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Boyle's Law Calculator

Solve P₁V₁ = P₂V₂ for any unknown.

Introduction

Boyle's Law Calculator — Solve P₁V₁ = P₂V₂ for any unknown. Enter P1 (atm) — leave blank if unknown, V1 (L) — leave blank if unknown, P2 (atm) — leave blank if unknown, V2 (L) — leave blank if unknown to get an instant, accurate result.

Formula

Boyle's Law states that for a fixed amount of gas at constant temperature, pressure and volume are inversely related: P₁V₁ = P₂V₂. Enter any three of the four values to solve for the fourth.

Step-by-step

  1. Enter the P1 (atm) — leave blank if unknown.
  2. Enter the V1 (L) — leave blank if unknown.
  3. Enter the P2 (atm) — leave blank if unknown.
  4. Enter the V2 (L) — leave blank if unknown.
  5. Click Calculate to see your result instantly.

Real-world example

Example: With P1 (atm) — leave blank if unknown = 1, V1 (L) — leave blank if unknown = 10, P2 (atm) — leave blank if unknown = 2, the Boyle's Law Calculator gives P1: 1, V1: 10, P2: 2.

Frequently Asked Questions

Who discovered Boyle's Law?
Boyle's Law is named after Robert Boyle, the 17th-century Irish scientist who established that pressure and volume of a gas are inversely proportional at constant temperature.
What conditions must hold for Boyle's Law to apply?
Boyle's Law assumes constant temperature and a fixed amount (moles) of an ideal gas. It does not account for temperature changes, which are instead described by Charles's Law or the combined/ideal gas law.
What happens to pressure if volume is halved?
Since P₁V₁ = P₂V₂, halving the volume doubles the pressure (assuming temperature and gas quantity remain constant), and vice versa.
What inputs does the Boyle's Law Calculator need?
You'll need to provide: P1 (atm) — leave blank if unknown, V1 (L) — leave blank if unknown, P2 (atm) — leave blank if unknown, V2 (L) — leave blank if unknown. All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Boyle's Law Calculator?
The Boyle's Law Calculator applies the formula exactly as calculated — Boyle's Law states that for a fixed amount of gas at constant temperature, pressure and volume are inversely related: P₁V₁ = P₂V₂. Enter any three of the four values to solve for the fourth. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Boyle's Law Calculator free to use?
Yes, the Boyle's Law Calculator is completely free, requires no signup, and runs instantly in your browser.

About the Boyle's Law Calculator

The Boyle's Law Calculator uses a real, verifiable formula — Boyle's Law states that for a fixed amount of gas at constant temperature, pressure and volume are inversely related: P₁V₁ = P₂V₂. Enter any three of the four values to solve for the fourth. — so results are accurate every time, not an approximation.