The reusable booster rockets of the space shuttle use a mixture of aluminum and ammonium perchlorate as fuel. A possible reaction is 3Al(s) + 3NH4ClO4(s) → Al₂O3 (s) + AlCl3 (s) + 3NO(g) + 6H₂O(g) Calculate AH for this reaction. Substance and State AH (kJ/mol) Al(s) 0 Al2O3(s) AlCl3 (8) H₂O(g) NO(g) NH4C1O4(s) AH° = Submit Answer -1676 -704 -242 90. -295 Try Another Version item attempt remaining

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### Calculating the Enthalpy Change of a Reaction 

**Context:**
The reusable booster rockets of the space shuttle use a mixture of aluminum and ammonium perchlorate as fuel. A possible reaction is:

\[ 
3\text{Al}(s) + 3\text{NH}_4\text{ClO}_4(s) \rightarrow \text{Al}_2\text{O}_3(s) + \text{AlCl}_3(s) + 3\text{NO}(g) + 6\text{H}_2\text{O}(g) 
\]

**Objective:**
Calculate the standard enthalpy change (\( \Delta H^\circ \)) for this reaction.

**Data:**

The following table lists the standard enthalpies of formation (\( \Delta H_f^\circ \)) for the substances involved in the reaction:

| Substance and State | \( \Delta H_f^\circ \) (kJ/mol) |
|---------------------|-------------------------|
| Al(s)               | 0                       |
| Al\(_2\)O\(_3\)(s)    | -1676                   |
| AlCl\(_3\)(s)        | -704                    |
| H\(_2\)O(g)           | -242                    |
| NO(g)               | 90                      |
| NH\(_4\)ClO\(_4\)(s)  | -295                    |

**Calculation:**

To find the overall enthalpy change of the reaction (\( \Delta H^\circ \)), apply the following formula:

\[ 
\Delta H^\circ = \sum (\Delta H_f^\circ \text{ of products}) - \sum (\Delta H_f^\circ \text{ of reactants})
\]

**Input the result:**

\[ \Delta H^\circ = \_\_\_\_ \text{ kJ} \]

**Interactions:**
- Users can submit their calculated answer by clicking on the "Submit Answer" button.
- There is an option to "Try Another Version" if needed.
- Note: Only 1 item attempt remaining.

Start your calculations, and input your answer to enhance your understanding of thermodynamic principles in chemical reactions.
Transcribed Image Text:### Calculating the Enthalpy Change of a Reaction **Context:** The reusable booster rockets of the space shuttle use a mixture of aluminum and ammonium perchlorate as fuel. A possible reaction is: \[ 3\text{Al}(s) + 3\text{NH}_4\text{ClO}_4(s) \rightarrow \text{Al}_2\text{O}_3(s) + \text{AlCl}_3(s) + 3\text{NO}(g) + 6\text{H}_2\text{O}(g) \] **Objective:** Calculate the standard enthalpy change (\( \Delta H^\circ \)) for this reaction. **Data:** The following table lists the standard enthalpies of formation (\( \Delta H_f^\circ \)) for the substances involved in the reaction: | Substance and State | \( \Delta H_f^\circ \) (kJ/mol) | |---------------------|-------------------------| | Al(s) | 0 | | Al\(_2\)O\(_3\)(s) | -1676 | | AlCl\(_3\)(s) | -704 | | H\(_2\)O(g) | -242 | | NO(g) | 90 | | NH\(_4\)ClO\(_4\)(s) | -295 | **Calculation:** To find the overall enthalpy change of the reaction (\( \Delta H^\circ \)), apply the following formula: \[ \Delta H^\circ = \sum (\Delta H_f^\circ \text{ of products}) - \sum (\Delta H_f^\circ \text{ of reactants}) \] **Input the result:** \[ \Delta H^\circ = \_\_\_\_ \text{ kJ} \] **Interactions:** - Users can submit their calculated answer by clicking on the "Submit Answer" button. - There is an option to "Try Another Version" if needed. - Note: Only 1 item attempt remaining. Start your calculations, and input your answer to enhance your understanding of thermodynamic principles in chemical reactions.
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