The reusable booster rockets of the space shuttle use a mixture of aluminum and ammonium perchlorate as fuel. A possible reaction is 3Al(s) + 3NH₂C1O4 (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 (s) H₂O(g) NO(g) NH4ClO4(s) AH° = kj -1676 -704 -242 90. -295

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### Calculation of Reaction Enthalpy Change

**Introduction:**
The reusable booster rockets of the space shuttle employ a combination of aluminum and ammonium perchlorate as fuel. One of the potential chemical reactions taking place is described by the equation: 

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

Our objective is to calculate the standard enthalpy change (**∆H°**) for this reaction.

**Table of Standard Enthalpies of Formation:**

\[
\begin{array}{|c|c|c|}
\hline
\text{Substance and State} & \Delta H_f^\circ \, (\text{kJ/mol}) \\
\hline
\text{Al}(s) & 0 \\
\text{Al}_2\text{O}_3(s) & -1676 \\
\text{AlCl}_3(s) & -704 \\
\text{H}_2\text{O}(g) & -242 \\
\text{NO}(g) & 90 \\
\text{NH}_4\text{ClO}_4(s) & -295 \\
\hline
\end{array}
\]

**Calculation:**

The standard enthalpy change of the reaction (**∆H°**) can be calculated using the enthalpies of formation for the reactants and products:

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

**Please fill in:**

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

**Diagram Explanation:**

There is a table provided showing the standard enthalpies of formation (\( \Delta H_f^\circ \)) for the substances involved in the reaction. Each row lists a substance along with its standard enthalpy of formation in kilojoules per mole (kJ/mol). By substituting these values into the formula above
Transcribed Image Text:### Calculation of Reaction Enthalpy Change **Introduction:** The reusable booster rockets of the space shuttle employ a combination of aluminum and ammonium perchlorate as fuel. One of the potential chemical reactions taking place is described by the equation: \[ 3 \text{Al}(s) + 3 \text{NH}_4 \text{ClO}_4 (s) \rightarrow \text{Al}_2 \text{O}_3 (s) + \text{AlCl}_3 (s) + 3 \text{NO}(g) + 6 \text{H}_2 \text{O}(g) \] Our objective is to calculate the standard enthalpy change (**∆H°**) for this reaction. **Table of Standard Enthalpies of Formation:** \[ \begin{array}{|c|c|c|} \hline \text{Substance and State} & \Delta H_f^\circ \, (\text{kJ/mol}) \\ \hline \text{Al}(s) & 0 \\ \text{Al}_2\text{O}_3(s) & -1676 \\ \text{AlCl}_3(s) & -704 \\ \text{H}_2\text{O}(g) & -242 \\ \text{NO}(g) & 90 \\ \text{NH}_4\text{ClO}_4(s) & -295 \\ \hline \end{array} \] **Calculation:** The standard enthalpy change of the reaction (**∆H°**) can be calculated using the enthalpies of formation for the reactants and products: \[ \Delta H^{\circ}_{\text{reaction}} = \sum \Delta H_f^\circ(\text{products}) - \sum \Delta H_f^\circ(\text{reactants}) \] **Please fill in:** \[ \Delta H^{\circ} = \boxed{\phantom{ }} \text{ kJ} \] **Diagram Explanation:** There is a table provided showing the standard enthalpies of formation (\( \Delta H_f^\circ \)) for the substances involved in the reaction. Each row lists a substance along with its standard enthalpy of formation in kilojoules per mole (kJ/mol). By substituting these values into the formula above
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