Physics Laws & Theorems
Basic

Boyle's Law

At constant temperature, pressure and volume of a gas are inversely proportional.

Formula

P1V1=P2V2P_1 V_1 = P_2 V_2

Variables

PPressure
VVolume

Example

Squeeze a gas to half its volume at fixed temperature and its pressure doubles.

How it works

Boyle's Law describes what happens to a fixed amount of gas when temperature stays the same: if the gas is compressed into a smaller space, its pressure rises, and if it is allowed to expand, its pressure falls. This happens because the same gas particles are moving around with the same average kinetic energy, so changing the volume changes how often they hit the container walls. Fewer collisions per unit area means lower pressure; more collisions means higher pressure.

When to use it

Use this law for gas problems where the temperature and amount of gas are constant, such as syringes, pistons, balloons in a sealed container, or compressed-air systems. It is especially useful for finding a new pressure or volume after a gas is squeezed or expanded.

Worked example, step by step

A gas has a pressure of 150 kPa and a volume of 4.0 L. It is compressed to 2.5 L at constant temperature. What is the new pressure? P1V1 = P2V2 150 × 4.0 = P2 × 2.5 600 = 2.5P2 P2 = 600 ÷ 2.5 P2 = 240 kPa Final answer: the new pressure is 240 kPa.

Common mistakes to avoid

  • Using this law when temperature changes, even though Boyle's Law only applies at constant temperature
  • Mixing up pressure and volume so that both are treated as increasing or both as decreasing
  • Forgetting to keep units consistent, such as comparing litres with cubic centimetres without converting

Did You Know?

Squeeze a gas into half the volume and its pressure doubles — Boyle showed this in 1662.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026