Sunday, September 11, 2011

Hot Air Balloons and the Mass of Air - DO NOW : #9

Do Now # 9 Does Air Have Mass?  How do we know?








Hot air balloons are based on a very basic scientific principle: warmer air rises in cooler air. Essentially, hot air is lighter than cool air, because it has less mass per unit of volume. A cubic foot of air weighs roughly 28 grams (about an ounce). If you heat that air by 100 degrees F, it weighs about 7 grams less. Therefore, each cubic foot of air contained in a hot air balloon can lift about 7 grams. That's not much, and this is why hot ir balloons are so huge -- to lift 1,000 pounds, you need about 65,000 cubic feet of hot air.


In simple terms, density is the mass of anything - including air - divided by the volume it occupies. In the metric system, which scientists use, we usually measure density in terms of kilograms per cubic meter. The air's density depends on its temperature, its pressure and how much water vapor is in the air. We'll talk about dry air first, which means we'll be concerned only with temperature and pressure


https://www.brisbanehotairballooning.com.au/images/air-density-table.png


Mass of Air
1.21kg/m3 at 20 deg C at sea level
1.16kg/m3 at at 30 deg C








Read How Stuff Works For More Info


Components in Dry Air

The two most dominant components in dry air are Oxygen and Nitrogen. Oxygen has a 16 atomic unit mass and Nitrogen has a 14 atomic units mass. Since both of these elements are diatomic in air - O2 and N2, the molecular mass of Oxygen is 32 and the molecular mass of Nitrogen is 28.
Air is a mixture of gases and the total mass can be estimated by adding the weight of all major components as shown below:
Components in Dry AirVolume Ratio compared to Dry AirMolecular Mass - M(kg/kmol)Molecular Mass in Air
Oxygen0.2095 = 20.95%32.006.704
Nitrogen0.7809 = 78.09%28.0221.88
Carbon Dioxide0.0003= .03%44.010.013
Hydrogen0.0000005= etc 2.020
Argon0.0093339.940.373
Neon0.00001820.180
Helium0.0000054.000
Krypton0.00000183.80
Xenon0.09 10-6131.290
Total Molecular Mass of Air28.97

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