Calculate the dissociation constant of a weak monobasic acid if it is 0.04% dissociated in a 0.01M solution.

Step-by-step solution

Given concentration C = 0.01 M = 10⁻² M. Degree of dissociation = 0.04 % = 0.04 100 = 4 10⁻⁴ . For a weak monobasic acid, the dissociation constant is given by Ostwald's dilution law: K_a = C ^2 1 - Since 1 , we can approximate 1 - 1 . K_a = C ^2 Substituting the values: K_a = (10⁻²) (4 10⁻⁴)^2 K_a = 10⁻² 16 10⁻⁸ K_a = 16 10⁻¹⁰ = 1.6 10⁻⁹ Answer: 1.6 10⁻⁹