What mass of iron can be produced from the reaction of 175 kg Fe₂O₃ with 385 kg CO? Fe₂O₃(s)+ 3 CO(g)→ 2 Fe(s)+ 3 CO₂(g)

Question

Quizplus · Accepted Answer

From the balanced chemical equation, we can see that the ratio of Fe₂O₃ to Fe is 1:2. This means that for every 1 mole of Fe₂O₃, we get 2 moles of Fe. To calculate the mass of Fe produced, we need to first calculate the number of moles of Fe₂O₃ and CO that react: 175 kg Fe₂O₃ × (1 mol Fe₂O₃/ 120.17 g Fe₂O₃) = 1455 mol Fe₂O₃ 385 kg CO × (1 mol CO/ 28.01 g CO) = 13709 mol CO From the balanced chemical equation, 3 moles of CO react with 1 mole of Fe₂O₃ to produce 2 moles of Fe. Therefore, the number of moles of Fe produced is: 13709 mol CO × (2 mol Fe/ 3 mol CO) = 9139 mol Fe Finally, we can calculate the mass of Fe produced: 9139 mol Fe × (55.85 g Fe/ 1 mol Fe) = 511577 g or 511.6 kg Fe Rounded to one decimal place, this is equal to 512 kg Fe.

What Mass of Iron Can Be Produced from the Reaction