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Free Boyle's Law Calculator

Solve for pressure or volume using Boyle's Law (P₁V₁ = P₂V₂) at constant temperature.

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Boyle's Law describes how the pressure and volume of a fixed amount of gas relate to each other when temperature stays constant: as one goes up, the other goes down, in exact proportion. This calculator solves for whichever value is missing given the other three.

How it works

Enter any 3 of the 4 values — initial pressure, initial volume, final pressure, and final volume — and leave the one you want to solve for blank. The calculator applies P₁V₁ = P₂V₂ to find the missing value.

  1. Enter pressure 1 (P₁) — leave blank to solve for this.
  2. Enter volume 1 (V₁) — leave blank to solve for this.
  3. Enter pressure 2 (P₂) — leave blank to solve for this.
  4. Enter volume 2 (V₂) — leave blank to solve for this.
  5. Click Calculate to see your results.

Examples

Compressing a gas

A gas at 2 atm and 4 L is compressed to 1 L at constant temperature — its new pressure is 8 atm, since pressure and volume are inversely proportional.

Who should use it

  • Chemistry and physics coursework on gas laws.
  • Estimating pressure/volume changes in simple constant-temperature scenarios.

Industry applications

  • Chemistry and physics education
  • Basic pneumatics and gas-handling estimation

Advantages

  • Simple, exact relationship for constant-temperature gas problems.
  • Widely taught starting point for understanding gas behavior.

Limitations

  • Doesn't apply if temperature changes during the process — use the Combined Gas Law for that case.

Common mistakes to avoid

  • Mixing units mid-calculation (e.g. entering one volume in liters and the other in milliliters) — convert everything to the same unit first.
  • Forgetting that Boyle's Law only holds at constant temperature — if temperature also changes, use the Combined Gas Law instead.

Best practices

  • Double-check that temperature is genuinely constant between the two states before applying this law.
  • Keep pressure and volume in consistent units throughout.

Tips

  • If you know three of the four values, you always have enough information to solve for the fourth — you never need all four.

Frequently asked questions

Yes, with no signup and no limit on how many calculations you run.
It assumes a fixed amount of gas (no gas added or removed) at a constant temperature — only pressure and volume are changing.
Any consistent unit works for pressure and volume, since the formula is a ratio — just use the same pressure unit and the same volume unit throughout one calculation.
Yes — leave any one of the four fields blank and the other three will be used to solve for it.

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