DP Chemistry · HL / SL · Structure 1. Models of the particulate nature of matter

S1.5 Ideal gases

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Introduction: What Is an Ideal Gas?

Gases are all around us , in the air we breathe, the balloons we inflate, and the engines that power cars. But predicting exactly how a gas will behave under different conditions is surprisingly complex. To make this manageable, chemists use a simplified model called the ideal gas model.

This model treats gas particles as perfectly behaved: always moving randomly, never attracting each other, and taking up no space themselves. Of course, real gases don't perfectly follow these rules , but under many everyday conditions, the ideal gas model gives excellent predictions.

In this subtopic, you will learn:

  • The five key assumptions of the ideal gas model
  • The gas laws that describe relationships between pressure, volume, and temperature
  • The ideal gas equation pV=nRT and how to apply it
  • When and why real gases deviate from ideal behaviour
Analogy

Think of the ideal gas model like a simplified map. A map isn't a perfect replica of the real world , it ignores tiny details like every pebble on a road , but it's still incredibly useful for navigation. The ideal gas model works the same way: it ignores some details of real gases, but it reliably predicts their behaviour in most situations.

The Five Assumptions of the Ideal Gas Model

The ideal gas model is built on five core assumptions. Together, these simplifications allow us to derive powerful mathematical relationships between pressure, volume, temperature, and amount of gas.

Assumption 1: Gas particles are in constant, random motion
Particles move in straight lines in random directions until they collide with the container walls or other particles. This motion explains why gases fill any container they occupy and why they exert pressure on their surroundings.

Assumption 2: Collisions are perfectly elastic
When particles collide with each other or with the container walls, no kinetic energy is lost , all energy is conserved. This is why the pressure of a sealed gas remains constant over time (at fixed temperature and volume).

Warning

Students often assume gas particles lose energy during collisions, as objects do in everyday life. In the ideal gas model, all collisions are perfectly elastic , total kinetic energy is always conserved.

Assumption 3: The volume of gas particles is negligible
Although particles have mass, their actual physical size is so tiny compared to the distances between them that we treat their volume as zero. This is why gases are so compressible.

Example

Steam at 100°C and 1 atm occupies approximately 1700 times the volume of the same mass of liquid water. This illustrates just how much empty space exists between gas particles , the particles themselves occupy only a tiny fraction of the total volume.

Assumption 4: No intermolecular forces act between particles
Ideal gas particles do not attract or repel each other. They move completely independently. As a consequence, an ideal gas can never condense into a liquid.

Assumption 5: Average kinetic energy is proportional to absolute temperature
As temperature (in Kelvin) increases, particles move faster on average. This is the fundamental link between temperature and gas behaviour.

Note

Temperature must always be in Kelvin for gas law calculations. The Kelvin scale starts at absolute zero (0 K = −273.15°C), where particles theoretically have no kinetic energy. The Celsius scale has an arbitrary zero point and cannot be used in proportional relationships.

Exam Tip

A useful memory aid for the five assumptions , VENM+K:

  • Volume of particles is negligible
  • Elastic collisions
  • No intermolecular forces
  • Motion is constant and random
  • Kinetic energy ∝ absolute temperature (Kelvin)

Alternatively, remember the phrase: "Very Energetic Nitrogen Molecules Kick"

The Five Assumptions of the Ideal Gas Model
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