Discussion
Match each thermodynamic potential with its natural variables.
List I
A. Internal energy
B. Enthalpy
C. Helmholtz energy
D. Gibbs energy
List II
1. temperature and volume
2. entropy and volume
3. temperature and pressure
4. entropy and pressure
Answer: B
The Legendre transformation that defines each potential swaps one variable for its conjugate, which is why the four pairs form a neat pattern. Choosing the potential whose variables you control is what makes a problem tractable.
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