Here's how:
1. Composition of air:
* Nitrogen (N2) - 78.08%
* Oxygen (O2) - 20.95%
* Argon (Ar) - 0.93%
* Carbon dioxide (CO2) - 0.04%
* Other trace gases (like neon, helium, etc.) - <0.01%
2. Molar masses of components:
* N2 - 28 g/mol
* O2 - 32 g/mol
* Ar - 40 g/mol
* CO2 - 44 g/mol
3. Calculating the average molar mass of air:
* (0.7808 * 28) + (0.2095 * 32) + (0.0093 * 40) + (0.0004 * 44) = 28.96 g/mol (approximately)
4. Vapor Density:
* Vapor density is defined as the ratio of the mass of a given volume of a gas to the mass of the same volume of hydrogen gas at the same temperature and pressure.
* The molar mass of hydrogen (H2) is 2 g/mol.
* Therefore, vapor density of air = (average molar mass of air) / (molar mass of hydrogen) = 28.96 g/mol / 2 g/mol = 14.48
So, the approximate vapor density of air at standard conditions is 14.48. This means that air is approximately 14.48 times denser than hydrogen gas.