The amount of aluminum oxide(in moles) produced by reaction of 12.0 g of aluminum is 0.458
MM (Al) = 26.98 g/mol MM(O2) = 31.999 g/mol MM(Al2O3) = 101.96 g/mol
The reaction is as follows;
4Al + 3O2 = 2Al2O3
Number of moles of Al = 12 / 26.98 = 0.445 mol
Number of moles of oxygen gas : 11 / 31.999 = 0.344 mol
3 mol oxygen gas needs 4 mol O2
So 0.344 mol O2 will need : ( 0.344 x 4) / 3 = 0.458 mol Al
So Al is the limiting reagent.
4 mol Al makes 2 mol Al2O3
So 0.445 mol Al will make : 0.445 / 2 = 0.222 mol Al2O3
Mass of Al2O3 in grams : mol x molar mass
= 0.222 x 101.96
= 22.7 grams
4 moles Al use 3 mol O2
So 0.445 mol Al will use : ( 0.445 x 3) / 4 = 0.333 mol O2 (excess reagent)
Mass of O2 used = 0.333 x 31.999 = 10.7 grams
Mass of excess O2 left after reaction = 11 - 10.7 = 0.3 grams
Yes this answer makes sense because the mass of total reactant species must be equal to the sum of product species and excess reagent.
So here : 12 +11 = 23 g reactant
product formed is 22.7 g and excess reagent is 0.3 grams , so total : 22.7 + 0.3 = 23 g
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