Vacuum Problem (pumping speed and pressure as a functino of time)

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SUMMARY

The discussion focuses on calculating and plotting pressure and pumping speed in vacuum technology using the equation Pt=Ps + (Po-Ps)e^-st/v. Key variables include vessel volume, cylindrical pipe dimensions, and initial pump speed. The effective pumping speed is derived from conductance, expressed as 1/s=1/so-1/c. The relationship between pressure, volume, and suction flow is established through the equation p.V = m R T, emphasizing the need for accurate measurements of dp and dT over time.

PREREQUISITES
  • Understanding of vacuum technology principles
  • Familiarity with the equation of state for gases (p.V = m R T)
  • Knowledge of conductance in vacuum systems
  • Basic calculus for time-dependent equations
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  • Learn about the impact of conductance on vacuum performance
  • Study the relationship between pressure and volume in gas dynamics
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Experimental physicists, vacuum technology engineers, and anyone involved in designing or optimizing vacuum systems will benefit from this discussion.

minna233
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Hi,

I am in experimental physics and having some problems with a question about vacuum technology. They want you to calculate and plot the pressure and pumping speed at the vessel as a function of time. They give you vessel volume, the cylindrical pipe dimensions, and the initial pump speed. I started using this equation; Pt=Ps + (Po-Ps)e^-st/v and conductance which is 1/s=1/so-1/c. If you can get effective pumping speed from this wouldn't it be constant and not changing with time? Thank you.
 
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the equataion to start is p.V = m R T

p is the pressure (vacuum) in the chamber (of volume V),

looking for dp and dT, m becomes the suction flow of your pump,

=> t = (V/CAP).Ln (p1/p2), CAP is the volumic flow of the vacuum pump

pls refer to: http://vacuum-guide.com/english/equipment/technikfaq.htm
 

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