Kinetic particle model of matter

O Level / IGCSE Physics · Thermal physics. A short explanation of the idea, the rules to remember, the mistake to avoid, a worked example and practice questions with answers.

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The idea

Everything is made of tiny particles that are always moving. In a solid they are close together in a regular pattern and only vibrate about fixed positions. In a liquid they are still close together but can slide past each other. In a gas they are far apart and move quickly and randomly.

Temperature tells you how fast the particles move. A higher temperature means a greater average kinetic energy. At absolute zero, −273 °C, the particles have the least kinetic energy possible.

A gas pushes on its container because its particles hit the walls. Each collision gives a small force, and the total force on each unit of area is the pressure.

Rules to remember

Common mistake

Students say the particles get bigger or expand when a gas is heated. The particles stay the same size; they move faster and, if the gas can expand, they move further apart.

Worked example

A gas has a volume of 200 cm3 at a pressure of 150 kPa. It expands slowly at constant temperature to 500 cm3. What is the new pressure?

  1. Temperature is constant, so p1V1 = p2V2.
  2. 150 × 200 = p2 × 500, so 30 000 = p2 × 500.
  3. p2 = 30 000 ÷ 500 = 60 kPa.
  4. Check: the volume got bigger, so the pressure should be smaller. It is.

Answer: 60 kPa

Practice questions

Try each one, then open the answer.

1. Water vapour in the air touches a cold window and forms droplets of liquid water. What is this change of state called?

  1. A
    boiling
  2. B
    evaporation
  3. C
    condensation
  4. D
    melting
Show answer

Answer: C. Gas to liquid is condensation. Evaporation and boiling are liquid to gas; melting is solid to liquid.

2. Gas is trapped in a syringe whose piston can slide freely, so the pressure of the gas stays constant. The gas is heated. Which statement is correct?

  1. A
    particles speed up; the volume grows until the pressure is restored
  2. B
    each particle expands when it is heated, so the gas takes more space
  3. C
    particles speed up and hit harder, so the volume of gas decreases
  4. D
    particles keep the same speed but spread further apart from each other
Show answer

Answer: A. Heating raises the average kinetic energy, so the particles hit the piston harder and push it out. In the larger volume they hit each unit area less often, and the pressure settles at its old value. The particles themselves do not change size.

3. Which row correctly describes a gas?

  1. A
    fixed shape, fixed volume, cannot be compressed
  2. B
    no fixed shape, fixed volume, cannot be compressed
  3. C
    no fixed shape, no fixed volume, easily compressed
  4. D
    fixed shape, no fixed volume, easily compressed
Show answer

Answer: C. Gas particles are far apart and move freely, so a gas fills its container, takes its shape and can be squashed into a smaller volume.

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