Example 3.8. In Example 3.7 we considered a vacuum system with zero leaks. No real vacuum systems are totally leak-free; engineers work very hard to keep the leakage rate as low as possible. If the tank in Example 3.7 has a leak of 0.0001 lbm/min of air, what will the pressure-time plot look like, and what will be the final pressure?

Elements Of Electromagnetics
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Example 3.8.
In Example 3.7 we considered a vacuum system with zero leaks. No real vacuum systems are
totally leak-free; engineers work very hard to keep the leakage rate as low as possible. If the
tank in Example 3.7 has a leak of 0.0001 lbm/min of air, what will the pressure-time plot look
like, and what will be the final pressure? 

 

 

ex: 3.7 is posted 

Example 3.7.
The microchip diffusion furnace in Fig. 3.4 contains air,
which may be considered an ideal gas. The vacuum
pump is pumping air out prior to beginning the thermal
diffusion step. During the pumpout process the heating
coils in the tank hold the temperature in the tank
constant at 68 °F. The volumetric flow rate at the inlet of
the pump, independent of pressure, is 1.0 ft³/min. How
long does it take the pressure to fall from 1 atm to
0.0001 atm?
Volume 10 ft³
68°F
Heater
X Tenor
Vacuum
pump
Temperature
controller
Figure 3.4 Evacuation of a microchip
diffusion furnace.
Transcribed Image Text:Example 3.7. The microchip diffusion furnace in Fig. 3.4 contains air, which may be considered an ideal gas. The vacuum pump is pumping air out prior to beginning the thermal diffusion step. During the pumpout process the heating coils in the tank hold the temperature in the tank constant at 68 °F. The volumetric flow rate at the inlet of the pump, independent of pressure, is 1.0 ft³/min. How long does it take the pressure to fall from 1 atm to 0.0001 atm? Volume 10 ft³ 68°F Heater X Tenor Vacuum pump Temperature controller Figure 3.4 Evacuation of a microchip diffusion furnace.
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