A pressure vessel that has a volume of 10m3 is used to store high-pressure air for operating a supersonic wind tunnel. If the air pressure and temperature inside the vessel are 20 atm and 300K, respectively: What is the mass of air stored in the vessel

The mass of air stored in the vessel is 235.34 kilograms.

Explanation:

Let supossed that air inside pressure vessel is an ideal gas, The density of the air (), measured in kilograms per cubic meter, is defined by following equation:

(1)

Where:

- Pressure, measured in kilopascals.

- Molar mass, measured in kilomoles per kilogram.

- Ideal gas constant, measured in kilopascal-cubic meters per kilomole-Kelvin.

- Temperature, measured in Kelvin.

If we know that , , and , then the density of air is:

The mass of air stored in the vessel is derived from definition of density. That is:

(2)

Where is the mass, measured in kilograms.

If we know that and , then the mass of air stored in the vessel is:

The mass of air stored in the vessel is 235.34 kilograms.

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