This is the equationofstate function derived from G(T,P,N_{1},N) by differentiation with respect to N_{1}. Temperature is again fixed to give the equimolar criticalpoint composition. As expected, the surface forms a cusp catastrophe and covers the pressure range 1.1 > P_{r }> 0.8. The redyellowboundaries give states at the limit of stability as defined by the first diffusional stability criterion:
Note that when the data set is specified as N_{1}, N_{2}, …, N_{n1}, N rather than N_{1}, N_{2}, …, N_{n}, the correct chemicalpotential variable is
Scaling is then carried out using the total mole number N so as to give molar energies, molar entropies, etc., and compositions in mole fractions.
This surface is repeated in the next two images, but the pressure range is extended to successively lower values where the red (unstable) region begins to fold back on itself — a mathematical artifact only.
