4Al(s) + 302(g)- - 2AI2O3(s) AH°rxn = -3351.4 kJ How much energy is transferred when 15.5 g of Al2O3 is produced? -51,900 kJ -3350 kJ O -1430 kJ -509 kJ -255 kJ

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
Section: Chapter Questions
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### Thermochemical Reaction Analysis

**Reaction:**
\[ 4\text{Al}(s) + 3\text{O}_2(g) \rightarrow 2\text{Al}_2\text{O}_3(s) \]

**Enthalpy Change:**
\[ \Delta H^\circ_{\text{rxn}} = -3351.4 \, \text{kJ} \]

**Question:**
How much energy is transferred when 15.5 g of \(\text{Al}_2\text{O}_3\) is produced?

**Options:**

- \(-51,900 \, \text{kJ}\)
- \(-3350 \, \text{kJ}\)
- \(-1430 \, \text{kJ}\) (Correct)
- \(-509 \, \text{kJ}\)
- \(-255 \, \text{kJ}\)

### Explanation

The text presents a thermochemical equation indicating that the formation of 2 moles of \(\text{Al}_2\text{O}_3\) from aluminum and oxygen releases \(3351.4 \, \text{kJ}\) of energy. The problem asks to calculate the energy transfer when only 15.5 g of \(\text{Al}_2\text{O}_3\) is produced, as opposed to 2 moles. The correct answer based on this calculation is \(-1430 \, \text{kJ}\).
Transcribed Image Text:### Thermochemical Reaction Analysis **Reaction:** \[ 4\text{Al}(s) + 3\text{O}_2(g) \rightarrow 2\text{Al}_2\text{O}_3(s) \] **Enthalpy Change:** \[ \Delta H^\circ_{\text{rxn}} = -3351.4 \, \text{kJ} \] **Question:** How much energy is transferred when 15.5 g of \(\text{Al}_2\text{O}_3\) is produced? **Options:** - \(-51,900 \, \text{kJ}\) - \(-3350 \, \text{kJ}\) - \(-1430 \, \text{kJ}\) (Correct) - \(-509 \, \text{kJ}\) - \(-255 \, \text{kJ}\) ### Explanation The text presents a thermochemical equation indicating that the formation of 2 moles of \(\text{Al}_2\text{O}_3\) from aluminum and oxygen releases \(3351.4 \, \text{kJ}\) of energy. The problem asks to calculate the energy transfer when only 15.5 g of \(\text{Al}_2\text{O}_3\) is produced, as opposed to 2 moles. The correct answer based on this calculation is \(-1430 \, \text{kJ}\).
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