Gas Specific Heat & Adiabatic Index Calculator (γ=Cp/Cv)
Compute the relationship among constant-pressure Cp, constant-volume Cv and adiabatic index γ for an ideal gas, and verify Mayer’s relation Cp−Cv=R.
Key points
Gas Specific Heat & Adiabatic Index Calculator (γ=Cp/Cv): Compute the relationship among constant-pressure Cp, constant-volume Cv and adiabatic index γ for an ideal gas, and verify Mayer’s relation Cp−Cv=R. Formula: γ = Cp/Cv ｜ Cp − Cv = R. Enter parameters on the DD-CAT IDE online tool page to get results instantly, with a calculation-model diagram that updates with the inputs. Adiabatic index γ = Cp/Cv; Mayer’s relation Cp − Cv = R (ideal-gas molar specific heats). Monatomic gases γ = 5/3 ≈ 1.67, diatomic γ = 7/5 = 1.4, polyatomic γ ≈ 1.3.
Inputs
γ = Cp/Cv ｜ Cp − Cv = RCalculation model (updates with parameters)
| Adiabatic index γ | 1.4 | γ = Cp / Cv |
| Constant-pressure specific heat Cp | 29.1J/(mol·K) | |
| Constant-volume specific heat Cv | 20.8J/(mol·K) | |
| Cp − Cv | 8.3J/(mol·K) | Mayer’s relation: should equal R = 8.314 J/(mol·K) |
| Deviation from R | 0.174% | |Cp−Cv−R|/R |
Engineering notes
- Adiabatic index γ = Cp/Cv; Mayer’s relation Cp − Cv = R (ideal-gas molar specific heats).
- Monatomic gases γ = 5/3 ≈ 1.67, diatomic γ = 7/5 = 1.4, polyatomic γ ≈ 1.3.
- γ is used in the adiabatic process equation PV^γ = constant and sound speed a = √(γRT/M).
FAQ
- What is Gas Specific Heat & Adiabatic Index Calculator (γ=Cp/Cv) for?
- Compute the relationship among constant-pressure Cp, constant-volume Cv and adiabatic index γ for an ideal gas, and verify Mayer’s relation Cp−Cv=R.
- What is the formula for Gas Specific Heat & Adiabatic Index Calculator (γ=Cp/Cv)?
- Core formula: γ = Cp/Cv ｜ Cp − Cv = R. The tool returns results instantly using this formula and the selected parameters.
- What engineering notes should I keep in mind when using Gas Specific Heat & Adiabatic Index Calculator (γ=Cp/Cv)?
- Adiabatic index γ = Cp/Cv; Mayer’s relation Cp − Cv = R (ideal-gas molar specific heats). Monatomic gases γ = 5/3 ≈ 1.67, diatomic γ = 7/5 = 1.4, polyatomic γ ≈ 1.3. γ is used in the adiabatic process equation PV^γ = constant and sound speed a = √(γRT/M).