Air pressure changes in a vessel as the vessel volume increases

[shotdove]

Homework Statement

Pneumatics

Relevant Equations

Unknown

As an example, you have a 100-gallon capacity sealed pressure vessel containing 100 psi of air pressure. What is the change in air pressure as the vessel volume is increased? If the volume is doubled is the pressure reduced to 50 pounds psi. On a graph, is the reduction rate a straight line? Is the pressure drop a percentage of the reduction in volume? What would the formula be for answering this question? Thank you

 

[BvU]

Hello,

​

Here at PF we promote self-sufficiency ! Just google pressure versus volume and out comes the answer !



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[erobz]

Homework Statement: Pneumatics
Relevant Equations: Unknown

As an example, you have a 100-gallon capacity sealed pressure vessel containing 100 psi of air pressure. What is the change in air pressure as the vessel volume is increased? If the volume is doubled is the pressure reduced to 50 pounds psi. On a graph, is the reduction rate a straight line? Is the pressure drop a percentage of the reduction in volume? What would the formula be for answering this question? Thank you

Truthfully, it depends on the nature of the expansion. I assume you have not examined the Ideal Gas Law in any detail (or perhaps not at all)?

 

[shotdove]

Hello,

​

Here at PF we promote self-sufficiency ! Just google pressure versus volume and out comes the answer !



$\$

Perfect, thank you.

 

[shotdove]

Hello,

​

Here at PF we promote self-sufficiency ! Just google pressure versus volume and out comes the answer !



$\$

Perfect. Thank you, and my Mom said thank you very much for being so helpful.

 

[BvU]

Perfect. Thank you, and my Mom said thank you very much for being so helpful.

You are most welcome. That's what PF is for.

Next step could be the ideal gas law

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[Delta2]

There are many different state equations relating Pressure Temperature , Volume and density of gas. The ideal gas law is just one of them.

Not sure if the air behaves as ideal gas at 100Psi and at the given temperature (btw you omit the Temperature, not that it matters if we are given that air behaves as ideal gas for this problem).

 

[jbriggs444]

Not sure if the air behaves as ideal gas at 100Psi and at the given temperature (btw you omit the Temperature, not that it matters if we are given that air behaves as ideal gas for this problem).

An ideal gas with a non-zero density will have its temperature affected by an adiabatic expansion.

 

[BvU]

Let's not make things more complicated than needed to help the OP ...

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