Aluminum oxide (Al2O3) and iron (Fe) react according to the following balanced equation:4Al2O3 + 9Fe → 3Fe3O4 + 8AlIf there are 10.2 grams of Al2O3 and 11.2 grams of Fe, which statement identifies the limiting reagent in this reaction and best supports that claim?A.Al2O3 is the limiting reagent, because there are fewer grams of it present.B.Fe is the limiting reagent, because 9 moles of Fe are required for every 4 moles of Al2O3.C.Fe is the limiting reagent, because the reaction requires nearly twice the mass of Fe as of Al2O3.D.Al2O3 is the limiting reagent, because there are only 0.1 moles of Al2O3 and twice as many moles of Fe.
Question
Aluminum oxide (Al2O3) and iron (Fe) react according to the following balanced equation:4Al2O3 + 9Fe → 3Fe3O4 + 8AlIf there are 10.2 grams of Al2O3 and 11.2 grams of Fe, which statement identifies the limiting reagent in this reaction and best supports that claim?A.Al2O3 is the limiting reagent, because there are fewer grams of it present.B.Fe is the limiting reagent, because 9 moles of Fe are required for every 4 moles of Al2O3.C.Fe is the limiting reagent, because the reaction requires nearly twice the mass of Fe as of Al2O3.D.Al2O3 is the limiting reagent, because there are only 0.1 moles of Al2O3 and twice as many moles of Fe.
Solution
To identify the limiting reagent, we need to determine which reactant runs out first during the reaction. This is done by comparing the mole-to-mole ratio of the reactants with the actual amount of each reactant present.
First, we need to calculate the number of moles of each reactant.
The molar mass of Al2O3 is approximately 101.96 g/mol and the molar mass of Fe is approximately 55.85 g/mol.
Number of moles of Al2O3 = 10.2 g / 101.96 g/mol = 0.1 mol Number of moles of Fe = 11.2 g / 55.85 g/mol = 0.2 mol
The balanced chemical equation tells us that 4 moles of Al2O3 react with 9 moles of Fe. Therefore, the mole ratio of Al2O3 to Fe is 4:9.
If we have 0.1 moles of Al2O3, we would need 0.1 * (9/4) = 0.225 moles of Fe for the reaction to go to completion. However, we only have 0.2 moles of Fe.
Therefore, Fe is the limiting reagent because it will be used up before Al2O3. This corresponds to option B: "Fe is the limiting reagent, because 9 moles of Fe are required for every 4 moles of Al2O3."
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