4Al + 3O₂ ---> 2Al₂O₃
1) By looking at the balanced equation, you can see that 4 mol of Al needs 3 moles of O₂ to fully react . So to react 2.20 moles, how many moles of O₂ are necessary?
4 moles of Al -------------3 O₂
2,20 moles of Al-----------x
x= 1,65 moles of O₂ are needed.
You have more than 1,65 moles. In fact, there are 1,95 moles of O2. This means the Al is the limiting reagent.
2)For the theoretical yield to be maximum amount of product possible we need the limiting reagent, aluminum, to fully react.
So how many moles of Al₂O₃ we obtain, from the 2,20 moles of Al available to react?
4 moles of Al-----------2 moles of Al₂O₃
2,20 moles of Al --------x
x= 1,1 moles of Al₂O₃
the theoretical yield = 1,1 moles