A reducing gas mixture consisting of $24$mol$\%CO,4$mol$\%C{O}_2,60$mol$\%H_2$ and

$12$mol$\%H_{2}O$ is passed through a packed bed of wustite $($ FeO $)$ pellets held at

$1,100K.$ The pressure is maintained constant at $2\mathrm{.}8$atm. Assuming that the gas phase

and the solids are in equilibrium, calculate the composition of the exit gas phase

using the free energy minimisation method. The following data are given :

$C(s)+\frac{1}{2}{O}_2(g)=CO(g),G^o=-112,880-86\mathrm{.}51T,Jmo{l}^{-1}$

$C(s)+O_2(g)=C{O}_2(g),G^o=-394,760-0\mathrm{.}836T,Jmo{l}^{-1}$

$Fe(s)+\frac{1}{2}{O}_2(g)=$FeO$(s),G^o=-264,000+64\mathrm{.}59T,Jmo{l}^{-1}$

$H_2(g)+\frac{1}{2}{O}_2(g)=H_{2}O(g),G^o=-247,390+55\mathrm{.}85T,Jmo{l}^{-1}$