J.R. S. answered 11/07/19
Ph.D. University Professor with 10+ years Tutoring Experience
Since the conditions stated are STP (standard temperature and pressure), we can use the fact that 1 mole of gas (ideal) will equal 22.4 liters. But first, we must write a correctly balanced equation for the reaction taking place:
2Mg(s) + O2(g) ==> 2MgO ... balanced equation
Find moles of Mg present:
124 g Mg x 1 mole Mg/24.31 g = 5.100 moles Mg
Find moles O2 needed to react with 5.100 moles of Mg:
5.100 moles Mg x 1 mole O2 / 2 mole Mg = 2.55 moles O2
Find volume of O2 represented by 2.55 moles of O2 at STP:
2.55 moles O2 x 22.4 liters / mole = 57.1 liters of O2