Molar conductivity is defined as the conductivity of an electrolytic solution divided by the molar concentration of the electrolyte, so it measures the efficiency a given electrolyte that conducts electricity in solution. It is the conducting power of all the ions produced by dissolving one mole of an electrolyte in solution.
Λm=kc
Where Λm is molar conductivity
κ is the measured conductivity (formerly known as specific conductance)[3]
c is the electrolyte concentration.
So molar conductivity and concentration of electrolyte is inversely proportional to each other.