$1.(5)$ Briefly discuss the following:

a$)$ If the temperature of a solution increases upon dissolving a small quantity of solute

adiabatically, what can you say about the behavior of this solution?

b$)$ The equilibrium vapor pressure of i over solution is $P_i$ and over pure $i$ is $P_i^o,$ if $P_i>P_i^o{x}_i.$

What does this imply about the behavior solution?

$2.(10$p$)$ The values of relative partial molar Gibbs energies of FeO in FeO$-$CaO liquid

solutions when $x_{\text{F}\text{e}\text{O}}=0\mathrm{.}3$ are as follows:

a$)$ Show that these solutions are regular.

b$)$ Find values of ${}_{\text{F}\text{e}\text{O}}$ at $1923$ and $2023K.$

c$)$ Find Henry's activity coefficient of CaO at $1973K.$

d$)$ Discuss the behavior of components in liquid solution.

Gas constant $R=8\mathrm{.}314\frac{J}{m}ol.K$