Answer:
157.8 g
Step-by-step explanation:
Step 1: Write the balanced equation
Fe₂O₃ + 3 CO ⟶ 3 CO₂ + 2 Fe
Step 2: Calculate the moles corresponding to 209.7 g of Fe
The molar mass of Fe is 55.85 g/mol
209.7 g × 1 mol/55.85 g = 3.755 mol
Step 3: Calculate the moles of CO needed to produce 3.755 moles of Fe
The molar ratio of CO to Fe is 3:2. The moles of CO needed are 3/2 × 3.755 = 5.633 mol
Step 4: Calculate the mass corresponding to 5.633 moles of CO
The molar mass of CO is 28.01 g/mol.
5.633 mol × 28.01 g/mol = 157.8 g