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Introduction to Solutions

Jun 18, 2025

Overview

This lecture is a brief revision of the 12th-grade "Solutions" chapter, explaining concentration terms, solubility, vapor pressure, colligative properties, van't Hoff factor, etc., in simple language.

Definition and Types of Solution

  • A solution is a homogeneous mixture of two or more components.
  • The solute is the component present in a smaller amount, the solvent is the one present in a larger amount or whose phase is the same as the solution's phase.
  • The phase of the solution is equal to the phase of the solvent.

Concentration Terms

  • Mass percent = (Mass of component / Total mass of solution) ├Ч 100
  • Volume percent = (Volume of component / Total volume) ├Ч 100
  • Mass/volume percent = (Mass of component / Volume of solution in mL) ├Ч 100
  • Parts per million (ppm) = (Weight of solute / Total weight) ├Ч 10тБ╢
  • Mole fraction = (Moles of component / Total moles)
  • Molarity = (Moles of solute / Volume of solution in liters), temperature dependent.
  • Molality = (Moles of solute / Weight of solvent in kg), temperature independent.
  • Normality = (Equivalents of solute / Volume of solution in liters)

Solubility

  • Solubility is the maximum amount of a compound that can dissolve in a solvent at a given temperature.
  • Solubility of solids generally increases with temperature, gases decrease.
  • For gases, solubility increases with increasing pressure (Henry's law).

Vapor Pressure and Raoult's Law

  • Vapor pressure of a pure liquid depends only on temperature.
  • Total vapor pressure of solution = p1┬░x1 + p2┬░x2 (x = mole fraction)
  • Ideal solutions follow Raoult's law; non-ideal solutions may show positive or negative deviation.
  • Azeotropic mixture: a mixture with a specific composition that cannot be separated further by fractional distillation.

Colligative Properties

  • Colligative properties depend on the number of solute particles, not their nature.
  • Four main colligative properties:
    • Decrease in vapor pressure,
    • Increase in boiling point (╬ФTb = Kb ├Ч m),
    • Decrease in freezing point (╬ФTf = Kf ├Ч m),
    • Osmotic pressure (╧А = CRT).
  • Van't Hoff factor (i): correction factor for changes in moles due to association or dissociation.

Key Terms & Definitions

  • Solute тАФ component in smaller amount.
  • Solvent тАФ component in larger amount or phase determining.
  • Mole fraction (x) тАФ ratio of moles of a component to total moles.
  • Molarity (M) тАФ moles of solute per volume of solution (liters).
  • Molality (m) тАФ moles of solute per weight of solvent (kg).
  • Vapor pressure тАФ pressure exerted by vapors of a liquid.
  • Raoult's law тАФ vapor pressure of solution depends on vapor pressures and mole fractions of components.
  • Colligative property тАФ property depending only on the number of solute particles.
  • Van't Hoff factor (i) тАФ correction of moles due to dissociation/association.
  • Henry's law тАФ solubility of gas in liquid proportional to pressure of gas above.
  • Azeotrope тАФ mixture that cannot be further purified by distillation.
  • Osmosis тАФ movement of solvent from less concentrated to more concentrated side.
  • Osmotic pressure тАФ pressure required to stop osmosis.

Action Items / Next Steps

  • Memorize related colligative property formulas.
  • Practice Raoult's law and Van't Hoff factor.
  • Revise NCERT tables and definitions.
  • Solve 5-10 practice questions for each topic.