Consider the reaction for the formation of aluminum oxide from aluminum and oxygen. 4 Al(s) + 30,(g) – 2 Al,O,(s) ΔΗ Express the enthalpy of the following reaction, AH2, in terms of AH1. 2 Al,0, (s) → 4 Al(s) + 30,(g) ΔΗ AH2 = Express the enthalpy of the following reaction, AH3, in terms of AH1. 12 Al(s) + 90,(g) → 6 Al,O,(s) AH3 AH3 =

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### Chemistry Problem: Enthalpy and Reaction for Aluminum Oxide Formation

Consider the reaction for the formation of aluminum oxide from aluminum and oxygen:

\[ 
4 \text{Al}(s) + 3 \text{O}_2(g) \rightarrow 2 \text{Al}_2\text{O}_3(s) \quad \Delta H_1 
\]

**Task:**

1. **Express the enthalpy of the following reaction, \(\Delta H_2\), in terms of \(\Delta H_1\):**

   \[
   2 \text{Al}_2\text{O}_3(s) \rightarrow 4 \text{Al}(s) + 3 \text{O}_2(g) \quad \Delta H_2 
   \]

   \(\Delta H_2 = \) [Enter your expression]

2. **Express the enthalpy of the following reaction, \(\Delta H_3\), in terms of \(\Delta H_1\):**

   \[
   12 \text{Al}(s) + 9 \text{O}_2(g) \rightarrow 6 \text{Al}_2\text{O}_3(s) \quad \Delta H_3 
   \]

   \(\Delta H_3 = \) [Enter your expression]

**Note:** The enthalpy change \(\Delta H\) for a reaction is typically expressed in \(\text{kJ/mol}\). You need to determine how these given reactions relate to the original reaction with \(\Delta H_1\), in terms of stoichiometry and direction.
Transcribed Image Text:### Chemistry Problem: Enthalpy and Reaction for Aluminum Oxide Formation Consider the reaction for the formation of aluminum oxide from aluminum and oxygen: \[ 4 \text{Al}(s) + 3 \text{O}_2(g) \rightarrow 2 \text{Al}_2\text{O}_3(s) \quad \Delta H_1 \] **Task:** 1. **Express the enthalpy of the following reaction, \(\Delta H_2\), in terms of \(\Delta H_1\):** \[ 2 \text{Al}_2\text{O}_3(s) \rightarrow 4 \text{Al}(s) + 3 \text{O}_2(g) \quad \Delta H_2 \] \(\Delta H_2 = \) [Enter your expression] 2. **Express the enthalpy of the following reaction, \(\Delta H_3\), in terms of \(\Delta H_1\):** \[ 12 \text{Al}(s) + 9 \text{O}_2(g) \rightarrow 6 \text{Al}_2\text{O}_3(s) \quad \Delta H_3 \] \(\Delta H_3 = \) [Enter your expression] **Note:** The enthalpy change \(\Delta H\) for a reaction is typically expressed in \(\text{kJ/mol}\). You need to determine how these given reactions relate to the original reaction with \(\Delta H_1\), in terms of stoichiometry and direction.
**Reaction Enthalpy Expressions**

For the reaction:

\[ 
12 \text{Al}(s) + 9 \text{O}_2(g) \rightarrow 6 \text{Al}_2\text{O}_3(s)
\]

Express the enthalpy, \(\Delta H_3\), in terms of \(\Delta H_1\):

\[ 
\Delta H_3 = \underline{\hspace{4cm}}
\]

---

For the reaction:

\[
2 \text{Al}(s) + \frac{3}{2} \text{O}_2(g) \rightarrow \text{Al}_2\text{O}_3(s)
\]

Express the enthalpy, \(\Delta H_4\), in terms of \(\Delta H_1\):

\[ 
\Delta H_4 = \underline{\hspace{4cm}}
\]

---

In these equations, you are asked to derive the reaction enthalpies (\(\Delta H_3\) and \(\Delta H_4\)) from another enthalpy (\(\Delta H_1\)), demonstrating an understanding of stoichiometry and thermochemical equations. Adjust the coefficients to reflect the relationship between the reactions correctly.
Transcribed Image Text:**Reaction Enthalpy Expressions** For the reaction: \[ 12 \text{Al}(s) + 9 \text{O}_2(g) \rightarrow 6 \text{Al}_2\text{O}_3(s) \] Express the enthalpy, \(\Delta H_3\), in terms of \(\Delta H_1\): \[ \Delta H_3 = \underline{\hspace{4cm}} \] --- For the reaction: \[ 2 \text{Al}(s) + \frac{3}{2} \text{O}_2(g) \rightarrow \text{Al}_2\text{O}_3(s) \] Express the enthalpy, \(\Delta H_4\), in terms of \(\Delta H_1\): \[ \Delta H_4 = \underline{\hspace{4cm}} \] --- In these equations, you are asked to derive the reaction enthalpies (\(\Delta H_3\) and \(\Delta H_4\)) from another enthalpy (\(\Delta H_1\)), demonstrating an understanding of stoichiometry and thermochemical equations. Adjust the coefficients to reflect the relationship between the reactions correctly.
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