Time to pressurize a vessel of fixed volume

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Discussion Overview

The discussion focuses on calculating the time required to pressurize a vessel from 1 atm to 60 psig after opening a flow control valve. It involves theoretical considerations related to gas laws and the dynamics of gas flow into a fixed volume vessel.

Discussion Character

  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • The original poster (OP) proposes using the ideal gas law (PV=nRT) and a variation of it to determine the number of moles in the vessel at initial and final conditions to calculate the time required for pressurization.
  • Some participants question the impact of temperature on the process while filling the vessel, suggesting that knowing the volume and temperature is essential for computing pressure and the number of moles.
  • A participant inquires whether the OP has found an answer to their question, indicating a lack of follow-up or resolution from the original poster.

Areas of Agreement / Disagreement

The discussion does not reach a consensus on the method proposed by the OP, and there are multiple viewpoints regarding the importance of temperature during the filling process.

Contextual Notes

Participants have not fully explored the implications of temperature changes during the pressurization process, which may affect the calculations. There is also uncertainty regarding the completeness of the OP's proposed method.

Who May Find This Useful

This discussion may be useful for individuals interested in gas dynamics, engineering applications involving pressurization, or those studying the ideal gas law in practical scenarios.

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!
 
Engineering news on Phys.org
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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