Boyle's Law Calculator

Free Boyle's Law Calculator — solve P1·V1 = P2·V2 for any of the four variables in an isothermal ideal-gas process.

826.8K uses Updated · 2026-05-12 Runs locally · zero upload
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How to Use Boyle’s Law Calculator

The Boyle’s Law Calculator relates the pressure and volume of an ideal gas at constant temperature.

  1. Choose unknown — Pick which of P1, V1, P2, V2 to solve for.
  2. Enter the three known values — Use consistent units (e.g. atm and L, or Pa and m³).
  3. Read the result — The Boyle’s Law Calculator returns the missing variable in the same unit system.

Formula & Theory — Boyle’s Law Calculator

P1 · V1 = P2 · V2
SymbolMeaning
P1Initial pressure
V1Initial volume
P2Final pressure
V2Final volume

Boyle’s law states that for a fixed amount of gas at constant temperature, pressure is inversely proportional to volume.

Assumptions and Limits

The Boyle’s Law Calculator assumes constant temperature, constant amount of gas, and ideal-gas behaviour. For gases near liquefaction or at very high pressure, deviations grow. For variable temperature problems, use the combined gas law instead.

Use Cases for Boyle’s Law Calculator

  • Scuba physics — Predict how lung volume changes with depth.
  • Lab demos — Compute the pressure rise when a syringe is compressed.
  • Vacuum systems — Estimate base pressure after a stroke of compression.
  • Education — Teach the inverse-proportional relationship between P and V.

The Boyle’s Law Calculator turns a textbook relationship into immediate, reliable numbers.

Frequently asked questions about Boyle's Law Calculator

How accurate is the Boyle's Law Calculator?

The Boyle's Law Calculator applies P1·V1 = P2·V2 exactly for an ideal gas held at constant temperature. Real gases at high pressure may deviate slightly.

When should I use a Boyle's Law Calculator?

Use the Boyle's Law Calculator whenever an ideal-gas sample is compressed or expanded at fixed temperature, such as syringe demos or scuba physics.

Can I solve for any variable?

Yes. Leave the unknown blank and the Boyle's Law Calculator rearranges the equation automatically.

Is my data stored?

No. All calculations happen in your browser; nothing is sent to a server.