Assignment$-5$

In the study of carbothermic reduction of $A{l}_2{O}_3$ to form $Al(l),$ liquid aluminum is con$-$

tained in a graphite crucible and equilibriated with $CO$ gas at $2300K.$ The total pres$-$

sure over the system is $1$atm. $($a$)$ Calculate the partial pressures of $Al(v),A{l}_{2}O(g)$ and

$CO(g)$ in the system for the metal being aluminum $(a_{Al}=0\mathrm{.}8)$ plus carbon. Other

vapor species may be ignored. $($b$)$ What would the partial pressures of $Al(v),A{l}_{2}O(g)$

and $CO(g)$ for the case when $a_{Al}=0\mathrm{.}1?$

Given that:

$Al(l)=Al(v),G_1=72,000-25\mathrm{.}9T,calmo{l}^{-1}$

$2Al(l)+\frac{1}{2}{O}_2(g)=A{l}_{2}O(g),G_2=-44,100-10\mathrm{.}13T,calmo{l}^{-1}$

$C(s)+\frac{1}{2}{O}_2(g)=CO(g),G_3=-28,500-19\mathrm{.}91T,calmo{l}^{-1}$

$C(s)+O_2(g)=C{O}_2(g),G_4=-94,800-0\mathrm{.}02T,calmo{l}^{-1}$