. The conductivity of 0.01 M aqueous acetic acid measured with a conductivity cell of cell constant of 0.5 ~cm ⁻¹ at 298 ~K is 3.12 10⁻⁴ ~S . If the limiting conductivities of H ⁺ and CH ₃ COO ⁻ at the same temperature are 349 , and 41 ~S ~cm ^2 mol ⁻¹ respectively, the dissociation constant of acetic acid is

Step-by-step solution

gathered Conductivity =3.12 10⁻⁴ 0.5 ~S ~cm ⁻¹ =1.56 10⁻⁴ ~S ~cm ⁻¹ gathered Molar conductivity = 1.56 10⁻⁴ 0.01 = S cm ^3 ~mol ⁻¹=1.56 10⁻² Scm ^3 ~mol ⁻¹=1.56 ~S ~cm ^3 ~mol ⁻¹ Degree of dissociation d= 1.56 390 =0.004=4 10⁻³ Dissociation constant = (4 10⁻³ )^2 1- (4 10⁻³ ) = 16 10⁻⁶ 1-0.004 = 16 10⁻⁶ 0.996 =16.0 10⁻⁶=1.60 10⁻⁵