Two aqueous solutions, A and B, are observed to boil at the same temperature. Solution A is 0.1 M Na ₂ SO ₄ and Solution B is 0.2 M of a weak monoprotic acid HX . Assuming molality is approximately equal to molarity, the degree of dissociation ( ) of the weak acid HX is:

Step-by-step solution

For solutions to boil at the same temperature, their elevation in boiling point ( T _ b ) must be equal. T _ b = i K _ b m Assuming m M , we equate the effective concentrations ( i M ) of both solutions. For Na ₂ SO ₄ (a strong electrolyte), i = 3 . Effective concentration of A = 3 0.1 = 0.3 M . For the weak monoprotic acid HX , i = 1 + . Effective concentration of B = (1 + ) 0.2 M . Equating the two: (1 + ) 0.2 = 0.3 1 + = 1.5 = 0.5 Percentage degree of dissociation = 0.5 100 = 50 % . If the van 't Hoff factor of