Question

Fe₃O₄ reacts with CO according to the equation

Fe₃O₄ + CO --> Fe + CO₂ (unbalanced)
If 478.9 g Fe₃O₄ is reacted with excess CO, what mass of CO₂ will be produced assuming 100% yield?
1. 91.02 g CO₂
2. 182.05 g CO₂
3. 364.1 g CO₂
4. none of these
5. 273.1 g CO₂

Answer 1

Option 3.

364.1 g of CO₂ are produced by the reaction

Step-by-step explanation:

Let's verify the balance equation for this reaction:

Fe₃O₄ + 4 CO → 3 Fe + 4CO₂

Let's convert the mass of Fe₃O₄ to moles (mass / molar mass)

478.9 g / 231.55 g/mol = 2.07 moles

Ratio is 1:4, so let's make a rule of three to determine the moles of CO₂ produced and then its mass.

1 mol of Fe₃O₄ is needed to produce 4 moles of CO₂

Then, 2.07 moles of Fe₃O₄ will produce (2.07 .4) /1 = 8.27 moles of CO₂.

Molar mass . moles = mass

44 g/mol . 8.27 mol = 364 g of CO₂