A Thermodynamic Mnemonic Diagram
183
U[T, P] = G
T, P
$-\left(\frac{\partial S}{\partial P}\right)_{T, N} = \left(\frac{\partial V}{\partial T}\right)_{P, N}$
dG = -SdT + VdP + µdN
T, N
$-\left(\frac{\partial S}{\partial N}\right)_{T, P} = \left(\frac{\partial \mu}{\partial T}\right)_{P, N}$
P, N
$\left(\frac{\partial V}{\partial N}\right)_{T, P} = \left(\frac{\partial \mu}{\partial P}\right)_{T, N}$ (7.17)