Exams › JEE Advanced › Chemistry
An equimolar homogeneous solution of two volatile liquids A and B has a vapour pressure of 310 torr. The vapour pressures of pure A and pure B are P_A* = 200 torr and P_B* = 500 torr respectively. Identify the incorrect option(s) for this binary solution.
- The enthalpy of mixing for this solution is negative.
- Intermolecular interactions between A and B are weaker than those between A-A and B-B.
- The boiling point of this solution is lower than the ideal boiling point at the same composition.
- The volume of the solution formed is less than the sum of volumes of pure A and B.
Correct answer: Intermolecular interactions between A and B are weaker than those between A-A and B-B.
Solution
Ideal VP = 0.5*200 + 0.5*500 = 350 torr. Observed = 310 torr < 350 torr. This is a negative deviation from Raoult's law. Negative deviation implies: (a) A-B interactions are STRONGER than A-A and B-B (not weaker), so option B is INCORRECT. (b) Mixing is exothermic → enthalpy of mixing is negative (option A is correct). (c) Boiling point is HIGHER than ideal (not lower) because vapour pressure is lower, so option C is also INCORRECT. (d) Volume contracts on mixing (negative volume of mixing), so option D is correct. The question asks for incorrect options; both B and C are incorrect. However, if only one answer is expected, B is the most clearly incorrect statement (commonly tested). C is also incorrect (BP is higher, not lower).
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