Studying auxiliary functions for thermodynamics

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SUMMARY

This discussion focuses on studying auxiliary functions in thermodynamics, specifically proving relationships involving derivatives. A key relationship discussed is (∂S/∂V)(p constant) = Cp/T(α)V. Participants emphasize the importance of manipulating derivatives and understanding differentiating rules to solve such problems effectively. The Bridgeman transformation table is highlighted as a valuable resource for further study.

PREREQUISITES
  • Understanding of thermodynamic concepts such as entropy and heat capacity.
  • Familiarity with partial derivatives and their applications in thermodynamics.
  • Knowledge of differentiating rules and techniques.
  • Experience with the Bridgeman transformation table and its relevance in thermodynamic calculations.
NEXT STEPS
  • Study the application of partial derivatives in thermodynamics.
  • Learn about the Bridgeman transformation table and its uses in thermodynamic analysis.
  • Explore advanced differentiating techniques and rules applicable to thermodynamic functions.
  • Practice solving thermodynamic problems involving auxiliary functions and their relationships.
USEFUL FOR

Students and professionals in thermodynamics, particularly those studying auxiliary functions and their applications in thermodynamic relationships.

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right now, I'm studying auxiliary functions for thermodynamics, and I'm stuck on how to prove relationships for different functions...
for example,
Show that (partial S/ partial V)(p constant)= Cp/T(alpha)V?
how do you think for this type of question?
 
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You really should play with the derivatives. It's just gymnastics. Someone could do it for you and it may look so easy, but you won't learn anything from it.
Have a look at the different differentiating rules ('tricks' in this case), the relation you should end up with and try to see what would be a good path to take.
Why don't you show what you have tried so far.

BTW: Be grateful when you reach the Bridgeman transformation table.
 

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