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Solutions Overview and Types

Jul 16, 2025

Overview

This lecture covers the Solutions chapter, explaining types of solutions, concentration expressions, colligative properties, and key laws like Henry’s and Raoult’s laws, with solved example questions.

Types of Solutions

  • A solution is a homogeneous mixture with uniform composition and properties throughout.
  • A binary solution contains two components: solute (lesser quantity) and solvent (greater quantity).
  • Types include gaseous (gas in gas, liquid in gas, solid in gas), liquid (gas in liquid, liquid in liquid, solid in liquid), and solid solutions (solid in solid).

Concentration Terms

  • Mass percentage (w/w): mass of component ÷ total mass of solution × 100.
  • Volume percentage (v/v): volume of component ÷ total volume of solution × 100.
  • Mass by volume percentage (w/v): mass of solute ÷ volume of solution × 100.
  • Parts per million (ppm): (parts of component ÷ total parts of solution) × 10⁶.
  • Mole fraction (X): moles of component ÷ total moles of all components.
  • Molarity (M): moles of solute ÷ liters of solution (temp. dependent).
  • Molality (m): moles of solute ÷ kg of solvent (temp. independent).

Solubility & Factors Affecting It

  • Solubility is the max amount of solute dissolved at a specific temp.
  • For solids in liquids: solubility depends on solute/solvent nature, temp, and is mostly unaffected by pressure.
  • For gases in liquids: solubility increases with pressure (Henry's Law) and decreases with temp.

Henry’s Law and Its Applications

  • Solubility of a gas is directly proportional to its partial pressure above the liquid.
  • Applications: carbonation in beverages, deep-sea diving gas mixes, and effects at high altitudes.

Raoult’s Law & Vapor Pressure

  • In an ideal solution of volatile liquids, vapor pressure of each component is proportional to its mole fraction.
  • Total vapor pressure = sum of partial pressures of each component.

Ideal and Non-Ideal Solutions

  • Ideal solution: obeys Raoult’s law, no enthalpy or volume change on mixing.
  • Non-ideal solution: shows positive/negative deviation due to weaker/stronger intermolecular forces.
  • Azeotropes: specific mixtures with same liquid and vapor composition, cannot be separated by distillation.

Colligative Properties

  • Properties depending on number, not nature, of solute particles: relative lowering of vapor pressure, elevation of boiling point, depression of freezing point, and osmotic pressure.
  • Formulas incorporate the van’t Hoff factor (i) to account for association/dissociation.

Example Questions & Calculations

  • Detailed sample calculations for molality, molarity, elevation of boiling point, depression of freezing point, and osmotic pressure using provided data.

Key Terms & Definitions

  • Solute — component in lesser quantity in a solution.
  • Solvent — component in greater quantity, determines solution’s physical state.
  • Mole Fraction (X) — ratio of moles of a component to total moles.
  • Molarity (M) — moles of solute per liter of solution.
  • Molality (m) — moles of solute per kg of solvent.
  • Henry’s Law — solubility of gas ∝ partial pressure above solution.
  • Raoult’s Law — vapor pressure of component ∝ its mole fraction in solution.
  • Colligative Properties — properties depending on number of solute particles.
  • Osmosis — solvent movement through semi-permeable membrane from pure solvent to solution.
  • Van’t Hoff factor (i) — accounts for association/dissociation in colligative property calculations.

Action Items / Next Steps

  • Review solved examples, especially on calculating colligative properties.
  • Complete any listed homework or practice problems from the lecture.
  • Study key formulas and definitions for upcoming assessments.