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The Gibbs energy can be used to predict phase separation. We derived the Gibbs energy of a mixture as g = ? ? x i

The Gibbs energy can be used to predict phase separation. We derived the Gibbs energy of a mixture as
g=??xigi+RT??xilnxi+gE. Use a reference state of the pure species at system T and P so the first
term is zero. This is then equivalent to gmix(gmix=RT??xilnxi+gE). For the following mixtures,
assume the three-suffix Margules equation accurately models gE.
a) Given a mixture of species a and b,a=6 and b=32. Plot gmixRT vs xa and determine the
number of phases, the composition of each phase, and overall gmixRT for the solution at
(i)xa=0.1,(ii)xa=0.5, and (iii)xa=0.8.
b) Is a miscible, partially miscible, or immiscible in b?
c) Given a mixture of species a and c,a=0.8 and c=0.2. Plot gmixRT vs xa and determine the
number of phases, the composition of each phase, and overall gmixRT for the solution at
(i)xa=0.1,(ii)xa=0.5, and (iii)xa=0.8.
d) Is a miscible, partially miscible, or immiscible in c?
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