Maxwell Relation, Gibbs Free Energy, Thermal expansion

AI Thread Summary
The discussion focuses on proving that the thermal expansion coefficient β is zero at absolute zero temperature (T = 0) using a Maxwell relation derived from Gibbs free energy and the third law of thermodynamics. Participants express the need for clarity in the problem statement, suggesting the use of a homework template for better organization. There is a request for clearer images of the work submitted, as the current format is difficult to read. The conversation emphasizes the importance of proper formatting to facilitate assistance. Overall, the thread highlights the intersection of thermodynamics principles and the necessity for clear communication in academic inquiries.
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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