(i) Λ_m → (d) increases with dilution

(ii) → (a) intensive property

(iii) Κ → (b) depends on number of ions/volume

(iv) Δ_rG_cell → (c) extensive property

(i) Molar conductivity of the solution, Λ_m = = κ V

(Electrodes are at unit distance)

Where, V= volume of the solution containing 1 mole of electrolyte.

In other words, molar conductivity of the solution is directly proportional to the volume of the solution. Thus, with dilution (increase in volume of the solution), Λ_m increases.

(ii) Intensive property is the property of the system that does not depend of the mass of the system.

is an intensive property as it does not depend on the amount or size of the system. In fact, it depends on energy per coulomb of charge transferred.

(iii) The conductivity or the specific conductance of electrolyte depends on the number of ions per unit volume.

(iv) Δ_rG_cell = -nFE_cell

Where, Δ_rG_cell is the Gibbs free energy of the reaction.

F= Faraday constant

nF = Amount of charge passed

n= number of electron transferred in the radox reaction.

Since, Δ_rG_cell depends on the n, it is an extensive property.