Science
Ideal gas pressure
Calculate gas pressure from amount in moles, absolute temperature and volume using the ideal gas relationship; volume is entered in cubic metres.
Calculators / Science / Ideal-gas adiabatic temperature
Ideal-gas adiabatic temperature calculator
Estimate gas temperature after reversible adiabatic expansion or compression.
On this page
Final absolute temperature395.85K
Final-to-initial pressure ratio2.64
Calculator controls
How to calculate
Estimate gas temperature after reversible adiabatic expansion or compression.
Final absolute temperature =
T*(V1/V2)^(gamma-1) KFinal-to-initial pressure ratio =
(V1/V2)^gammaWorked example
- Initial absolute temperature (K): 300
- Initial volume (m³): 1
- Final volume (m³): 0.5
- Heat-capacity ratio: 1.4
- Final absolute temperature: 395.85 K
- Final-to-initial pressure ratio: 2.64
Assumptions and limits
This is an ideal educational model. Enter quantities in the stated SI units; it does not certify equipment safety or real operating limits. Uses a fixed ideal-gas heat-capacity ratio, no heat transfer and a reversible process; temperatures must be absolute.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Estimate gas temperature after reversible adiabatic expansion or compression. Compression raises temperature in this model. Celsius values cannot be substituted directly for kelvin.
When this tool is useful
Compression raises temperature in this model. Celsius values cannot be substituted directly for kelvin.
Understanding your inputs
| Input | Example |
|---|---|
Initial absolute temperature (K) T | 300 |
Initial volume (m³) V1 | 1 |
Final volume (m³) V2 | 0.5 |
Heat-capacity ratio gamma | 1.4 |
Frequently asked questions
Which assumptions matter for this result?
This is an ideal educational model. Enter quantities in the stated SI units; it does not certify equipment safety or real operating limits. Uses a fixed ideal-gas heat-capacity ratio, no heat transfer and a reversible process; temperatures must be absolute.
How can I check the worked example?
Use the displayed example inputs in the stated formula. Keep each quantity in its labelled unit and compare the unrounded result before applying display rounding.