#1328, Ganga Enclave, Roorkee | Mon - Sat: 12:00 PM - 07:00 PM
Physical Chemistry

Solutions & Colligative Properties Numerical Hacks

Dr. Aarzoo Saini
August 2026
6 min read

Master molality calculations, ideal vs non-ideal solution graphs, and association/dissociation Van't Hoff factors.

The Solutions chapter introduces quantitative concentration terms and physical behavior of liquid mixtures. Colligative properties (properties depending solely on number of solute particles) form a major numerical component in Class 12 Physical Chemistry.

Raoult's Law & Ideal Solutions: For volatile liquids, partial vapor pressure is proportional to mole fraction. Ideal solutions follow Raoult's Law over full concentration range (D Mix H = 0, D Mix V = 0). Non-ideal solutions show positive deviations (Ethanol + Acetone) or negative deviations (Chloroform + Acetone), forming azeotropes.

Four Colligative Properties: (1) Relative Lowering of Vapor Pressure (DP/P°1 = x2), (2) Elevation of Boiling Point (DTb = Kb * m), (3) Depression of Freezing Point (DTf = Kf * m), and (4) Osmotic Pressure (pi = CRT).

Van't Hoff Factor (i): Accounts for solute association or dissociation in solution: i = Observed Colligative Property / Calculated Colligative Property. For complete dissociation of NaCl, i = 2; for association of Benzoic Acid in Benzene, i = 0.5. Dr. Aarzoo Saini provides step-wise numerical practice at We-Gyaan Classes Roorkee.

Key Takeaways for Students

  • Always express concentration in Molality (m) for boiling point and freezing point formulas.
  • Use Osmotic Pressure (pi = CRT) for measuring molar mass of macromolecules and proteins.
  • Apply Van't Hoff factor (i) whenever solute dissociates or associates in solution.
  • Understand positive vs negative deviation azeotropic boiling point behaviors.
Dr. Aarzoo Saini

Authored by Dr. Aarzoo Saini

Founder & Lead Educator at We-Gyaan Classes Roorkee, with over 20 years of teaching excellence in Science and Chemistry for Board Exams, NEET, JEE, and CUET.

ADMISSION OPEN

Join We-Gyaan Classes

Specialized Science & Chemistry Coaching in Roorkee for Classes IX-XII, CBSE Boards, NEET, JEE & CUET.

Register / Inquiry
LATEST INSIGHTS

Explore More Study Guides & Strategies

Have Questions About Your Preparation Strategy?

Book a one-on-one academic consultation session with Dr. Aarzoo Saini at We-Gyaan Classes in Roorkee.

Contact & Book Consultation