Antimony is obtained by heating pulverized stibnite $(S{b}_2{S}_3)$ with scrap iron and drawing off the molten antimony from the bottom of the reaction vessel:

$S{b}_2{S}_3+3Fe2Sb+3$FeS

Suppose that $1\mathrm{.}200kg$ of stibnite and $0\mathrm{.}50kg$ of iron turnings are heated together to give $0\mathrm{.}400kg$ of $Sb$ metal. Determine

a$.$ The limiting reactant

b$.$ The percentage of excess reactant

c$.$ The degree of completion $($fraction$)$

d$.$ The percent conversion based on the limiting $S{b}_2{S}_3$

e$.$ The yield in kilograms of $Sb$ produced per kilogram of $S{b}_2{S}_3$ fed to the reactor M$.$wt of $S{b}_2{S}_3=339\mathrm{.}7,Fe=55\mathrm{.}85,Sb=121\mathrm{.}8,$FeS$=87\mathrm{.}91$