ToolsArena.Net

Boyle's Law: Pressure and Volume of Gases

Boyle's Law states that for a fixed amount of gas at constant temperature, pressure and volume are inversely proportional. Compressing a gas increases its pressure; allowing it to expand decreases pressure. This relationship is fundamental to pneumatics, syringes, breathing mechanics, and many industrial processes.

Google ad

Formula

$$P_1 V_1 = P_2 V_2$$

Boyle's Law Calculator

Calculate pressure or volume changes using Boyle's Law: P₁V₁ = P₂V₂.

Google ad

Worked Example

Given:

Initial Pressure P₁ = 1 atmInitial Volume V₁ = 4 LFinal Pressure P₂ = 2 atm
ResultFinal Volume V₂: 2 L

Related Calculators

FAQs

Under what conditions does Boyle's Law apply?

Boyle's Law applies to ideal gases at constant temperature (isothermal process). Real gases deviate slightly at very high pressures or low temperatures. For most practical purposes at normal conditions, Boyle's Law gives accurate results.

What is a real-world example of Boyle's Law?

A syringe demonstrates Boyle's Law: pulling the plunger increases volume and decreases pressure below atmospheric, drawing fluid in. Pushing the plunger decreases volume, increases pressure, and forces fluid out.

How does Boyle's Law relate to breathing?

When you inhale, the diaphragm contracts and chest volume expands. By Boyle's Law, pressure inside drops below atmospheric, drawing air in. When you exhale, the chest contracts, volume decreases, pressure rises, and air is expelled.