Chapter 3 · States of Matter and Gas Laws

Ideal Gas Laws

~20 min · Pages 69–106

The Kinetic Theory of Gases

Gases consist of particles in constant, random motion. The kinetic theory assumes: (1) gas particles have negligible volume compared to the container; (2) no intermolecular forces exist between particles; (3) collisions are perfectly elastic. These assumptions define an ideal gas. Real gases deviate under high pressure or low temperature.

Boyle's Law

P₁V₁ = P₂V₂ (constant T, n) — pressure and volume are inversely proportional

Charles's Law

V₁/T₁ = V₂/T₂ (constant P, n) — volume is directly proportional to temperature (in Kelvin)

Ideal Gas Law

PV = nRT where R = 8.314 J mol⁻¹ K⁻¹ (universal gas constant)

Summary of Gas Laws

The three classical gas laws and the combined ideal gas law.

LawRelationshipConstantEquation
Boyle'sP ∝ 1/VT, nP₁V₁ = P₂V₂
Charles'sV ∝ TP, nV₁/T₁ = V₂/T₂
Gay-Lussac'sP ∝ TV, nP₁/T₁ = P₂/T₂
Avogadro'sV ∝ nT, PV₁/n₁ = V₂/n₂
Ideal GasPV = nRTPV = nRT

HSC Exam Focus

Always convert temperature to Kelvin (K = °C + 273.15) before substituting into any gas law. Common mistakes: using °C directly, forgetting to check which variables are held constant. At STP (0 °C, 1 atm), 1 mole of ideal gas occupies 22.4 L.

Biochemistry Bridge

Gas laws govern oxygen delivery in the blood. In high-altitude regions (low P), dissolved O₂ in plasma decreases (Henry's Law). The body responds by producing more red blood cells — a direct application of PV = nRT in physiology.

InstaTest

InstaTest: Gas Laws

Test your understanding of Boyle's, Charles's, and the ideal gas law.

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