Solution
= Solution
The first law and Gibbs-Duhem relation give $d\Gamma=-S,dT+V,dp-N,d\mu$. Extensivity gives Euler's relation $E=TS-pV+\mu N$, hence $\Gamma=E-TS+pV-\mu N=0$.
= Solution
The first law and Gibbs-Duhem relation give $d\Gamma=-S,dT+V,dp-N,d\mu$. Extensivity gives Euler's relation $E=TS-pV+\mu N$, hence $\Gamma=E-TS+pV-\mu N=0$.