How to use the adiabatic process calculator
Find final temperature and pressure after adiabatic compression or expansion. Enter initial temperature, compression ratio v1/v2, heat capacity ratio γ in the fields above; the final temperature, pressure ratio p2/p1 are computed instantly and plotted on the chart so you can see how the answer changes.
Formula
Variables
- T1 — Initial temperature (K)
- r — Compression ratio V1/V2
- gam — Heat capacity ratio γ
Worked example
With initial temperature = 300 K, compression ratio v1/v2 = 10, heat capacity ratio γ = Diatomic, the calculator gives final temperature ≈ 753.5659 K; pressure ratio p2/p1 ≈ 25.11886.
Frequently asked questions
What is the formula for the adiabatic process calculation?
Final temperature (K) = T1 × r^(gam-1). Pressure ratio P2/P1 = r^gam. Here T1 is initial temperature (K), r is compression ratio v1/v2, gam is heat capacity ratio γ.
What inputs do I need for the adiabatic process calculator?
You need initial temperature in K, compression ratio v1/v2, heat capacity ratio γ. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use this calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.