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
Thermochemistry
Thermochemistry can be considered as a branch of thermodynamics that deals with the connections between warmth, work, and various types of energy, formed because of different synthetic and actual cycles. Thermochemistry describes the energy changes that occur as a result of reactions or chemical changes in a substance.
Exergonic Reaction
The term exergonic is derived from the Greek word in which ‘ergon’ means work and exergonic means ‘work outside’. Exergonic reactions releases work energy. Exergonic reactions are different from exothermic reactions, the one that releases only heat energy during the course of the reaction. So, exothermic reaction is one type of exergonic reaction. Exergonic reaction releases work energy in different forms like heat, light or sound. For example, a glow stick releases light making that an exergonic reaction and not an exothermic reaction since no heat is released. Even endothermic reactions at very high temperature are exergonic.
![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ea102a8-ea29-42c9-bc12-ff472d16c24f%2F30c9d978-6d21-4004-89a8-78990d2ae7f2%2F6di7u4j_processed.png&w=3840&q=75)
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