Answer: 1.8 moles Fe and 2.7 moles [tex]CO_2[/tex] are produced.
Explanation:
The balanced chemical reaction is:
[tex]Fe_2O_3+3CO\rightarrow 2Fe+3CO_2[/tex]
According to stoichiometry :
3 moles of [tex]CO[/tex] require 1 mole of [tex]Fe_2O_3[/tex]
Thus 2.7 moles of [tex]CO[/tex] will require=[tex]\frac{1}{3}\times 2.7=0.9moles[/tex] of [tex]Fe_2O_3[/tex]
Thus [tex]CO[/tex] is the limiting reagent as it limits the formation of product and [tex]Fe_2O_3[/tex] is the excess reagent.
As 3 moles of [tex]CO[/tex] give = 2 moles of [tex]Fe[/tex] and 3 moles of [tex]CO_2[/tex]
Thus 2.7 moles of [tex]CO[/tex] will give =[tex]\frac{2}{3}\times 2.7=1.8moles[/tex] of [tex]Fe[/tex] and [tex]\frac{3}{3}\times 2.7=2.7moles[/tex] of [tex]CO_2[/tex]
Thus 1.8 moles Fe and 2.7 moles [tex]CO_2[/tex] are produced.