Increase gas pressure in unchanged volume

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SUMMARY

To increase the gas pressure from 1 bar to 6 bar in a fixed volume of 36 m³, the ideal gas law must be applied, specifically the equation pV/T = constant. The required volume of gas to achieve this pressure increase is contingent upon understanding Standard Temperature and Pressure (STP) and the concept of moles, which quantifies the amount of gas in a system. The compressor mentioned has a maximum working pressure of 7 bar and a flow rate of 185 l/s, but calculations should focus on the gas dynamics within the container. The temperature will rise during compression, necessitating adjustments post-compression to maintain the desired pressure.

PREREQUISITES
  • Understanding of the Ideal Gas Law
  • Knowledge of Standard Temperature and Pressure (STP)
  • Familiarity with gas dynamics and moles
  • Basic calculation skills for gas volume and pressure
NEXT STEPS
  • Study the Ideal Gas Law in detail
  • Learn about Standard Temperature and Pressure (STP) and its implications
  • Explore gas dynamics and how temperature affects pressure in fixed volumes
  • Utilize online calculators for gas volume and pressure calculations
USEFUL FOR

Engineers, physicists, and anyone involved in gas compression systems or studying thermodynamics will benefit from this discussion.

wli
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Situation:
Start pressure: p1=1 bar;
Volume: V=36m3;
Temp.: T1=T.

Now I need to increase the pressure to 6 bar, but the volume remains unchanged. So:
End pressure: p2=6 bar;
Volume: V=36m3;
Temp.: T2=T.

So volume and temperature remain unchanged.

What amount of gas (m3) do I need to add to increase the pressure with 5 bar (p2-p1).

Compressor gives 185 l/s, max. working pressure is 7 bar.

I know p*V/T=p*V/T but I'm struggling to calculate the required volume.


Werner
 
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You haven't given any calculations of your own. Anyway, think of the ideal gas law in its exact form. I hope you are right about the two temps being the same.
 
wli said:
Situation:
Start pressure: p1=1 bar;
Volume: V=36m3;
Temp.: T1=T.

Now I need to increase the pressure to 6 bar, but the volume remains unchanged. So:
End pressure: p2=6 bar;
Volume: V=36m3;
Temp.: T2=T.

So volume and temperature remain unchanged.

What amount of gas (m3) do I need to add to increase the pressure with 5 bar (p2-p1).

Compressor gives 185 l/s, max. working pressure is 7 bar.

I know p*V/T=p*V/T but I'm struggling to calculate the required volume.


Werner

Try ignoring the numbers for the compressor and imagine the container only.
 
Any calculations you make will have to take into account STP or Standard Temperature and Pressure. You also have to know that to raise the pressure in a fixed volume container will also raise the temperature. But then after you have raised the pressure, and the temp went up with it, the pressure will drop as you let the compressed gas cool to the original temp. The whole thing is a dynamic system in which changing anyone factor will change the other two.

First you have to understand STP so follow this first link for a tutorial.

http://searchcio-midmarket.techtarget.com/sDefinition/0,,sid183_gci539342,00.html

Converting all calculations to STP after the fact gives you a basis to make comparisons.

Another helpful tutorial is the one on an "Ideal Gas" and you can find it at the next link

http://hyperphysics.phy-astr.gsu.edu/hbase/kinetic/idegas.html

Finally you are missing one factor in your question and that is the term "mole" which refers to the absolute quantity of gas in any fixed volume system at any temperature and pressure.

The next link is to a calculator to allow you to figure out all the info you needto know to achieve your goal.

http://www.1728.com/stp2.htm
 
Last edited:

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