Gay-Lussac's Law Calculator
Calculate the pressure-temperature relationship of a fixed-volume gas.
About Gay-Lussac's law
Gay-Lussac's law examples
These examples keep volume and gas quantity constant.
| Known values | Final pressure | Interpretation |
|---|---|---|
| P1 = 1 atm, T1 = 300 K, T2 = 600 K | P2 = 2 atm | Doubling absolute temperature doubles pressure. |
| P1 = 100 kPa, T1 = 250 K, T2 = 400 K | P2 = 160 kPa | The temperature ratio is 1.6. |
| P1 = 2 bar, T1 = 320 K, T2 = 280 K | P2 = 1.75 bar | Cooling reduces pressure proportionally. |
How to use the calculator
- Enter the initial pressure in any pressure unit.
- Enter the initial absolute temperature in kelvin.
- Enter the final absolute temperature in kelvin.
- Select Calculate final pressure and read the answer in the original pressure unit.
Frequently asked questions
What is Gay-Lussac's law?
It states that gas pressure is directly proportional to absolute temperature when volume and gas quantity are constant. Its common form is P1 divided by T1 equals P2 divided by T2.
Why must temperature be in kelvin?
The formula compares temperature ratios, which require a scale beginning at absolute zero. Celsius has an offset, so direct Celsius ratios produce incorrect results.
Which pressure unit should I use?
You may use any pressure unit for the initial pressure. The calculated pressure is returned in that same unit because the formula uses a ratio.
Does this law work for every gas?
It is a good approximation for gases behaving ideally under moderate conditions. Real gases can deviate near condensation, at high pressure, or at very low temperature.
What must remain constant?
The container volume and the amount of gas must remain constant between states. If either changes, a combined gas law or another model is more appropriate.