Derivation of ideal gas equation

AI Thread Summary
The discussion centers on the derivation of the ideal gas equation, questioning the correctness of an approach that relies on empirical laws like Boyle's Law. Participants express a desire for a more rigorous derivation based on statistical mechanics and kinetic gas theory, which typically involves more algebraic manipulation. It is noted that the ideal gas law is essentially a combination of fundamental gas laws, including Boyle's, Charles's, Gay-Lussac's, and Avogadro's laws. Some participants argue that the derivation is straightforward, as it involves stitching these laws together rather than a complex mathematical process. Overall, the conversation highlights the distinction between empirical derivations and those grounded in theoretical frameworks.
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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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