Understanding the Units
* kg/m³: Kilograms per cubic meter. This means the mass of 1 cubic meter of air is 1 kilogram.
* g/cm³: Grams per cubic centimeter. This means the mass of 1 cubic centimeter of air is a certain number of grams.
Conversion Factors
* 1 kg = 1000 g
* 1 m = 100 cm
Calculation
1. Convert kilograms to grams: 1 kg = 1000 g
2. Convert cubic meters to cubic centimeters: (1 m)³ = (100 cm)³ = 1,000,000 cm³
3. Divide the gram value by the cubic centimeter value:
(1000 g) / (1,000,000 cm³) = 0.001 g/cm³
Therefore, the density of air in g/cm³ is 0.001 g/cm³.