How to use the gas heat capacity ratio calculator
Find the heat capacity ratio and molar heat capacities of an ideal gas from its degrees of freedom. Enter degrees of freedom in the field above; the heat capacity ratio gamma, molar heat capacity at constant volume, molar heat capacity at constant pressure are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “gamma of gas”, “heat capacity ratio”, “monatomic diatomic cp cv”, “calculate gas heat capacity ratio”, “find heat capacity ratio gamma”.
Formula
Variables
- f — Degrees of freedom
Worked example
With degrees of freedom = 5, the calculator gives heat capacity ratio gamma ≈ 1.4; molar heat capacity at constant volume ≈ 20.78616 J/(mol·K); molar heat capacity at constant pressure ≈ 29.10062 J/(mol·K).
Frequently asked questions
What is the gas heat capacity ratio calculator used for?
Find the heat capacity ratio and molar heat capacities of an ideal gas from its degrees of freedom. It helps with questions such as “gamma of gas”, “heat capacity ratio”, “monatomic diatomic cp cv”.
What is the formula for the gas heat capacity ratio calculation?
Heat capacity ratio gamma = 1+2 / f. Molar heat capacity at constant volume (J/(mol·K)) = f / 2 × RGAS. Molar heat capacity at constant pressure (J/(mol·K)) = [Molar heat capacity at constant volume]+RGAS. Here f is degrees of freedom.
What inputs do I need for the gas heat capacity ratio calculator?
You need degrees of freedom. 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 the gas heat capacity ratio 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 gas heat capacity ratio 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.