Question

How is equivalent conductivity related to specific conductivity?

How is the specific conductance of a solution related to the equivalent conductance of the solution?

Write expressions showing the mutual relationship between specific and equivalent conductivities.

Answer 1

The equivalent conductivity (Λ_eq) is related to the specific conductivity (κ) by the following equation.

`Lambda_(eq) = kappa/c_(eq)`    ...(i)

Where c_eq is the solution’s concentration expressed in grams per unit volume. When 1 gram of an electrolyte dissolves in V_eq cm³ of the solution, we get

`c_(eq) = 1/V_(eq)` g eq cm⁻³

Substituting the value in the equation (i), we get

Λ_eq = κ × V_eq    ...(ii)

It should be carefully noted that the volume in cm³ of the solution containing 1 gram equivalent of the electrolyte is represented by the term V_eq in the equation above.