Maxwells relations for an open system

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SUMMARY

This discussion centers on the derivation of Maxwell's relations for open systems, contrasting them with the established equations for closed systems. The participant has successfully learned about chemical potential and fundamental relations applicable to open systems, suggesting that their derivations may lead to more generalized Maxwell's relations. They seek validation of their mathematical approach and its relevance to existing theories. The inquiry highlights the potential for expanding the understanding of thermodynamic principles in open systems.

PREREQUISITES
  • Understanding of Maxwell's relations in thermodynamics
  • Familiarity with chemical potential concepts
  • Knowledge of fundamental thermodynamic relations
  • Basic proficiency in mathematical derivation techniques
NEXT STEPS
  • Research the derivation of Maxwell's relations for open systems
  • Study the implications of chemical potential in thermodynamic processes
  • Examine existing literature on generalized Maxwell's relations
  • Explore advanced thermodynamic concepts related to open systems
USEFUL FOR

This discussion is beneficial for thermodynamic researchers, graduate students in physics or chemistry, and anyone interested in expanding their knowledge of Maxwell's relations in the context of open systems.

gfd43tg
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HelloI have learned about maxwells relations and can derive them. I noticed that we had made an assumption of a closed system.

We just learns about chemical potential and the fundamental relations for an open system. I had a thought experiment that there may exist maxwells relations for an open system that is more general than the ones I previously learned. I tried deriving them in the same way as the closed system equations and attached what I came up with. I was wondering if what I'm trying to do is nonsensical, and if so why is it, or if my math is wrong but I'm on the right track towards something real if I could get some input.

Thanks

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I think I am onto something with this hypothesis, I have gotten further in the chapter and they seem to use maxwell's relations, but I am not quite following their work.
 

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