# Electrolytic Conductance

When a certain volt is applied to the electrodes dipped into an electrolyte solution, ions of electrolyte moves and electric current flows through the electrolytic solution. This is called electrolytic conductance.

Terms used in electrolytic conduction:

Conductance: It is the property of  a conductor which indicates the ease with which the conductor permits the flow of electricity through it. It is denoted by C. Conductance is the reciprocal of resistance.

C = 1/R

Specific conductance: The conductance of a conductor having unit length and unit area is called as specific conductivity. It is denoted by ${\kappa}$(Kappa). It is defined as the reciprocal of resistivity.

$$i.e., \kappa = \frac{1}{ \rho}$$

$$or, \kappa = \frac{1}{ \frac{RA}{l}}$$

$$or, \kappa = \frac{1}{R} \times \frac{1}{A}$$

$$or, \kappa = C \times \frac{l}{A}$$

when, l = 1 cm and A = 1 cm2

$$\text{K = C}$$

So, in case of electrolytic solution, specific conductivity is defined as the conductance of the solution enclosed between two parallel electrodes having unit area separated by a distance of unit length.

Equivalent conductance: The conductance of a solution containing one gram equivalent of the electrolyte in the given volume of solution is called equivalent conductance. It is denoted by ${\wedge}$ (wedge).

It is related with specific conductance as:

${\wedge = \kappa \times V}$

Where, V is the volume containing one gram equivalent of electrolyte.

Let us consider an electrolytic solution having normality 1. Then,

N gram equivalent of the electrolytes are present in 1000 cc of solution.

1 gram of electrolyte are present in 1000/N cc of solution.

Unit of equivalent conductance: $\Omega^{-1} cm^{-1} equiva^{-1}$

Molar  conductance: The conductance of the solution containing one mole of electrolyte in the given volume of solution is called molar conductance. It is denoted by $(\mu)$. It is relatd with specific conductance as:

${\mu = \kappa \times V}$

Where, V is the solution containing one mole of the electrolye.

Let us consider a electrolytic solution having molarity M. Then,

M mole of solution are present in 1000 CC of solution.

1 mole of electrolyte is present in 1000/M cc of solution.

Unit: $\Omega^{-1} cm^{-1} mol^{-1}$

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