Adiabatic Process Calculator
Compute volume/pressure relation and work for an adiabatic gas process.
Input Data
Initial Pressure Pa
Pa
Initial Volume M3
m³
Final Pressure Pa
Pa
Heat Capacity Ratio
Results
Final Volume M3
0.00609507m³
Temperature Ratio
1.21901365
Work Done By Gas J
-547.534136J
Pressure Volume Product1
1,000J
Pressure Volume Product2
1,219.013654J
At a glance:Adiabatic: PVᵞ = const; W = (P₁V₁ − P₂V₂)/(γ−1); T₂/T₁ = (V₁/V₂)^(γ−1). Complements isothermal-process and carnot-cycle.
Formula
P₁V₁ᵞ = P₂V₂ᵞ.
W = (P₁V₁ − P₂V₂)/(γ−1).
$$PV^{\gamma}=\text{const},\quad V_2=V_1\left(\frac{P_1}{P_2}\right)^{1/\gamma},\quad \frac{T_2}{T_1}=\left(\frac{P_2}{P_1}\right)^{(\gamma-1)/\gamma},\quad W=\frac{P_1V_1-P_2V_2}{\gamma-1}$$How to Use
- Enter initial P,V, γ and one final state.
- The tool returns the other final state and work.
Case Studies
P₁=1e5, V₁=1, γ=1.4, V₂=0.5
P₂ ≈ 2.64e5 Pa.
FAQ
No heat exchange?
Yes — Q=0, so all work changes internal energy.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.