Science & Engineering

Boyle

Apply Boyle's law to find a gas's final volume at constant temperature. Enter the initial pressure, initial volume, and final pressure, and the tool returns V2 = P1 x V1 / P2. Free and runs in your browser.

What this calculator does

The Boyle estimates your result instantly from the values you enter, using standard science & engineering formulas. Apply Boyle's law to find a gas's final volume at constant temperature. Enter the initial pressure, initial volume, and final pressure, and the tool returns V2 = P1 x V1 / P2. Free and runs in your browser. Calculations run in your browser, so nothing you type is sent to a server, and the output is an estimate rather than a certified or official figure.

Boyle's Law Calculator

Result

—
Final Volume (V2)

About Boyle

This Boyle's Law Calculator uses the constant-temperature relationship P₁V₁ = P₂V₂ to solve for the final volume. Enter the initial pressure P1, the initial volume V1, and the final pressure P2.

The final volume is V2 = P1 × V1 ÷ P2, rounded to four decimal places.

Formula & Mathematical Calculation

Final Volume (V2) = f(Initial Pressure (P1), Initial Volume (V1), Final Pressure (P2))

Calculated according to standard science formulas implemented in the calculator core.

Calculation Example

With P1 = 1, V1 = 2, and P2 = 2:

V2 = (1 × 2) ÷ 2 = 1

Key Benefits

  • Solves Boyle's law for the final volume at constant temperature
  • Works with any consistent pressure and volume units because they cancel in the ratio
  • Rounds the final volume to four decimal places
  • Free, browser-based, and requires no sign-up

How to Use this Calculator

  1. Enter the initial pressure
    Type P1 into the Initial Pressure (P1) field, for example 1.
  2. Enter the initial volume
    Type V1 into the Initial Volume (V1) field, such as 2.
  3. Enter the final pressure and calculate
    Type P2 into the Final Pressure (P2) field and select Calculate to read the final volume V2.

Assumptions & Limitations

What the calculation assumes

  • Every value you enter is treated as an exact, known amount.
  • Any rate or interval you enter is assumed to hold for the whole period unless the form asks for it separately.
  • Results use standard published formulas and account only for the values entered above.
  • Rounding is applied for display; the underlying calculation uses your full precision.
  • Results are returned in the same units you enter, unless the tool states the output unit.

What it does not cover

  • Boyle produces a calculated result for reference and learning, not a certified or official measurement.
  • Real-world outcomes differ when tolerances, rounding rules or local standards apply.
  • Definitions and standards vary by region and change over time; verify the convention that applies to your case.
  • Figures are only as accurate as the inputs you supply — check them before acting on the result.
  • For work where the result carries real consequences, confirm it against an authoritative source.

Frequently Asked Questions

It assumes the temperature stays constant. Under that condition pressure and volume are inversely related, so the tool computes V2 = P1 times V1 divided by P2.

It returns the final volume V2. You supply the initial pressure, the initial volume, and the final pressure.

No. As long as both pressures share one unit and the volume is in your chosen unit, the ratio gives V2 in that same volume unit.

Final pressure must be greater than zero because it is the denominator. Entering zero or a negative value triggers an error instead of a result.

Free to use, no account needed. Calculations run in your browser, so nothing you type is sent to a server. Results are estimates — how we build and check our calculators.