---
title: "A student evaluates the industrial extraction of iron metal from iron(III) oxide using carbon monoxide gas at \\(298 \\text{ K}\\). The thermochemical equations for the individual processes are shown below:  \\(\\text{Fe}_2\\text{O}_3(s) \\rightarrow 2\\,\\text{Fe}(s) + \\frac{3}{2}\\,\\text{O}_2(g) \\quad \\Delta G^\\circ = +740 \\text{ kJ/mol}_{rxn}\\)  \\(\\text{CO}(g) + \\frac{1}{2}\\,\\text{O}_2(g) \\rightarrow \\text{CO}_2(g) \\quad \\Delta G^\\circ = -280 \\text{ kJ/mol}_{rxn}\\)  Based on the information above, what is the standard Gibbs free energy change, \\(\\Delta G^\\circ\\), for the net coupled reaction shown below?  \\(\\text{Fe}_2\\text{O}_3(s) + 3\\,\\text{CO}(g) \\rightarrow 2\\,\\text{Fe}(s) + 3\\,\\text{CO}_2(g)\\)"
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url: "https://nerd-notes.com/ubq/119290/"
date_modified: "2026-08-19T12:39:41+00:00"
---

# A student evaluates the industrial extraction of iron metal from iron(III) oxide using carbon monoxide gas at \(298 \text{ K}\). The thermochemical equations for the individual processes are shown below:

\(\text{Fe}_2\text{O}_3(s) \rightarrow 2\,\text{Fe}(s) + \frac{3}{2}\,\text{O}_2(g) \quad \Delta G^\circ = +740 \text{ kJ/mol}_{rxn}\)

\(\text{CO}(g) + \frac{1}{2}\,\text{O}_2(g) \rightarrow \text{CO}_2(g) \quad \Delta G^\circ = -280 \text{ kJ/mol}_{rxn}\)

Based on the information above, what is the standard Gibbs free energy change, \(\Delta G^\circ\), for the net coupled reaction shown below?

\(\text{Fe}_2\text{O}_3(s) + 3\,\text{CO}(g) \rightarrow 2\,\text{Fe}(s) + 3\,\text{CO}_2(g)\)

A student evaluates the industrial extraction of iron metal from iron(III) oxide using carbon monoxide gas at \(298 \text{ K}\). The thermochemical equations for the individual processes are shown below:

\(\text{Fe}_2\text{O}_3(s) \rightarrow 2\,\text{Fe}(s) + \frac{3}{2}\,\text{O}_2(g) \quad \Delta G^\circ = +740 \text{ kJ/mol}_{rxn}\)

\(\text{CO}(g) + \frac{1}{2}\,\text{O}_2(g) \rightarrow \text{CO}_2(g) \quad \Delta G^\circ = -280 \text{ kJ/mol}_{rxn}\)

Based on the information above, what is the standard Gibbs free energy change, \(\Delta G^\circ\), for the net coupled reaction shown below?

\(\text{Fe}_2\text{O}_3(s) + 3\,\text{CO}(g) \rightarrow 2\,\text{Fe}(s) + 3\,\text{CO}_2(g)\)

- **A.** \(-100 \text{ kJ/mol}_{rxn}\)
- **B.** \(+100 \text{ kJ/mol}_{rxn}\)
- **C.** \(+460 \text{ kJ/mol}_{rxn}\)
- **D.** \(+1020 \text{ kJ/mol}_{rxn}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/119290/*