Derive the thermodynamic identity for G (below equation),

Chapter 5, Problem 8P

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QUESTION:

Derive the thermodynamic identity for G (equation 5.23), and from it the three partial derivative relations 5.24.

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QUESTION:

Derive the thermodynamic identity for G (equation 5.23), and from it the three partial derivative relations 5.24.

ANSWER:

Step 1 of 6

The Gibbs free energy of the system is,

\(G=U-T S+P V\)

Here, G is the Gibbs free energy, U is the system's energy, T is the temperature, S is the entropy, P is the pressure, and V is the volume of the system.

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