12. Use the standard reaction enthalpies given below to determine AH°rxn for the following reaction: 4 Fe;04(s) + 02(g) → 6 Fe,03(g) AHxn =? Given: 6 Fe(s) + 4 02(g) → 2 Fe;04(s) 6 Fe203(s) → 12 Fe(s) +9 02(g) = -1787 kJ = +3946 k] A. +2159 kJ В. -2159 kJ C. +372 kJ D. -372 kJ E. Cannot be determined

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**Problem 12: Calculation of Standard Reaction Enthalpy**

Determine \( \Delta H^\circ_{rxn} \) for the following reaction using the given standard reaction enthalpies:

\[ 
4 \, \text{Fe}_3\text{O}_4(s) + \text{O}_2(g) \rightarrow 6 \, \text{Fe}_2\text{O}_3(g) 
\]

**Given Reactions and Their Enthalpies:**

1. \( 6 \, \text{Fe}(s) + 4 \, \text{O}_2(g) \rightarrow 2 \, \text{Fe}_3\text{O}_4(s) \)  
   \( \Delta H^\circ_{rxn} = -1787 \, \text{kJ} \)

2. \( 6 \, \text{Fe}_2\text{O}_3(s) \rightarrow 12 \, \text{Fe}(s) + 9 \, \text{O}_2(g) \)  
   \( \Delta H^\circ_{rxn} = +3946 \, \text{kJ} \)

**Options:**

A. +2159 kJ  
B. −2159 kJ  
C. +372 kJ  
D. −372 kJ  
E. Cannot be determined

**Analysis:**

- To find \( \Delta H^\circ_{rxn} \), you need to manipulate the given reactions to match the target reaction.
- Reverse and adjust the coefficients of the reactions as needed.
- Apply Hess's Law accordingly to calculate the overall enthalpy change.

Consider balancing and alignment of the reactions to properly deduce the enthalpy of the desired reaction.
Transcribed Image Text:**Problem 12: Calculation of Standard Reaction Enthalpy** Determine \( \Delta H^\circ_{rxn} \) for the following reaction using the given standard reaction enthalpies: \[ 4 \, \text{Fe}_3\text{O}_4(s) + \text{O}_2(g) \rightarrow 6 \, \text{Fe}_2\text{O}_3(g) \] **Given Reactions and Their Enthalpies:** 1. \( 6 \, \text{Fe}(s) + 4 \, \text{O}_2(g) \rightarrow 2 \, \text{Fe}_3\text{O}_4(s) \) \( \Delta H^\circ_{rxn} = -1787 \, \text{kJ} \) 2. \( 6 \, \text{Fe}_2\text{O}_3(s) \rightarrow 12 \, \text{Fe}(s) + 9 \, \text{O}_2(g) \) \( \Delta H^\circ_{rxn} = +3946 \, \text{kJ} \) **Options:** A. +2159 kJ B. −2159 kJ C. +372 kJ D. −372 kJ E. Cannot be determined **Analysis:** - To find \( \Delta H^\circ_{rxn} \), you need to manipulate the given reactions to match the target reaction. - Reverse and adjust the coefficients of the reactions as needed. - Apply Hess's Law accordingly to calculate the overall enthalpy change. Consider balancing and alignment of the reactions to properly deduce the enthalpy of the desired reaction.
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