Potential Energy of the Atmosphere

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SUMMARY

The discussion centers on the challenge of applying the hydrostatic relationship to express density (rho) and height (z) in terms of pressure (p) in atmospheric studies. A participant suggests that relying solely on the hydrostatic relationship may not yield useful results and recommends considering the ideal gas law as a more effective approach. The conversation emphasizes the importance of foundational knowledge in atmospheric physics for problem-solving.

PREREQUISITES
  • Understanding of the hydrostatic relationship in fluid mechanics
  • Familiarity with the ideal gas law and its applications
  • Basic knowledge of atmospheric pressure and density concepts
  • Ability to manipulate equations involving pressure, density, and height
NEXT STEPS
  • Study the derivation and applications of the hydrostatic relationship in atmospheric science
  • Explore the ideal gas law and its implications for atmospheric conditions
  • Investigate the relationship between pressure, density, and temperature in the atmosphere
  • Practice solving problems involving atmospheric pressure using both the hydrostatic relationship and the ideal gas law
USEFUL FOR

Students and professionals in atmospheric science, meteorology, and physics who are looking to deepen their understanding of atmospheric pressure dynamics and related equations.

boopdebeep
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Summary:: I have been trying to do this question for a while using the hydrostatic relationship to put rho and z in terms of p, however, I can not seem to end up with an answer. Can anyone suggest where to start.

The question is as follows:
1645941586363.png
 
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Helli @boopdebeep ,
:welcome: ##\qquad# !​
using the hydrostatic relationship to put rho and z in terms of p
might not be so useful. Do you know about the ideal gas law ?

btw: PF rules ask a bit more from you than just 'can't find an answer' ... :frown:

##\ ##
 

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