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Adiabatic Process Final Temperature from Volume Ratio Calculator

T₂ / T₁ = (V₁ / V₂)^(γ−1).

For a reversible adiabatic (isentropic) process on an ideal gas, the temperature scales with the volume ratio raised to (γ − 1). Given initial T₁ (K), V₁, V₂, and the heat-capacity ratio γ (= 5/3 for monatomic, 7/5 for diatomic), compute the final temperature T₂ and pressure ratio P₂/P₁ = (V₁/V₂)^γ.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

K
L
L

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

T₂ = T₁ · (V₁/V₂)^(γ−1); P₂/P₁ = (V₁/V₂)^γ.

In depth

For a reversible adiabatic (isentropic) process on an ideal gas, the temperature scales with the volume ratio raised to (γ − 1). Given initial T₁ (K), V₁, V₂, and the heat-capacity ratio γ (= 5/3 for monatomic, 7/5 for diatomic), compute the final temperature T₂ and pressure ratio P₂/P₁ = (V₁/V₂)^γ.