Form 5 · Chapter 2

Gas Pressure

Gas pressure is the pressure exerted by gas molecules colliding with the walls of their container.

Where gas pressure comes from

Gas molecules move rapidly and randomly. When they collide with the walls of a container, each collision exerts a tiny force. The total force per unit area on the walls is the gas pressure. More frequent or more forceful collisions mean higher pressure.

Key formula / 关键公式

Pressure: P = F / A
Manometer reading: Pgas = Patm + ρgh (gas pressure above atmospheric)
Pressure of a liquid column: P = ρgh

Measuring gas pressure with a manometer

A manometer is a U-tube containing liquid. The difference in liquid levels, h, shows how much the gas pressure differs from atmospheric pressure. If the gas pressure is higher than atmospheric, it pushes the liquid down on its side and up on the open side.

Worked example / 例题

A manometer contains water (ρ = 1000 kg m⁻³). The level on the open side is 0.20 m higher. If atmospheric pressure is 100 000 Pa (g = 10 m s⁻²), find the gas pressure.
Extra pressure = ρgh = 1000 × 10 × 0.20 = 2000 Pa.
Pgas = 100 000 + 2000 = 102 000 Pa.

Worked example / 例题

A gas exerts a force of 500 N on a piston of area 0.02 m². Find the gas pressure.
P = F / A = 500 / 0.02 = 25 000 Pa.

Remember / 记住

  • Gas pressure comes from molecular collisions with the walls.
  • A manometer compares gas pressure with atmospheric pressure via a height difference h.
  • Higher temperature (fixed volume) means faster molecules and higher pressure.

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