$(17\%)$ The vapor pressure of pure liquid A varies with temperature as: $lnP(atm)=-\frac{7000}{T}-5\mathrm{.}465lnT+23\mathrm{.}3.$ The Gibbs free energy of pure vapor $A$ at $1at\frac{m}{300}K$ is $.$ At $300K,0\mathrm{.}7$ mole of liquid $A$ is mixed with $0\mathrm{.}3$ mole of liquid $B$ to form an ideal solution. Find: $($a$)$ the vapor pressure of the of pure liquid $A$; $($b$)$ Gibbs free energy of pure liquid A$,G_{\text{A}\text{l}\text{i}\text{q}}$; $($c$)$ partial pressure of A over the $A-B$ solution; Gibbs free energy due to formation of this $A-B$ solution $($i$.$e$.G^M$ at $xA=0\mathrm{.}7)?$