Boyle's Law

📖 What is Boyle's Law?

Boyle's Law states that at constant temperature, the pressure and volume of a gas are inversely proportional — when one increases, the other decreases. Compress a gas into half the volume and its pressure doubles.

P₁V₁ = P₂V₂

🔤 What Each Variable Means

P₁

Initial pressurePressure of the gas before the change (any unit, e.g. Pa, atm)

V₁

Initial volumeVolume of the gas before the change (e.g. L, m³)

P₂

Final pressurePressure after the change

V₂

Final volumeVolume after the change

📝 Step-by-Step Example

A gas occupies 4 L at 2 atm. What volume does it occupy at 8 atm (same temperature)?

1

Identify valuesP₁=2 atm, V₁=4 L, P₂=8 atm, V₂=?

2

Apply Boyle's LawP₁V₁ = P₂V₂ → 2×4 = 8×V₂

3

Solve for V₂V₂ = (2×4)/8 = 8/8

✓

Answer: V₂ = 1 L

As pressure quadrupled, volume quartered.

🧮 Interactive Calculator

Enter P₁, V₁, and P₂ to find V₂

P₁ (initial pressure)

V₁ (initial volume)

P₂ (final pressure)

Result will appear here

📖 What is Boyle's Law?

🔤 What Each Variable Means

📝 Step-by-Step Example

🧮 Interactive Calculator

🔗 Related

🎯 Quick Fact