Legendre Transform Homework Statement and Solution Attempt

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The discussion revolves around a homework problem related to the Legendre transform, specifically transitioning from internal energy U to Gibbs free energy G. The participant expresses uncertainty about how to initiate the Legendre transform process. There is a clear need for guidance on the steps involved in this transformation. The lack of provided equations highlights the challenge in approaching the problem. Overall, the conversation emphasizes the complexities of applying the Legendre transform in thermodynamics.
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Homework Statement


The problem is in the attached .PNG file.

Homework Equations


none

The Attempt at a Solution


I believe I am supposed to do a Legendre transform but have no idea where to begin...
 

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Haven't you seen how to go, for instance, from the internal energy U to the Gibbs free energy G?
 

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