Question

When will the conductivity become equal to the molar conductivity?

Answer 1

Conductivity:

• Conductivity is defined as the measure of the property of a substance to permit the flow of electricity through it.
• It can be explained as the conductance of a solution of unit length ($1$ $\mathrm{cm}$) having a unit cross-sectional area( $1$ ${\mathrm{cm}}^2$).
• It is denoted by $\mathrm{\kappa }$ and can be represented as: $\mathrm{\kappa }=\frac{1}{\mathrm{\rho }}$, where $\mathrm{\rho }$=Resistivity.

Molar Conductivity:

• Molar conductivity is defined as the conductance of a solution having one mole of electrolyte between two electrodes separated by a unit length ($1$ $\mathrm{cm}$) having a unit area ($1$ ${\mathrm{cm}}^2$).
• Mathematically, it can be represented as:

${\wedge }_{\mathrm{m}}=\mathrm{\kappa }/\mathrm{C}$, where $\mathrm{\kappa }$= Specific Conductivity and $\mathrm{C}$= Concentration( in$\mathrm{mol}{\mathrm{l}}^{-1}$)

Equating Conductivity with Molar Conductivity:

• When $1$ mole of electrolyte is present in $1{\mathrm{cm}}^3$ of solution between two electrodes of a cross-sectional area of $1$ ${\mathrm{cm}}^2$ separated by a distance of $1$ $\mathrm{cm}$, then the conductivity will be equal to molar conductivity.