductivity (or specific conductance) that conductivity of an electrolyte solution is a measure of its ability to conduct electricity. We measure conductivity of a solution of an electrolyte by determining the resistance of the solution between two flat or cylindrical electrodes separated by a fixed distance. An alternating voltage is used in order to avoid electrolysis. The resistance is measured by a conductivity meter. For measurement we have a wide variety of options available. There are two types of cell, the classical type with flat or cylindrical electrodes and a second type based on induction. Many commercial systems offer automatic temperature correction.