Drop in pressure, what volume is left?

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SUMMARY

The discussion centers on calculating the remaining volume of Liquid Nitrogen in a vessel after a pressure drop from 100 Psi to 47 Psi due to a leak. The user initially considers using the ideal gas law equation P1V1 = P2V2 but questions its applicability in this scenario, suspecting that it only applies to closed systems. The conversation highlights the need for additional information to accurately determine the volume lost or remaining, indicating that the problem may be under-defined.

PREREQUISITES
  • Understanding of the ideal gas law, specifically P1V1 = P2V2.
  • Basic knowledge of pressure and volume relationships in gases.
  • Familiarity with the properties of Liquid Nitrogen.
  • Concept of closed vs. open systems in thermodynamics.
NEXT STEPS
  • Research the properties of Liquid Nitrogen and its behavior under pressure changes.
  • Study the ideal gas law and its limitations in open systems.
  • Explore thermodynamic principles related to pressure and volume in gases.
  • Learn about leak detection methods for pressurized vessels.
USEFUL FOR

Students studying thermodynamics, engineers working with cryogenic fluids, and anyone involved in pressure vessel design and safety assessments.

Hexxor
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Homework Statement



There is a vessel with 10 Liters of Liquid Nitrogen.
The normal pressure is 100 Psi.
After a couple hours the pressure is dropped to 47 Psi because of leak in the vessel.

How much of the Liquid Nitrogen did we lose/is left in the vessel?

Homework Equations



I'm really not sure. I thought about P1V1 = P2V2, but I don't think that will work here.

The Attempt at a Solution



Using P1V1 = P2V2 I got an answer, but I think that will only work for a closed system (drop in pressure means increase in volume and vice versa)

So, does anyone have an idea how to solve this?
 
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What is the exact wording of this problem (not your paraphrasing)? There seems to be information missing.

Chet
 

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