Question: 1 Maxwell relations We learnt about the four thermodynamic potentials (U, H, G, and A) in the class: U =TS - PV A = U

1 Maxwell relations We learnt about the four thermodynamic potentials (U, H, G, and A) in the class: U =TS - PV A = U -TS G = A + PV H = U + PV Recall the total differential of any function f(x, y): df = + dy Derive the following Maxwell's relations for the Gibbs free energy and the Helmholtz free energy starting from their differential forms and assuming fixed number of particles in the system: AT ap T and Ap as OT Ov T

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