What is Boyle's law?

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Quick answer

Boyle’s law says that, at a constant temperature, the pressure of a fixed amount of gas is inversely proportional to its volume. Squeeze a gas into half the space and its pressure doubles. Written as a formula: P₁V₁ = P₂V₂. Irish scientist Robert Boyle published it in 1662.

Why it happens

A gas is made of molecules zooming around and hitting the walls of their container. Each collision pushes on the wall, creating pressure. If you squeeze the gas into a smaller space, the molecules hit the walls more often, so the pressure rises. Keeping the temperature constant means the molecules’ speed doesn’t change.

A quick example

A syringe holds 100 mL of air at 1 atmosphere of pressure. Push the plunger until the air takes up 50 mL:

P₂ = (1 atm × 100 mL) ÷ 50 mL = 2 atm

Boyle’s law in everyday life

SituationWhat happens
Syringe or bike pumpPushing reduces volume and raises pressure, forcing air or liquid out
Scuba divingDeeper water means higher pressure, so air in a diver’s lungs shrinks; divers must never hold their breath while rising
Ears on a planeAir trapped in your middle ear expands as cabin pressure drops
Chip bags at altitudeSealed bags puff up in the mountains where outside pressure is lower
BreathingYour diaphragm enlarges your chest, lowering lung pressure so air rushes in

Who was Robert Boyle?

Boyle (1627–1691) was an Anglo-Irish scientist and a founder of modern chemistry. With his assistant Robert Hooke, he built an air pump and did experiments with a J-shaped tube of mercury to measure trapped air. French physicist Edme Mariotte found the same law independently, so it’s sometimes called the Boyle–Mariotte law.

The other gas laws

LawRelationshipHolds constant
Boyle’sPressure ↑ when volume ↓Temperature
Charles’sVolume ↑ when temperature ↑Pressure
Gay-Lussac’sPressure ↑ when temperature ↑Volume
Avogadro’sVolume ↑ with more gasTemperature and pressure

They combine into the ideal gas law, PV = nRT.

Pressure also changes the temperature at which liquids boil; see what a boiling point is.

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