Derivation of ideal gas equation

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Discussion Overview

The discussion centers on the derivation of the ideal gas equation, exploring various approaches and interpretations of what constitutes a derivation. Participants reference empirical laws and theoretical frameworks, including statistical mechanics and kinetic gas theory.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant questions the correctness of a proposed derivation approach and seeks clarification on the original file's visibility.
  • Another participant notes that the initial lines of the derivation appear to reference empirical laws like Boyle's Law, suggesting that a more rigorous algebraic approach from statistical mechanics is expected.
  • A participant expresses a desire to derive the ideal gas equation from fundamental gas laws, indicating familiarity with kinetic theory.
  • One participant asserts that the ideal gas law is essentially a combination of simpler laws, implying that the derivation may not be extensive.

Areas of Agreement / Disagreement

Participants express differing views on the nature of the derivation, with some emphasizing the empirical basis of the laws involved and others advocating for a more theoretical approach. No consensus is reached regarding the adequacy of the proposed derivation.

Contextual Notes

Participants highlight the potential limitations of relying on empirical laws versus theoretical frameworks, as well as the expectation for a more detailed mathematical treatment in the derivation process.

Soumalya
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Is the following approach used for the derivation of the ideal gas equation correct?

Here's the link: http://www.mikeblaber.org/oldwine/chm1045/notes/Gases/IdealGas/Gases04.htm
 

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The photo is way too small to be seen...Do you have the link to the original file?

Also what is meant by your 'derivation'? The first few lines seem to be Boyle's Law and similar which is empirical. If you mean deriving from statistical mechanics and kinetic gas theory, I expect more algebra though.
 
Here's the link: http://www.mikeblaber.org/oldwine/chm1045/notes/Gases/IdealGas/Gases04.htm
 
ZealScience said:
Also what is meant by your 'derivation'? The first few lines seem to be Boyle's Law and similar which is empirical. If you mean deriving from statistical mechanics and kinetic gas theory, I expect more algebra though.

I wish to arrive at the ideal gas equation from the fundamental gas laws viz. Boyle's law,Charle's law,Gay-Lussac's law and Avogadro's law.I am familiar with the derivation of the ideal gas equation from the kinetic theory of gases.
 
Yes, the ideal gas law is the combination of all these simpler laws. There isn't much of a derivation to be had though. You just stitch them together.
 

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