Solid iron(III) oxide reacts with hydrogen gas (to form iron and water. How many grams of iron are produced when 325.79 grams of iron(III) oxide are reacted?

Respuesta :

Exlanation:

Solid iron(III) oxide reacts with hydrogen gas to form iron and water. The balanced equation of our reaction is:

Fe₂O₃ + 3 H₂ ----> 2 Fe + 3 H₂O

First we have to convert the mass of iron (III) oxide to moles. We can use the molar mass of Fe₂O₃ to do that.

molar mass of Fe₂O₃ = 159.69 g/mol

moles of Fe₂O₃ = 325.79 g * 1 mol/(159.69 g)

moles of Fe₂O₃ = 2.0401 moles

Fe₂O₃ + 3 H₂ ----> 2 Fe + 3 H₂O

According to the coefficients of the reaction 1 mol of Fe₂O₃ will react with 3 moles of H₂ to give 2 moles of Fe and 3 moles of H₂O. The molar ratio between is Fe₂O₃ and Fe is 1 to 2. We can use that relationship to find the number of moles of iron that are produced.

1 mol of Fe₂O₃ : 2 moles of Fe

moles of Fe = 2.0401 mles of Fe₂O₃ * 2 moles of fFe/(1 mol of Fe₂O₃)

moles of Fe = 4.0802 moles

And finally we can convert those moles into grams using the molar mass of Fe.

molar mas of Fe = 55.85 g/mol

mass ofFe = 4.09802 moles * 55.85 g/mol

mas o f Fe = 227.88 g

227.88 g of iron are produced.

Answer: