The Gibbs energy of a binary mixture is given by the following expression:

$g_{\text{m}\text{i}\text{x}\text{i}\text{n}\text{g}}=RT[x_{a}ln{x}_a+x_{b}ln{x}_b]+1000x_a{x}_b[\frac{J}{\text{m}\text{o}\text{l}}]$

where $R$ is the ideal gas constant and $T$ is in $[$K$].$ For a mixture at $298K$ with the following mole

fractions, calculate $\frac{?}{\text{b}\text{a}\text{r}}(G{)}_a-g_a.$

a$.x_a=1$

b$.x_a=0\mathrm{.}4$

c$.x_a=0($a in infinite dilution$)$