Measurement of electrical conductance to determine the dissociation constant of acetic acid
Conductance is the reciprocal of electrical resistance. Unit for conductance is mho or siemens (S) [1 S = 1 ohm-1]. Specific conductivity (κ) is defined conductance of solution of 1 cm length and having 1 cm2 area or conductance of 1 cm3 of the solution of electrolyte.
Specific conductance = Measured conductance (ohm-1) × Cell constant (cm-1) -------------------- eq (i)
Equivalent conductance at dilution V cm3 is defined as the conductance of all ions produced from one-gram equivalent electrolyte dissolved in V cm3 when the distance between the electrodes is one and electrodes are so large that the whole solution is contained between them. Molar conductivity of solution at dilution V cm3, is the conductance of all the ions from one mole of electrolyte dissolved in V cm3 when the distance between the electrodes is one and electrodes are so large that the whole solution is contained between them.
Λm = κ × 1000 / Molarity -------------------- eq (ii)
Λeq = κ × 1000 / Normality -------------------- eq (iii)
Degree of dissociation (α) is the ratio of equivalent conductance (Λeq) to the conductance at infinite dilution (Λ∞).
α = Λeq / Λ∞ -------------------- eq (iv)
Λ∞ = νA Λ∞+ + νB Λ∞- (Kohlrausch’s law) -------------------- eq (v)
Where νA and νB is the number of ions dissociated from molecule cation and anion respectively.
Degree of dissociation α can be expressed as, α = Λ / Λ0
Dissociation constant (Kd) for acetic acid could be given by the following formula
Kd = Cα2 / (1 − α) -------------------- eq (vi)
where, C is the concentration. Graphically, dissociation constant can be determined by plotting the graph of (α2 / (1 − α)) vs. 1 / Concentration.