4. A vacuum tank is connected to a vacuum pump through a valve. The tank has a volume of 100 ft³; the pump has a volumetric flow rate of 10 ft³/min, independent of the density of the material flowing through it. The valve (when wide open) is the equivalent of a reversible nozzle with cross- sectional area 10+ ft². All of the piping of the system is very large compared to the dimensions of the valve. The vacuum tank is full of air at a pressure of 1 atm. Heating coils hold the temperature of the air in the vacuum tank at 70°F. The valve is opened wide and the pump started. How long does it take the tank pressure to fall to 0.1 atm?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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4. A vacuum tank is connected to a vacuum pump through a valve. The tank has a volume of 100
ft³; the pump has a volumetric flow rate of 10 ft³/min, independent of the density of the material
flowing through it. The valve (when wide open) is the equivalent of a reversible nozzle with cross-
sectional area 104 ft². All of the piping of the system is very large compared to the dimensions of
the valve. The vacuum tank is full of air at a pressure of 1 atm. Heating coils hold the temperature
of the air in the vacuum tank at 70°F. The valve is opened wide and the pump started. How long
does it take the tank pressure to fall to 0.1 atm?
Transcribed Image Text:4. A vacuum tank is connected to a vacuum pump through a valve. The tank has a volume of 100 ft³; the pump has a volumetric flow rate of 10 ft³/min, independent of the density of the material flowing through it. The valve (when wide open) is the equivalent of a reversible nozzle with cross- sectional area 104 ft². All of the piping of the system is very large compared to the dimensions of the valve. The vacuum tank is full of air at a pressure of 1 atm. Heating coils hold the temperature of the air in the vacuum tank at 70°F. The valve is opened wide and the pump started. How long does it take the tank pressure to fall to 0.1 atm?
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