How to Use Gay-Lussac’s Law Calculator
The Gay-Lussac’s Law Calculator solves P₁/T₁ = P₂/T₂ for any unknown at constant volume.
- Pick the unknown — P₁, P₂, T₁, or T₂.
- Enter the other three — Use kPa, Pa, bar, atm, or psi for pressure; K, °C, or °F for temperature.
- Read the result — The Gay-Lussac’s Law Calculator returns the missing value in the unit you chose.
Formula & Theory - Gay-Lussac’s Law Calculator
P₁ / T₁ = P₂ / T₂
Rearrangements:
P₂ = P₁ · (T₂ / T₁)
P₁ = P₂ · (T₁ / T₂)
T₂ = T₁ · (P₂ / P₁)
T₁ = T₂ · (P₁ / P₂)| Symbol | Meaning |
|---|---|
| P₁, P₂ | Absolute pressures (kPa) |
| T₁, T₂ | Absolute temperatures (K) |
Assumptions and Limits
- Constant volume (rigid container).
- Constant amount of gas (n).
- Ideal gas behavior; significant deviations possible at very high pressure or very low temperature.
Use Cases for Gay-Lussac’s Law Calculator
- Aerosol cans and tires — Predict pressure when temperature rises.
- Chemistry homework — Quickly solve textbook problems.
- Engineering checks — Estimate pressure-temperature coupling in closed vessels.
The Gay-Lussac’s Law Calculator is the fastest tool for constant-volume pressure-temperature problems.