Calculate the specific gas constant, cp, cv, density, and speed of sound for any gas. Includes comprehensive gas property reference table.
The specific gas constant R = R̄/M connects the universal gas constant R̄ = 8.314 J/(mol·K) to a particular gas through its molar mass M. While R̄ is the same for all ideal gases, the specific gas constant varies widely — from 287 J/(kg·K) for air to 4,124 J/(kg·K) for hydrogen — making it essential for engineering calculations in gas dynamics, HVAC, and thermodynamics.
Combined with the specific heat ratio γ = cp/cv, the specific gas constant determines the key thermodynamic properties: specific heats cp and cv, speed of sound, and the relationship between pressure, volume, and temperature. These properties are fundamental to designing compressors, turbines, nozzles, and any system involving gas flow.
Monatomic gases (He, Ar) have γ = 5/3 ≈ 1.667 because they have only translational energy modes. Diatomic gases (N₂, O₂, air) have γ ≈ 1.4 with additional rotational modes. Polyatomic gases (CO₂, CH₄) have lower γ due to vibrational modes. This calculator computes all properties from just molar mass and γ.
Engineers working with gas dynamics, HVAC, combustion, or aerospace need accurate gas properties. This calculator provides instant results for any gas and includes a reference table for quick cross-checks — essential for thermodynamic analysis and system design. Keep these notes focused on your operational context. Tie the context to the calculator’s intended domain. Use this clarification to avoid ambiguous interpretation.
Specific gas constant: R = R̄/M, where R̄ = 8.31446 J/(mol·K). Specific heats: cp = γR/(γ−1), cv = R/(γ−1). Speed of sound: a = √(γRT). Density: ρ = P/(RT).
Result: R = 287.1 J/(kg·K), a = 347 m/s
Air with M = 28.97 g/mol: R = 8314.46/28.97 = 287.1 J/(kg·K). At 300 K: cp = 1005, cv = 718 J/(kg·K). Sound speed = √(1.4 × 287.1 × 300) = 347 m/s.
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R̄ = 8.314 J/(mol·K) is the universal gas constant (per mole). R = R̄/M is the specific gas constant (per kilogram), which depends on the gas.
R = R̄/M, so lower molar mass means higher specific gas constant. Hydrogen (M=2) has R = 4124 J/(kg·K), 14× that of air (M=29).
γ = (f+2)/f where f is the number of active degrees of freedom. Monatomic: f=3 (γ=5/3). Diatomic: f=5 (γ=7/5=1.4). Polyatomic: f=6-7 (γ≈1.2-1.3).
Speed of sound and specific enthalpy increase with temperature. Density decreases. At high temperatures, γ decreases slightly as vibrational modes contribute.
Yes — compute the mixture molar mass as Σ(yᵢMᵢ) where yᵢ is the mole fraction. Use the mixture γ or compute cp and cv from mass-weighted averages.
It determines compressibility effects in gas flow. Below Mach 0.3, flow is effectively incompressible. Above Mach 1, shock waves form. It also affects acoustic and vibration analysis.