ONE FORMULA, ONE ANSWER
Adiabatic Ideal Gas Temperature Calculator
Calculate final temperature for a reversible adiabatic ideal-gas process. Choose input units and calculate one value within the stated conditions.
Inputs
Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.
Result
Final absolute temperature T₂
Enter values and select Calculate.
T₂ = T₁(p₂/p₁)^((γ−1)/γ)
Assumptions
Required: T₁,p₁,p₂>0, γ>1 and a reversible adiabatic ideal-gas process with constant heat capacities. Excluded: irreversible efficiency, shocks and phase change. Pressures are absolute.
Displayed values are floating-point approximations. Design safety factors and unprovided error contributions are not calculated.
Formula references and credits
NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.
Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.
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