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title: "The extraction of iron from iron(III) oxide in an industrial blast furnace occurs through a series of stepwise reduction reactions using carbon monoxide, \\(\\text{CO(g)}\\), as summarized in the table below.  | Reaction | Chemical equation | \\(\\Delta H^\\circ\\ (\\text{kJ/mol}_{\\text{rxn}})\\) | | :—: | :— | :—: | | 1 | \\(3\\,\\text{Fe}_2\\text{O}_3\\text{(s)} + \\text{CO(g)} \\rightarrow 2\\,\\text{Fe}_3\\text{O}_4\\text{(s)} + \\text{CO}_2\\text{(g)}\\) | \\(-45\\) | | 2 | \\(\\text{Fe}_3\\text{O}_4\\text{(s)} + \\text{CO(g)} \\rightarrow 3\\,\\text{FeO(s)} + \\text{CO}_2\\text{(g)}\\) | \\(+21\\) | | 3 | \\(\\text{FeO(s)} + \\text{CO(g)} \\rightarrow \\text{Fe(s)} + \\text{CO}_2\\text{(g)}\\) | \\(-18\\) |  Based on the data in the table, what is the standard enthalpy change, \\(\\Delta H^\\circ\\), for the overall reduction of iron(III) oxide represented by the equation below? \\[ \\text{Fe}_2\\text{O}_3\\text{(s)} + 3\\,\\text{CO(g)} \\rightarrow 2\\,\\text{Fe(s)} + 3\\,\\text{CO}_2\\text{(g)} \\]"
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date_modified: "2026-09-28T12:30:29+00:00"
---

# The extraction of iron from iron(III) oxide in an industrial blast furnace occurs through a series of stepwise reduction reactions using carbon monoxide, \(\text{CO(g)}\), as summarized in the table below.

| Reaction | Chemical equation | \(\Delta H^\circ\ (\text{kJ/mol}_{\text{rxn}})\) |
| :—: | :— | :—: |
| 1 | \(3\,\text{Fe}_2\text{O}_3\text{(s)} + \text{CO(g)} \rightarrow 2\,\text{Fe}_3\text{O}_4\text{(s)} + \text{CO}_2\text{(g)}\) | \(-45\) |
| 2 | \(\text{Fe}_3\text{O}_4\text{(s)} + \text{CO(g)} \rightarrow 3\,\text{FeO(s)} + \text{CO}_2\text{(g)}\) | \(+21\) |
| 3 | \(\text{FeO(s)} + \text{CO(g)} \rightarrow \text{Fe(s)} + \text{CO}_2\text{(g)}\) | \(-18\) |

Based on the data in the table, what is the standard enthalpy change, \(\Delta H^\circ\), for the overall reduction of iron(III) oxide represented by the equation below?
\[ \text{Fe}_2\text{O}_3\text{(s)} + 3\,\text{CO(g)} \rightarrow 2\,\text{Fe(s)} + 3\,\text{CO}_2\text{(g)} \]

The extraction of iron from iron(III) oxide in an industrial blast furnace occurs through a series of stepwise reduction reactions using carbon monoxide, \(\text{CO(g)}\), as summarized in the table below.

| Reaction | Chemical equation | \(\Delta H^\circ\ (\text{kJ/mol}_{\text{rxn}})\) |
| :---: | :--- | :---: |
| 1 | \(3\,\text{Fe}_2\text{O}_3\text{(s)} + \text{CO(g)} \rightarrow 2\,\text{Fe}_3\text{O}_4\text{(s)} + \text{CO}_2\text{(g)}\) | \(-45\) |
| 2 | \(\text{Fe}_3\text{O}_4\text{(s)} + \text{CO(g)} \rightarrow 3\,\text{FeO(s)} + \text{CO}_2\text{(g)}\) | \(+21\) |
| 3 | \(\text{FeO(s)} + \text{CO(g)} \rightarrow \text{Fe(s)} + \text{CO}_2\text{(g)}\) | \(-18\) |

Based on the data in the table, what is the standard enthalpy change, \(\Delta H^\circ\), for the overall reduction of iron(III) oxide represented by the equation below?
\[ \text{Fe}_2\text{O}_3\text{(s)} + 3\,\text{CO(g)} \rightarrow 2\,\text{Fe(s)} + 3\,\text{CO}_2\text{(g)} \]

- **A.** \(-42\text{ kJ/mol}_{\text{rxn}}\)
- **B.** \(-37\text{ kJ/mol}_{\text{rxn}}\)
- **C.** \(-19\text{ kJ/mol}_{\text{rxn}}\)
- **D.** \(+37\text{ kJ/mol}_{\text{rxn}}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/123831/*