Respuesta :

The balanced chemical equation is:
4 Al + 3 O₂ → 2 Al₂O₃
3 moles of oxygen ---gives--> 2 moles of Al₂O₃
0.78 mol of O₂   ---gives---> ? moles of Al₂O₃
So the number of moles of Al₂O₃ = (0.78 x 2) / 3 =0.52 mole 

Answer: The number of moles of [tex]Al_2O_3[/tex] produced will be 0.52 moles.

Explanation:

The chemical equation for the production of aluminium oxide form aluminium and oxygen follows the equation:

[tex]4Al+3O_2\rightarrow 2Al_2O_3[/tex]

By stoichiometry of the reaction:

3 moles of oxygen gas produces 2 moles of aluminium oxide.

So, 0.78 moles of oxygen gas will produce = [tex]\frac{2}{3}\times 0.78=0.52[/tex] moles of aluminium oxide

Hence, the number of moles of [tex]Al_2O_3[/tex] produced will be 0.52 moles.