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.

b) returns freshwater to the earth.

c) returns freshwater to the earth.c) occurs after condensation.

d) returns freshwater to the earth.c) occurs after condensation.d) roughly equal to the amount of evaporation.

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