
Louis L. answered 05/25/24
Three decades of successful science education for you!!
This is a limiting reactant (LR) problem. You always get this scenario when you are given the amounts of both reactants and asked for a theoretical yield. The game plan here is to determine how many moles of Fe2O3 can be made from EACH reactant. The one that produces less will be your LR and will determine how much product is produced.
First, we need a balanced equation:
_4__Fe(s) + ___3__O2(g) ----> __2___Fe2O3(s)
26.1g 78.4g X mol or g
26.1 g Fe x ______1________mol Fe x ___2___________mol Fe2O3 = 0.221 mol Fe2O3
58.84 g Fe 4 mol Fe
78.4 g O2 x ______1________mol O2 x _____2_________mol Fe2O3 = 1.634 mol Fe2O3
32 g O2 3 mol O2
The reaction will stop when the Fe runs out so Fe is the LR.
Now, the theoretical yield (in grams) can be determined:
0.221 mol Fe2O3 x ___164.85________g Fe2O3 = 36.43 g Fe2O3
1 mol Fe2O3_