Respuesta :
We are given that balanced chemical reaction:
2 Al + Fe2O3 ---> Al2O3 + 2 Fe
1. To solve this, we must first determine the limiting reactant.
Calculate the number of moles of each reactant. (Al = 27 g/mol; Fe2O3 = 159.69 g/mol)
moles Al = 118 g / (27 g/mol) = 4.37 moles
moles Fe2O3 = 601 g / (159.69 g/mol) = 3.76 moles
The limiting reactant is the one which has lower moles/stoichiometric coefficient ratio:
Al = 4.37 / 2= 2.185
Fe2O3 = 3.76 / 1 = 3.76
So we can see that Al is the limiting reactant.
2. Calculate the mass (in grams) of Al2O3 formed
We based our calculation on the limiting reactant which is Al. From stoichiometry, 1 mole Al2O3 is formed for every 2 moles Al, therefore:
moles Al2O3 = 4.37 moles Al * (1 mole Al2O3 / 2 moles Al) = 2.185 moles Al2O3
Molar mass of Al2O3 is 101.96 g/mol, so mass is:
mass Al2O3 = 2.185 mol * 101.96 g/mol
mass Al2O3 = 222. 78 grams
3. The excess reagent is Fe2O3. From stoichiometry, 1 mole of Fe2O3 is consumed per 2 moles Al consumed, therefore:
moles Fe2O3 consumed = 4.37 moles Al * (1 mole Fe2O3 / 2 moles Al) = 2.185 moles
So remaining Fe2O3 is:
moles Fe2O3 remaining = 3.76 – 2.185 = 1.575 moles
In mass:
mass Fe2O3 remaining = 1.575 moles * (159.69 g/mol)
mass Fe2O3 remaining = 251.51 grams --> excess reactant