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Question -

Define conductivity and molarconductivity for the solution of an electrolyte. Discuss their variation withconcentration.



Answer -

Conductivity of a solution isdefined as the conductance of a solution of 1 cm in length and area ofcross-section 1 sq. cm. The inverse of resistivity is called conductivity orspecific conductance. It is represented by the symbolκ. If ρ isresistivity, then we can write:

The conductivity of a solution atany given concentration is the conductance (G) of one unit volume ofsolution kept between two platinum electrodes with the unit area ofcross-section and at a distance of unit length.

i.e., 

(Since a =1, l = 1)

Conductivity always decreaseswith a decrease in concentration, both for weak and strong electrolytes. Thisis because the number of ions per unit volume that carry the current in asolution decreases with a decrease in concentration.

Molar conductivity:

Molarconductivity of a solution at a given concentration is the conductance ofvolume V of a solution containing 1 mole of the electrolyte kept between twoelectrodes with the area of cross-section A and distance ofunit length.

Now, l = 1and A = V (volume containing 1 mole of the electrolyte).

Molar conductivity increases witha decrease in concentration. This is because the total volume V of the solutioncontaining one mole of the electrolyte increases on dilution.

Thevariation of withfor strong and weak electrolytes is shown in thefollowing plot:

                                                     

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