Boyle's Law Calculator
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Other tools you may find usefulBoyle's Law Calculator - Pressure-Volume Relationship of a Gas
This tool calculates thepressure (P)orvolume (V)of a gas in a closed system, at constant temperature, using theBoyle-Mariotte: equation P₁·V₁ = P₂·V₂ = const. It allows you to work with units ofPa, kPa, bar, atm, psiand volumes inm³, L, cm³. It takes into account the choice of pressure type: absolute or manometric.
Input parameters
- Unknown quantity– P₁, V₁, P₂ or V₂
- Pressure type (ptype):abs(absolute) orgauge(gauge)
- Atmospheric pressure patm[Pa, kPa, bar, atm, psi]
- P₁, V₁, P₂, V₂– input data
The calculator converts all units to base SI, maintaining the pressure-volume ratio at constant temperature.
Equations
1. Boyle-Mariotte law
P₁ · V₁ = P₂ · V₂ = const
where:
- P – gas pressure [Pa]
- V – gas volume [m³]
- Temperature – constant (isothermal process)
2. Transformations
P₂ = P₁ · (V₁ / V₂) V₂ = V₁ · (P₁ / P₂)
The product constant PV is identical in both states of the system if the temperature does not change.
Units supported by the calculator
| Quantity | Units | Default |
|---|---|---|
| Pressure | Pa, kPa, bar, atm, psi | kPa |
| Volume | m³, L, cm³ | L |
Calculation examples
Example 1 - gas compression
- P₁ = 101.3 kPa
- V₁ = 10 L
- P₂ = ?
- V₂ = 5 L
P₂ = 101.3 × (10 / 5) = 202.6 kPa A gas with half the volume has twice the pressure.
Example 2 - gas expansion
- P₁ = 200 kPa
- V₁ = 2 L
- V₂ = 6 L
P₂ = 200 × (2 / 6) = 66.7 kPa During expansion, the pressure decreases in proportion to the increase volume.
Taking into account atmospheric pressure
The calculator allows you to select the type of pressure:
- Absolute (abs)- measured relative to vacuum
- Overpressure (gauge)- measured relative to atmospheric pressure
If you use manometric values, the calculator will automatically add or subtract atmospheric pressure (patm).
Application
- Analysis of isothermal gas processes
- Design of tanks and compressors
- Laboratory and educational simulations
- Basics of gas physics and chemistry
FAQ
What is the Boyle-Mariotte law?
Describes the inverse relationship between pressure and volume of a gas at constant temperature: P·V = const.
What does absolute and gauge pressure mean?
Absolute refers to vacuum (0 Pa) and manometric to atmospheric pressure (~101.3 kPa).
Does the calculator support different units?
Yes - all values are automatically converted between pressure and volume units.
Summary
Boyle's law calculator enables quick and precise calculations of changes in pressure and volume of a gas at constant temperature. The tool converts units, supports overpressure and absolute pressure modes, and presents the results in a readable form.