Answer:
14.6 g
Step-by-step explanation:
Fe₂O₃ + 3 C → 2 Fe + 3 CO₃
First, convert grams of Fe₂O₃ to moles. The molar mass is 159.69 g/mol.
(64.6 g)/(159.69 g/mol) = 0.4045 mol
Now, use stoichiometry to convert moles of Fe₂O₃ to moles of C. By looking at the chemical equation, you can see that for every 1 mole of Fe₂O₃, you need 3 moles of C. Use this relationship.
(0.4045 mol Fe₂O₃) × (3 mol C/1 mol Fe₂O₃) = 1.214 mol C
Now, convert moles of C to grams. The molar mass is 12.01 g/mol.
(1.214 mol C) × (12.01 g/mol) = 14.58 g
You need to use significant figures.
14.58 g ≈ 14.6 g