A thermodynamic function G(T, P, N) = U - TS + PV is given in terms of the internal energy U, temperature T, entropy S, pressure P, volume V and the number of particles N. Which of the following relations is true? (In the following μ is the chemical potential.)

1
\(S=-\left.\frac{\partial G}{\partial T}\right|_{N, P}\)
2
\(S=\left.\frac{\partial G}{\partial T}\right|_{N, P}\)
3
\(V=-\left.\frac{\partial G}{\partial P}\right|_{N, T}\)
4
\(\mu=-\left.\frac{\partial G}{\partial N}\right|_{P, T}\)

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