Determine AS° for 2 03(g) → 3 O₂(g). Substance S° (J/mol.K) 03 (9) 239 205 O2 (g)

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### Determining ΔS° for 2 O₃(g) ⟶ 3 O₂(g)

To find the standard entropy change (ΔS°) for the given reaction, we need to use the standard entropy values (S°) of the reactants and products. The reaction is:

\[ 2 \: \text{O}_3 \: (g) \: \rightarrow \: 3 \: \text{O}_2 \: (g) \]

The provided table lists the standard entropy values for the substances involved:

| **Substance** | **S° (J/mol·K)** |
|---------------|------------------|
| O₃ (g)        | 239              |
| O₂ (g)        | 205              |

**Step-by-Step Solution:**

1. **Write the balanced chemical equation**:
   \[ 2 \: \text{O}_3 \: (g) \: \rightarrow \: 3 \: \text{O}_2 \: (g) \]

2. **Determine the total standard entropy of the reactants**:
   Since there are 2 moles of O₃ (g),
   \[ S_{\text{total reactants}} = 2 \times 239 \: \text{J/mol·K} = 478 \: \text{J/mol·K} \]

3. **Determine the total standard entropy of the products**:
   Since there are 3 moles of O₂ (g),
   \[ S_{\text{total products}} = 3 \times 205 \: \text{J/mol·K} = 615 \: \text{J/mol·K} \]

4. **Calculate the standard entropy change (ΔS°)**:
   \[ \Delta S^\circ = \sum S^\circ_{\text{products}} - \sum S^\circ_{\text{reactants}} \]
   \[ \Delta S^\circ = 615 \: \text{J/mol·K} - 478 \: \text{J/mol·K} \]
   \[ \Delta S^\circ = 137 \: \text{J/mol·K} \]

**Conclusion:**

The standard entropy change (ΔS°) for the reaction \( \text{2 O}_3 (g) \: \rightarrow \: \
Transcribed Image Text:### Determining ΔS° for 2 O₃(g) ⟶ 3 O₂(g) To find the standard entropy change (ΔS°) for the given reaction, we need to use the standard entropy values (S°) of the reactants and products. The reaction is: \[ 2 \: \text{O}_3 \: (g) \: \rightarrow \: 3 \: \text{O}_2 \: (g) \] The provided table lists the standard entropy values for the substances involved: | **Substance** | **S° (J/mol·K)** | |---------------|------------------| | O₃ (g) | 239 | | O₂ (g) | 205 | **Step-by-Step Solution:** 1. **Write the balanced chemical equation**: \[ 2 \: \text{O}_3 \: (g) \: \rightarrow \: 3 \: \text{O}_2 \: (g) \] 2. **Determine the total standard entropy of the reactants**: Since there are 2 moles of O₃ (g), \[ S_{\text{total reactants}} = 2 \times 239 \: \text{J/mol·K} = 478 \: \text{J/mol·K} \] 3. **Determine the total standard entropy of the products**: Since there are 3 moles of O₂ (g), \[ S_{\text{total products}} = 3 \times 205 \: \text{J/mol·K} = 615 \: \text{J/mol·K} \] 4. **Calculate the standard entropy change (ΔS°)**: \[ \Delta S^\circ = \sum S^\circ_{\text{products}} - \sum S^\circ_{\text{reactants}} \] \[ \Delta S^\circ = 615 \: \text{J/mol·K} - 478 \: \text{J/mol·K} \] \[ \Delta S^\circ = 137 \: \text{J/mol·K} \] **Conclusion:** The standard entropy change (ΔS°) for the reaction \( \text{2 O}_3 (g) \: \rightarrow \: \
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