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CodeVID-C12-02-T2-01
Vapour Pressure & Raoult's Law — Topic Assignment
Chapter: Solutions
Topic: Vapour Pressure & Raoult's Law
Maximum Marks: 30
Time: 60 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
Raoult's law for a volatile component states $p_A=$
  • A.$p_A^0/x_A$
  • B.$p_A^0 x_A$
  • C.$x_A/p_A^0$
  • D.$p_A^0+x_A$
2.
An ideal solution has $\Delta_{mix}H$ equal to:
  • A.positive
  • B.negative
  • C.zero
  • D.infinite
3.
Benzene + toluene is an example of:
  • A.positive deviation
  • B.negative deviation
  • C.an ideal solution
  • D.a maximum-boiling azeotrope
4.
Acetone + chloroform shows:
  • A.positive deviation
  • B.negative deviation
  • C.ideal behaviour
  • D.no mixing
5.
Azeotropes are mixtures that:
  • A.always separate easily
  • B.boil at a constant composition
  • C.have zero vapour pressure
  • D.are always solids
Section B — Short Answer (2 marks) 3 × 2 = 6 marks
6.
State Raoult's law for a solution of two volatile liquids.
7.
Distinguish positive and negative deviations in terms of intermolecular forces.
8.
Why can an azeotropic mixture not be separated by fractional distillation?
Section C — Short Answer (3 marks) 2 × 3 = 6 marks
9.
At 300 K, pure A and B have vapour pressures 100 and 60 mm Hg. For $x_A=0.5$, find $p_{total}$ and the vapour composition $y_A$.
10.
45 g of a non-volatile solute (M = 90) is dissolved in 360 g water. If $p^0_{water}=24$ mm Hg, find the solution's vapour pressure.
Section D — Long Answer (5 marks) 1 × 5 = 5 marks
11.
Explain ideal and non-ideal solutions with one example each, the sign of $\Delta_{mix}H$, and how each relates to azeotrope formation.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $p_A^0 x_A$
  2. (C) zero
  3. (C) an ideal solution
  4. (B) negative deviation
  5. (B) boil at a constant composition
Section B — Short Answer (2 marks)
  1. The partial vapour pressure of each component equals its pure vapour pressure times its mole fraction: $p_A=p_A^0 x_A$ and $p_B=p_B^0 x_B$.
  2. Positive deviation: A–B forces weaker than A–A/B–B, vapour pressure higher than ideal. Negative deviation: A–B forces stronger, vapour pressure lower than ideal.
  3. At the azeotropic composition the liquid and vapour have identical compositions, so distillation produces vapour of the same composition and no further separation occurs.
Section C — Short Answer (3 marks)
  1. $p_A=100\times0.5=50$; $p_B=60\times0.5=30$; $p_{total}=80$ mm Hg. $y_A=50/80=0.625$.
  2. $n_{solute}=0.5$; $n_{water}=20$; $x_{water}=20/20.5=0.9756$; $p=24\times0.9756=23.4$ mm Hg.
Section D — Long Answer (5 marks)
  1. Ideal: obeys Raoult's law throughout, $\Delta_{mix}H=0$ (benzene + toluene), no azeotrope. Positive deviation: $\Delta_{mix}H>0$ (ethanol + water), forms minimum-boiling azeotrope. Negative deviation: $\Delta_{mix}H<0$ (acetone + chloroform / HNO3 + water), forms maximum-boiling azeotrope.
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