Temperature and volume fraction of a liquid mixture

[alan]

I have known the interaction parameter of a certain liquid mixture

which has the phase behaviour can be described by the lattice model.
, is it possible for us to know the temperature at the critical point?

Besides, if we know the temperature at the critical point, can the volume fraction of the coexisting composition and that on the spinodal line at 273K be found?

Should it look like as follow?

I don't know should the spinodal is drawn like this ?

I have found some links on the question mentioned, it is related to the field of statistical mechanics, thermodynamics, soft matter.
https://en.wikipedia.org/wiki/Critical_point_(thermodynamics
https://en.wikipedia.org/wiki/Spinodal
I put it here for your reference and I later review more.

 

[Nate810]

Yes, it is possible to calculate the temperature at the critical point given the interaction parameter of a liquid mixture described by a lattice model. The temperature at the critical point can be calculated using the Van der Waals equation of state. Additionally, once the temperature of the critical point is known, the volume fraction of the coexisting composition and that on the spinodal line at 273K can be found by plotting the phase diagram for the liquid mixture. The phase diagram can be constructed by solving the lattice model's equations of state.