How will you calculate degree of dissociation of weak electrolytes and dissociation constant using Kohlrausch's law?

Explanation

(i) The degree of dissociation of weak electrolyte can be calculated from the molar conductivity at a given concetration and the molar conductivity in infinite dilution using the formula `alpha = (Lambda_m)/(Lambda_m^@)`
(ii) According to Ostwald.s dilution law, `K_a = (alpha^2 C)/(1 - alpha)`
Substituting `alpha` value in the above equation
`K_a = (Lambda_m^2.C)/(Lambda_m^2 [1 - (Lambda_m)/(Lambda_m^@)]) implies K_a = (Lambda_m^@ C)/(Lambda_m^(@2).((Lambda_m^@ - Lambda_m)/(Lambda_m)) implies k_a = (Lambda_m^2 C)/(Lambda_m^@(Lambda_m^@ - Lambda_m))` .