the reaction: 3Fe2O3 (s) + H₂(g) → 2Fe3O4 (s) + H₂O(g) Using standard absolute entropies at 298 K, calculate the entropy change for the system when 1.58 moles of Fe2O3 (8) react at standard conditions. AS⁰ Substance S (J/K mol) Fe₂O3 (8) 87.4 H₂(g) 130.7 Fe3O4(s) 146.4 H₂O(g) 188.8 system J/K 4

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**Consider the reaction:**

\[ 3\text{Fe}_2\text{O}_3 (s) + \text{H}_2 (g) \rightarrow 2\text{Fe}_3\text{O}_4 (s) + \text{H}_2\text{O} (g) \]

Using standard absolute entropies at 298 K, calculate the entropy change for the system when 1.58 moles of Fe₂O₃(s) react at standard conditions.

| Substance  | \( S^\circ \) (J/K·mol) |
|------------|-------------------------|
| Fe₂O₃(s)   | 87.4                    |
| H₂(g)      | 130.7                   |
| Fe₃O₄(s)   | 146.4                   |
| H₂O(g)     | 188.8                   |

\[ \Delta S^\circ_{\text{system}} = \boxed{} \text{J/K} \]

**Explanation:**

The provided table lists the standard absolute entropies (\( S^\circ \)) for each substance involved in the reaction. The task is to calculate the entropy change of the system (\( \Delta S^\circ_{\text{system}} \)) using the given entropies at 298 K when 1.58 moles of Fe₂O₃(s) react.
Transcribed Image Text:**Consider the reaction:** \[ 3\text{Fe}_2\text{O}_3 (s) + \text{H}_2 (g) \rightarrow 2\text{Fe}_3\text{O}_4 (s) + \text{H}_2\text{O} (g) \] Using standard absolute entropies at 298 K, calculate the entropy change for the system when 1.58 moles of Fe₂O₃(s) react at standard conditions. | Substance | \( S^\circ \) (J/K·mol) | |------------|-------------------------| | Fe₂O₃(s) | 87.4 | | H₂(g) | 130.7 | | Fe₃O₄(s) | 146.4 | | H₂O(g) | 188.8 | \[ \Delta S^\circ_{\text{system}} = \boxed{} \text{J/K} \] **Explanation:** The provided table lists the standard absolute entropies (\( S^\circ \)) for each substance involved in the reaction. The task is to calculate the entropy change of the system (\( \Delta S^\circ_{\text{system}} \)) using the given entropies at 298 K when 1.58 moles of Fe₂O₃(s) react.
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