Maxwell Relation, Gibbs Free Energy, Thermal expansion

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SUMMARY

The discussion centers on proving that the thermal expansion coefficient β equals zero at absolute zero temperature (T = 0) using a Maxwell relation derived from Gibbs free energy and the third law of thermodynamics. Participants emphasize the importance of clear presentation in homework submissions, indicating that the original post lacked clarity due to poor formatting. The need for structured questions in academic forums is highlighted to facilitate better assistance.

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  • Understanding of Maxwell relations in thermodynamics
  • Familiarity with Gibbs free energy concepts
  • Knowledge of the third law of thermodynamics
  • Basic principles of thermal expansion
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Tian En
By means of a Maxwell relation derived from the Gibbs free energy and making use of the third law of thermodynamics, prove that the thermal expansion coefficient β must be zero at T = 0.

I tried but I got something funny.

My working:
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This seems to be homework - please use the homework template and post the reformatted question in the homework subforum. Also your cell pone snapshot ius hard to read. We want to help, but this makes it even harder to do so. Thanks for understanding.
 

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