18. Use the chemical equations shown below to determine the enthalpy for the reaction: Fe,O«(s) + CO(g) – 3FEO(s) + CO:(g) AH° = ? (1) 2 Fe(s) + 3CO2(g) → Fe;O:(s) + 3 CO(g) AH,° (2) 3 Fe,O:(s) + CO(g) -2 Fe,O4(s) + CO:(g) (3) FeO(s) + CO(g) Fe(s) + CO:(g) AH;° AH,° O A) AH1° + AH2° + AH3° B) 3/2 ΔΗ'- 12 ΔΗ2ρό -3 ΔΗ5 C) - 3/2 AH1° - 1/2 AH2° - 3 AH3° D) - AH1° - 2 AH2° - 1/3 AH3° O E) 3/2 AH1° - 2 AH2° -3 AH3°

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Chapter20: Environmental Chemistry-earth's Environment, Energy, And Sustainability
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### Determining Enthalpy Change of a Reaction

#### Problem Statement
Use the chemical equations shown below to determine the enthalpy (\(\Delta H^\circ\)) for the reaction:

\[\text{Fe}_3\text{O}_4(s) + \text{CO}(g) \rightarrow 3\text{Fe}(s) + \text{CO}_2(g)\]

\[\Delta H^\circ =?\]

#### Given Chemical Equations
1. \(2 \text{Fe}(s) + 3\text{CO}_2(g) \rightarrow \text{Fe}_3\text{O}_4(s) + 3\text{CO}(g)\) \(\Delta H_1^\circ\)
2. \(3 \text{Fe}_3\text{O}_4(s) + \text{CO}(g) \rightarrow 2 \text{Fe}_2\text{O}_3(s) + \text{CO}_2(g)\) \(\Delta H_2^\circ\)
3. \(\text{FeO}(s) + \text{CO}(g) \rightarrow \text{Fe}(s) + \text{CO}_2(g)\) \(\Delta H_3^\circ\)

#### Multiple Choice Options

A) \(\Delta H_1^\circ + \Delta H_2^\circ + \Delta H_3^\circ\)

B) \(\frac{3}{2} \Delta H_1^\circ - \frac{1}{2} \Delta H_2^\circ - 3 \Delta H_3^\circ\)

C) \(- \frac{3}{2} \Delta H_1^\circ - \frac{1}{2} \Delta H_2^\circ - 3 \Delta H_3^\circ\)

D) \(- \Delta H_1^\circ - 2 \Delta H_2^\circ - \frac{1}{3} \Delta H_3^\circ\)

E) \(\frac{3}{2} \Delta H_1^\circ - 2 \Delta H_2^\circ - 3 \Delta H_3^\circ\)

### Explanation of the Graphs/Diagrams
This problem involves combining given enthalpies for a set of reactions to determine the enthalpy of the target
Transcribed Image Text:### Determining Enthalpy Change of a Reaction #### Problem Statement Use the chemical equations shown below to determine the enthalpy (\(\Delta H^\circ\)) for the reaction: \[\text{Fe}_3\text{O}_4(s) + \text{CO}(g) \rightarrow 3\text{Fe}(s) + \text{CO}_2(g)\] \[\Delta H^\circ =?\] #### Given Chemical Equations 1. \(2 \text{Fe}(s) + 3\text{CO}_2(g) \rightarrow \text{Fe}_3\text{O}_4(s) + 3\text{CO}(g)\) \(\Delta H_1^\circ\) 2. \(3 \text{Fe}_3\text{O}_4(s) + \text{CO}(g) \rightarrow 2 \text{Fe}_2\text{O}_3(s) + \text{CO}_2(g)\) \(\Delta H_2^\circ\) 3. \(\text{FeO}(s) + \text{CO}(g) \rightarrow \text{Fe}(s) + \text{CO}_2(g)\) \(\Delta H_3^\circ\) #### Multiple Choice Options A) \(\Delta H_1^\circ + \Delta H_2^\circ + \Delta H_3^\circ\) B) \(\frac{3}{2} \Delta H_1^\circ - \frac{1}{2} \Delta H_2^\circ - 3 \Delta H_3^\circ\) C) \(- \frac{3}{2} \Delta H_1^\circ - \frac{1}{2} \Delta H_2^\circ - 3 \Delta H_3^\circ\) D) \(- \Delta H_1^\circ - 2 \Delta H_2^\circ - \frac{1}{3} \Delta H_3^\circ\) E) \(\frac{3}{2} \Delta H_1^\circ - 2 \Delta H_2^\circ - 3 \Delta H_3^\circ\) ### Explanation of the Graphs/Diagrams This problem involves combining given enthalpies for a set of reactions to determine the enthalpy of the target
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