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Gay-Lussac's law calculator

Find pressure or temperature for a sealed rigid container of ideal gas, or calculate volume and amount from the first state.

Calculator

Final absolute pressure
150,000

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How this calculator works

At fixed volume and amount, ideal-gas pressure is proportional to absolute temperature. A sealed rigid vessel approximates these constraints. Use absolute pressure, not pressure relative to the atmosphere. The optional initial-state volume and amount modes use the exact SI molar gas constant.

Formula

p1/T1 = p2/T2; p1 V = nRT1.

Worked example

Heating a sealed gas from 300 K to 450 K raises pressure from 100000 Pa to 150000 Pa. Cooling 200000 Pa at 400 K to 300 K gives 150000 Pa.

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Frequently asked questions

What stays constant?

Volume and amount of gas.

When does the ideal model lose accuracy?

Near condensation or at high density, intermolecular forces and finite molecular size become important.

Must the container be rigid?

Yes, for this two-state relation. If its volume changes, use the combined ideal gas relation instead.

Sources

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