Air - Molecular Weight and Composition
Calculate and explore the molecular weight and composition of dry air, including major and minor gas components. Understand how the average molar mass of air is determined from its constituent gases.
Calculation Method
The average molar mass of air is calculated using the formula:
Mmixture = x₁M₁ + ... + xₙMₙ
Where:
- xᵢ = mole fractions of each gas
- Mᵢ = the molar mass of each gas
Key Components
Dry air is composed primarily of:
- 78.084 vol% Nitrogen (N₂) with molar mass ~28 g/mol
- 20.946 vol% Oxygen (O₂) with molar mass ~32 g/mol
- 0.934 vol% Argon (Ar) with molar mass ~40 g/mol
- Trace amounts of CO₂, Ne, He, CH₄, Kr, H₂, and Xe
Average Molar Mass of Dry Air: 28.9647 g/mol
Air Density
The density of dry air can be calculated using the Ideal Gas Law:
ρ = P / (R·T)
Where:
- P = pressure (Pa)
- R_air = 287.05 J/kg·K (individual gas constant)
- T = absolute temperature (K)
Example: At atmospheric pressure (101.325 kPa) and 0°C (273.15 K): ρ = 1.292 kg/m³
Water Vapor Note
⚠️ Important: Water vapor (H₂O) is lighter than both O₂ and N₂, so dry air is denser than humid air. Water vapor dilutes the other gases and reduces the total density of the mixture.