It has found that the Gibbs excess of a mixture of methanol and

isopropylamine can be described using the one$-$constant Margules model at a temperature

of $35C$ :

$G_{{?}^{?}}(Ex)=A{x}_1{x}_2$

where $A=8525\frac{J}{m}ol$ at this temperature.

Using this model, determine:

a$)$ If this system will undergo liquid$-$liquid phase separation at this temperature, and if

so$,$ for which range of compositions.

b$)$ The composition of the two liquid phases that will be produced, if phase separation is

possible.

c$)$ For $x_1=0\mathrm{.}32,$ is the single$-$phase mixture stable, unstable, or metastable? If unstable

or metastable, what is the change in Gibbs free energy for phase separation?