# Molar Conductivity or Molar Conductance

** **Molar conductivity is defined as the conducting power of all the ions produced by dissolving one mole of an electrolyte in solution.

It is denoted by _{}(lambda). Molar conductance is related to specific conductance (_{}) as,

_{}

where, M is the molar concentration.

If M is in the units of molarity i.e., moles per litre _{}the _{}may be expressed as,

_{}

For the solution containing 1 gm mole of electrolyte placed between two parallel electrodes of 1 sq. cm area of cross-section and one cm apart,

_{}

But if solution contains 1 gm mole of the electrolyte therefore, the measured conductance will be the molar conductivity. Thus,

_{}

In other words, _{}

where V is the volume of the solution in _{}containing one gram mole of the electrolyte.

If M is the concentration of the solution in mole per litre, then

M mole of electrolyte is present in _{}

1 mole of electrolyte is present in _{} of solution

Thus, _{}containing 1 mole of electrolyte.

or _{}

**Units of Molar Conductance**: The units of molar conductance can be derived from the formula ,

_{}

The units of _{} are S_{} and units of _{}are, _{}

According to SI system, molar conductance is expressed as _{}if concentration is expressed as _{}