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10.10: J- Thermodynamic Master Equations

  • Page ID
    19083
  • \(E(S, V, N)\)

    \( d E=T d S-p d V+\mu d N\)


    \( F(T, V, N)=E-T S\)

    \( d F=-S d T-p d V+\mu d N\)


    \( H(S, p, N)=E+p V\)

    \( d H=T d S+V d p+\mu d N\)


    \( G(T, p, N)=F+p V\)

    \( d G=-S d T+V d p+\mu d N\)


    \( \Pi(T, V, \mu)=F-\mu N=-p V\)

    \( d \Pi=-S d T-p d V-N d \mu\)


    \( p(T, \mu) \text { [intensive quantities only } ]\)

    \( d p=\mathcal{S} d T+\rho d \mu \quad[\mathcal{S}=S / V, \quad \rho=N / V]\)


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