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A Level · Cambridge (CIE) · 9701

Explain gas pressure and the ideal gas model

Explain pressure through molecular collisions and state the two ideal-gas assumptions used in this syllabus.

States of matter · Cambridge 9701 AS Chemistry · 4.1

AS Level; Cambridge International Chemistry 9701, 2025–2027 syllabus. Keep pressure, volume, amount and absolute temperature consistent in gas calculations. Written practice is self-checked

Before you begin

  • Rearrange a formula and convert between common metric volume units.

Work on paper. Try each question before revealing help, and explain why your method works.

Quick readiness check

What produces gas pressure at a container wall?

What you will learn

  • Explain gas pressure as molecular collisions with container walls
  • State that ideal-gas particles have zero volume and no intermolecular attraction

Molecules colliding with the container wall create pressure

Gas molecules move randomly and collide with the container walls. Each collision changes molecular momentum and exerts a force on the wall. The combined force per unit area produces the gas pressure.

More frequent or more forceful collisions increase the force on a wall and therefore the pressure, provided the wall area is unchanged. Describe the particle-wall collisions rather than saying that pressure is simply caused by molecules 'pushing outward'.

An ideal gas is a simplified model

In the ideal-gas model, particles are treated as having zero volume and no intermolecular forces of attraction. They still move and collide with the walls; the assumptions simplify how the gas is described.

Real gas particles do have finite size and can attract one another. The stated calculation outcomes use the ideal-gas equation; do not mistake the model assumptions for a literal description of every real gas molecule.

Pause and explain

Which pair of assumptions defines an ideal gas here?

Put the idea to work

Worked example

Explain how gas molecules exert pressure on the walls of a sealed container.

Show the worked solution
  1. Molecules move randomly through the container.
  2. They collide with the walls and change momentum.
  3. The collisions exert force; force per unit area is pressure.

Answer Random molecular collisions with the container walls exert a force. The force per unit area gives the gas pressure.

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From guided practice to a new situation

Write your answer and reasoning first. Use a hint only if you are stuck. The model solution is for self-checking; your written work is not automatically marked.

1 · Guided

Explain the link from a single molecule's wall collision to the measured pressure.

Give me a hint

Connect momentum change to force, then relate force to area.

Compare my reasoning
  1. A collision changes the molecule's momentum.
  2. The wall experiences an equal interaction force during the collision.
  3. Many collisions create force over the wall area; pressure is force per unit area.

Each collision transfers momentum and exerts force on the wall. The combined force per unit area is the measured gas pressure.

Look for these in your work

  • Momentum change mentioned
  • Wall force described
  • Pressure defined using area
2 · Independent

State the two ideal-gas assumptions about particles and explain what the model still allows them to do.

Give me a hint

Separate the assumptions about size and attraction from molecular motion.

Compare my reasoning
  1. Particle volume is treated as zero.
  2. Intermolecular attraction is treated as absent.
  3. Particles still move and collide with container walls.

An ideal gas has particles with zero volume and no intermolecular attractions, but the particles still move and collide with the walls.

Look for these in your work

  • Zero volume stated
  • No attraction stated
  • Motion and collisions retained
3 · Transfer

A student says pressure doubles because molecules attract each other more strongly in an ideal gas. Correct the explanation.

Give me a hint

Use the model's force-on-wall explanation and note the ideal assumption.

Compare my reasoning
  1. The ideal-gas model assumes no intermolecular attraction.
  2. Pressure arises from collisions with container walls.
  3. A pressure change must be explained by collision force or frequency per area, not stronger ideal-gas attraction.

The ideal-gas model has no intermolecular attractions. Pressure comes from wall collisions; a change must affect their force or frequency per unit area.

Look for these in your work

  • Ideal assumption applied
  • Wall collisions identified
  • Unsupported attraction explanation rejected

Common mistakes

  • Describing pressure as a force without area
  • Forgetting that wall collisions change momentum
  • Saying ideal particles are motionless
  • Treating zero particle volume as the absence of particles
Recall without your notes

What can you explain now?

What produces gas pressure at a container wall?

Compare with the explanation

Molecular collisions that exert force on the wall

Repeated impacts transfer momentum and create a force.

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Make it stick

How do particle-wall collisions produce pressure, and what two assumptions make the gas ideal?

If you needed the solution, close it and solve the problem again from a blank page. A correct answer is stronger when you can explain the reason for each step.

Keep learning Chemistry

Course scope and assessment

Four hundred and forty-two original lessons map the published learning outcomes across AS Chemistry Topics 1–22 and A Level Topics 23–37, with guided, independent and transfer practice and explained answers. Every numbered subject-content topic and listed outcome tag now has a mapped lesson sequence. Topic 32 maps all 12 hydroxy-compound outcome tags in 11 lessons; Topic 33 maps all 15 carboxylic-acid and derivative outcome tags in 16 lessons; Topic 34 maps all 22 nitrogen-compound outcome tags in 20 lessons; Topic 35 maps all 12 polymerisation outcome tags in 16 lessons; Topic 36 maps all four organic-synthesis outcome tags in 14 lessons; Topic 37 maps all 22 chromatography and NMR outcome tags in 18 lessons. Cambridge's 2028–2030 Version 1 syllabus states that there are no significant changes which affect teaching from the preceding edition; the routes are aligned to that edition. This is 37 of the 37 numbered subject-content topics. Full cumulative exam assessment, Paper 3 laboratory competence, Paper 5 investigation practice and human subject-teacher review remain outstanding. Written practice is self-checked and does not certify exam readiness.

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