PhysicsExam code: 4PH1

Ideal Gases

Solids, Liquids & Gases

Kinetic Theory of Gases

Random motion of gas molecules

  • Gas molecules never sit still; they fly about ceaselessly in random directions at high speed
  • "Random" means no preferred direction: every molecule is constantly changing direction as it bounces off other molecules and off the walls of the container
  • A typical air molecule at room temperature moves at hundreds of metres per second between collisions
Gas molecules moving in random directions inside a sealed container, each travelling in a straight line until it collides
Source: Kinetic Theory by Save My Exams

How collisions produce pressure

  • Each time a gas molecule strikes the wall of its container, it bounces back. By Newton's third law, the wall pushes the molecule back, and the molecule pushes the wall
  • Over countless collisions, the millions of tiny pushes add up to a net force on every wall, acting at right angles to the surface
  • Pressure is force per unit area:

P = F / A

  • Two things control how big the pressure is:
    • How often the molecules hit the wall each second (more collisions per second means more force per second)
    • How hard each collision is (faster molecules mean a harder impact)
  • Anything that changes either factor (heating the gas, compressing it, adding more molecules) changes the pressure
Molecules striking a container wall; each bounce exerts a force on the wall, and the many collisions add up to a net outward force
Source: Kinetic Theory by Save My Exams

Common exam question

Explaining how a gas exerts pressure on its container

Question: Explain, or describe, how the molecules of a gas produce a pressure on the inside of their container (3 marks).

Asked in 4 of the 24 papers, always for three marks, one per idea: the molecules collide with the walls (or the surface) of the container; each collision exerts a force on the wall; and pressure is force per unit area, so the total force over the wall area is the pressure. p = F/A is accepted for the third point, but one scheme says the formula alone is not enough, so say it in words too.

Name the walls: "the molecules collide with each other" is ignored and earns nothing. Random motion is also credited in one scheme, and when a question asks why the pressure is the same on every wall, the two marks are for that random motion and for an equal rate of collisions in every direction.

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