HomePhysicsP5: Solids, Liquids, and GasesP5.2 Ideal Gas Laws

P5: Solids, Liquids, and Gases

P5.1 Density and PressureP5.2 Ideal Gas Laws
P5: Solids, Liquids, and Gases

Ideal Gas Laws

Understand how pressure, volume, and temperature are related in gases

Hot air balloons demonstrating gas expansion

Gas Behavior

P, V, and T relationships

Kinetic Theory of Gases
Understanding gas behavior at the particle level

The kinetic theory explains gas behavior using particle motion. Gas particles are in constant rapid, random motion, colliding with each other and the container walls. These collisions create pressure.

An ideal gas is a theoretical model where particles occupy negligible volume, have perfectly elastic collisions, and experience no intermolecular forces. Real gases deviate from this at high pressures and low temperatures.

Boyle's Law
Pressure-volume relationship at constant temperature

P₁V₁ = P₂V₂

At constant temperature

Boyle's Law states that pressure is inversely proportional to volume when temperature is constant. If you compress a gas (decrease volume), the pressure increases because particles hit the walls more frequently.

Charles's Law
Volume-temperature relationship at constant pressure

V₁/T₁ = V₂/T₂

At constant pressure (temperature in Kelvin)

Charles's Law states that volume is directly proportional to absolute temperature when pressure is constant. Heating a gas makes particles move faster, so the gas expands to maintain constant pressure.

Important: Always use Kelvin for gas calculations! K = °C + 273

Combined Gas Law
Relating all three variables

P₁V₁/T₁ = P₂V₂/T₂

Combines Boyle's and Charles's Laws

The combined gas law relates pressure, volume, and temperature when all three can change. Applications include understanding why car tire pressure increases on hot days (constant volume, higher temperature = higher pressure) and why weather balloons expand as they rise (lower atmospheric pressure = larger volume).

Gas Law Simulators
Explore Boyle's Law, Charles's Law, and the Combined Gas Law

P₁V₁ = P₂V₂

At constant temperature, pressure is inversely proportional to volume

Final Pressure P₂

200.0 kPa

V₁
V₂

Smaller volume = Higher pressure

Key Terms Flashcards
Click the card to reveal the definition

Boyle's Law

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Worked Example
Using the combined gas law

Question:

A gas has volume 200 cm³ at 100 kPa and 300 K. What is its volume at 150 kPa and 450 K?

Answer:

Using P₁V₁/T₁ = P₂V₂/T₂:

Rearranging for V₂: V₂ = P₁V₁T₂ / (T₁P₂)

V₂ = (100 × 200 × 450) / (300 × 150)

V₂ = 9,000,000 / 45,000 = 200 cm³

The volume stays the same because the pressure increase (×1.5) exactly cancels the temperature increase (×1.5).

Test Your Knowledge
Question 1 of 6

According to Boyle's Law, if you halve the volume of a gas at constant temperature, what happens to the pressure?