Molar conductivity of a solution at a given concentration is the conductance of the volume of solution contianing one mole of electrolyte kept between two electrodes with area of cross section A and distance of unit length.
Molar conductivity `^^_(m) =(kA)/(l)`
`^^_(m)=kxxV(becausel=1,A=V)`
V = Volume containing 1 mole of electrolyte
Molar conductivity increase with decrease in concentration of electrolyte (or) increase in dilution. This is due total volume V of solution containing one mole of electrolyte also increases.
When concentraiono approaches to zero, the molar conductivity is known as limiting molar conductivity and it is represented by `^^_(m)^(0)`
For strong electrolytes molar conductivity is given by
`^^_(m)=^^_(m)^(0) -Ac ^(1//2)`
For weak electrolytes limiting molar conductivity is given by
`lamda_(AB), =lamda_(A^(+))+lamda _(B^(-))` (Kohlrasch law)