Liquid oxygen expansion in vaccum

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SUMMARY

The discussion revolves around the theoretical calculation of liquid oxygen distribution in a vacuum container at -190 degrees Celsius, where the boiling point of liquid oxygen is -180 degrees Celsius. The scenario involves two containers: one vacuum-sealed with a minimum height of 6000m and another filled with liquid oxygen at a density of 1140 kg/m³. The objective is to determine the appropriate amount of liquid oxygen required to ensure an even distribution in the vacuum container, avoiding concentration at the base.

PREREQUISITES
  • Understanding of thermodynamics, specifically phase changes of liquids and gases.
  • Knowledge of fluid dynamics, particularly in relation to gas distribution in containers.
  • Familiarity with the properties of liquid oxygen, including its density and boiling point.
  • Basic mathematical skills for volume and mass calculations.
NEXT STEPS
  • Research the principles of gas expansion in vacuum environments.
  • Study the thermodynamic properties of liquid oxygen, including its phase transition behavior.
  • Learn about fluid dynamics principles that govern mass distribution in containers.
  • Explore practical applications of liquid oxygen in aerospace engineering and its handling in vacuum conditions.
USEFUL FOR

Students preparing for national level competitions in physics, engineers working with cryogenic fluids, and researchers studying the behavior of gases in vacuum environments.

anubodh
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Homework Statement



There are 2 containers.Outside temperatue is -190 degree celsius.(boiling point of liquid oxygen is -180 degree celsius).One is filled with vacuum and can have a minimum height of 6000m and other is filled with liquid oxygen (1140 kg/m3 density) at -190 degree celsius which can have a miximum height of half the height of the other container.Both have 1m x 1m base.I want to know how much liquid oxygen should be put in the vacuum container so that when it occupies the entire vacuum container it is distributed nearly equally at both upper and lower half [and not like that it has more mass at the base and very few at the top].[Inside vacuum container it would form gas as its boiling point woul decrease].
Please reply...
I need this answer for a national level competition..
Thanks

Homework Equations





The Attempt at a Solution


 
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Even for a national level competition, you must do your own work. Even if the answer won, I doubt you would share the prize with PF.
 
Its not that answer to this question will get me a prize but it is a difficulty i am facing theoretically.So i want to clarify it before i start working on this project practically.
 

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