ExamBro
ExamBro
COMEDK · Chemistry · 17. Solutions

A solute \(\mathrm{X}\) is found to exist as a dimer in water. A 4 molal solution of \(\mathrm{X}\) shows a boiling point of \(101.04^{\circ} \mathrm{C}\). What is the percentage association of \(\mathrm{X}\) ? (\(\mathrm{K}_{\mathrm{b}}\) for water \(=0.52 \mathrm{~K} / \mathrm{m}\)).

  1. A 75
  2. B 80
  3. C 100
  4. D 40
Verified Solution

Answer & Solution

Correct Answer

(C) 100

Step-by-step Solution

Detailed explanation

The elevation in boiling point is given by \(\Delta T_b = T_b - T_b^{\circ} = 101.04^{\circ} \text{C} - 100^{\circ} \text{C} = 1.04 \text{ K}\). Using the formula \(\Delta T_b = i K_b m\), where \(i\) is the van't Hoff factor, \(K_b = 0.52 \text{ K kg mol}^{-1}\), and…