Define conductivity and molar conductivity for the solution of an electrolyte. Discuss their variation with concentration.

Explanation

Conductivity: the inverse of resistivity is called conductivity (or specific conductance). It is denoted by K (greek, kappa)
`K=(1)/(rho)`
its SI unit is `Sm^(-1)` or `Ohm^(-1)m^(-1)`
Molar conductivity: molar conductivity of a solution is defined as the conductance of the solution which contains one mole of the electrolyte such that the entire solution is placed between the two electrodes kept one centimetre apart. it is denoted by `^^_(m)` (greek lambda)
`therefore` Molar conductivity `^^_(m)=(K)/(C)`
Variation of molar conductivity with concentration: molar conductivity `^^_(m)` versus concentration `C^(1//2)` for acetic acid (weak electrolyte) and potassium chloride (strong electrolyte) in aqueous solution is shown below: