Time to pressurize a vessel of fixed volume

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SUMMARY

The discussion focuses on calculating the time required to pressurize a fixed-volume vessel from 1 atm to 60 psig using the ideal gas law (PV=nRT) and the combined gas law ((P1*V1)/T1=(P2*V2)/T2). The method involves determining the number of moles at both initial and final conditions, calculating the mass difference, and using the volumetric flow rate to derive the time needed for pressurization. The conversation also touches on the impact of temperature during the filling process, although no definitive answers were provided regarding the correct approach.

PREREQUISITES
  • Understanding of the ideal gas law (PV=nRT)
  • Knowledge of the combined gas law ((P1*V1)/T1=(P2*V2)/T2)
  • Familiarity with volumetric flow rate calculations
  • Basic principles of thermodynamics related to gas behavior
NEXT STEPS
  • Research the effects of temperature changes during gas pressurization
  • Learn about flow control valve specifications and their impact on pressurization
  • Explore advanced gas dynamics and compressible flow principles
  • Study real-world applications of the ideal gas law in engineering scenarios
USEFUL FOR

Engineers, process designers, and anyone involved in gas handling and pressurization systems will benefit from this discussion, particularly those working with fixed-volume vessels and flow control mechanisms.

TomG
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Hi,

I'm looking for a method to calculate how much time it will take to pressurize a vessel from 1 atm to 60 psig after a flow control valve is opened.

The method I was considering using is:

I was thinking about using PV=nRT and (P1*V1)/T1=(P2*V2)/T2 to determine the # of moles in the vessel at both the initial and final conditions. Then I was going to calculate the mass of the difference in moles from initial to final conditions. I was then planning on dividing the mass of the added moles by the density of the gas to get the additional volume of the gas added to the vessel. Last, I would use the volumetric flow rate in the gas supply line (the line with the flow control valve connected to the chamber) to derive the time required to supply the additional volume of gas containing the additional moles.

Is this method correct? If not, what is the right approach to solving for how long it will take to pressureize a vessel with incoming gas from P1 to P2?

Thank you in advance!
 
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What happens to the temperature while you are filling?

If you know V and T, then you can compute P and nR.
 
OP, If you are still active, did you ever find an answer?
-Metcon
 
METCON said:
OP, If you are still active, did you ever find an answer?
-Metcon
He hasn't been here in 7 years
 

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