Given the three-step "blast furnace" process that converts iron ore,Fe₂O₃,into molten "pig iron": 3 Fe₂O₃(l)+ CO(g)→ 2 Fe₃O₄(l)+ CO₂(g)
Fe₃O₄(l)+ CO(g)→ 3 FeO(l)+ CO₂(g)
FeO(l)+ CO(g)→ Fe(l)+ CO₂(g)
What mass of iron is produced from 1.00 metric ton (1000 kg)of Fe₂O₃?

Question

Quizplus · Accepted Answer

To find the mass of iron produced from 1.00 metric ton (1000 kg) of $Fe_2O_3$, we first need to calculate the molar mass of $Fe_2O_3$ and iron (Fe). The molar mass of $Fe_2O_3$ is $2 \times 55.85 + 3 \times 16 = 159.7 \, \text{g/mol}$, and the molar mass of Fe is $55.85 \, \text{g/mol}$. From the balanced equations, 1 mole of $Fe_2O_3$ produces 2 moles of Fe. Therefore, $1000 \, \text{kg} = 1,000,000 \, \text{g}$ of $Fe_2O_3$ corresponds to $\frac{1,000,000 \, \text{g}}{159.7 \, \text{g/mol}}$ moles of $Fe_2O_3$, which produces $2 \times \frac{1,000,000 \, \text{g}}{159.7 \, \text{g/mol}}$ moles of Fe. The mass of Fe produced is then $2 \times \frac{1,000,000 \, \text{g}}{159.7 \, \text{g/mol}} \times 55.85 \, \text{g/mol}$. When calculated, this gives approximately 699 kg of Fe, making option B the correct answer.

Given the Three-Step "Blast Furnace" Process That Converts Iron Ore,Fe₂O₃,into