Variables
Description
What is this formula?
The adiabatic temperature-volume relation calculates how the temperature of an ideal gas changes when its volume changes without heat transfer. It applies to reversible adiabatic processes and depends on the heat capacity ratio gamma.
When to use it
Use this formula for ideal gas expansion or compression when the process is adiabatic and approximately reversible. It is commonly used in thermodynamics, compressors, turbines, engines, and gas expansion calculations.
Example
Given:
T1 = 300 K
V1 = 0.020 m³
V2 = 0.040 m³
gamma = 1.4 for air
Formula:
T2 = T1(V1/V2)^(gamma - 1)
Substitution:
T2 = 300 × (0.020/0.040)^(1.4 - 1)
Result:
T2 = 227.4 K
Applications
Adiabatic gas expansion, compression processes, piston-cylinder analysis, internal combustion engines, turbines, compressors, nozzles, and thermodynamic cycle calculations.