Analyzing the Gibbs Energy of a Mixture to Determine Whether It Is an Ideal Mixture
Experimentally (as will be described in Sec. 10.2) it has been found that the Gibbs energy for a certain binary mixture has the form
\underline{G}_{\operatorname{mix}}(T, P, \underline{x})=\sum_{ i =1}^{2} x_{ i } \underline{G}_{ i }(T, P)+R T \sum_{ i =1}^{2} x_{ i } \ln x_{ i }+a x_{1} x_{2} (**)
where a is a constant. Determine whether this mixture is an ideal mixture.