We are given the reaction:
4 Al + 3 O₂ → 2 Al₂O₃
___________________________________________________________
Finding moles of Al reacted:
from which, we can deduce that 4 moles of Al produces 2 moles of Al₂O₃
Ratio between their moles:
Moles of Al / Moles of Al₂O₃
4 / 2 = 2 / 1
so,
Moles of Al / Moles of Al₂O₃ = 2
Moles of Al = 2* Moles of Al₂O₃
we are given that 5 moles of Al₂O₃ are formed, replacing the value:
Moles of Al = 2*5
Moles of Al = 10 moles
___________________________________________________________
Finding moles of O₂ reacted:
from the given equation, we can also say that 4 moles of Al react with 3 moles of O₂
Moles of Al / Moles of O₂ = 4 / 3
3 * (Moles of Al) = 4* (Moles of O₂)
we know that 10 moles of Al reacted,
3 * (10) = 4 * (moles of O₂)
Moles of O₂ = 30/4
Moles of O₂ = 7.5 moles