Chemistry
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ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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![### Calculating the Enthalpy Change (ΔH_rxn) for a Reaction
To determine the ΔH_rxn for the reaction:
\[ 2\text{H}_2(g) + 2\text{CO}(g) \rightarrow 2\text{H}_2\text{O}(g) + 2\text{C}(s) \]
We use the given enthalpy changes for the following reactions:
1. \[ \text{H}_2\text{O}(g) + \text{CO}(g) \rightarrow \text{H}_2(g) + \text{CO}_2(g) \quad \Delta H_1 = -41.2 \, \text{kJ} \]
2. \[ 3\text{H}_2(g) + \text{CO}(g) \rightarrow \text{H}_2\text{O}(g) + \text{CH}_4(g) \quad \Delta H_2 = -206 \, \text{kJ} \]
3. \[ \text{CO}_2(g) + \text{CH}_4(g) \rightarrow 2\text{H}_2\text{O}(g) + 2\text{C}(s) \quad \Delta H_3 = -15.5 \, \text{kJ} \]
### Explanation of Reactions and ΔH Values:
- **Reaction 1:** Represents the conversion of water vapor and carbon monoxide to hydrogen gas and carbon dioxide, releasing 41.2 kJ of energy.
- **Reaction 2:** Conveys the reaction of hydrogen gas and carbon monoxide to form water vapor and methane, releasing 206 kJ of energy.
- **Reaction 3:** Describes the reaction between carbon dioxide and methane to produce water vapor and solid carbon, releasing 15.5 kJ of energy.
### Task:
**Express your answer in decimal notation rounded to three significant figures.**
When presenting this material on an educational website, it is crucial to explain the context of each reaction, the significance of enthalpy changes, and the method of calculating the overall enthalpy change for the given reaction. This approach aids in comprehending chemical thermodynamics and energy transformations in chemical reactions.](https://content.bartleby.com/qna-images/question/9413ee1b-018f-4e4f-9457-fb88f0adac84/e9f73294-6f43-4c42-848e-5b01de5e9175/r8eitg_processed.jpeg)
Transcribed Image Text:### Calculating the Enthalpy Change (ΔH_rxn) for a Reaction
To determine the ΔH_rxn for the reaction:
\[ 2\text{H}_2(g) + 2\text{CO}(g) \rightarrow 2\text{H}_2\text{O}(g) + 2\text{C}(s) \]
We use the given enthalpy changes for the following reactions:
1. \[ \text{H}_2\text{O}(g) + \text{CO}(g) \rightarrow \text{H}_2(g) + \text{CO}_2(g) \quad \Delta H_1 = -41.2 \, \text{kJ} \]
2. \[ 3\text{H}_2(g) + \text{CO}(g) \rightarrow \text{H}_2\text{O}(g) + \text{CH}_4(g) \quad \Delta H_2 = -206 \, \text{kJ} \]
3. \[ \text{CO}_2(g) + \text{CH}_4(g) \rightarrow 2\text{H}_2\text{O}(g) + 2\text{C}(s) \quad \Delta H_3 = -15.5 \, \text{kJ} \]
### Explanation of Reactions and ΔH Values:
- **Reaction 1:** Represents the conversion of water vapor and carbon monoxide to hydrogen gas and carbon dioxide, releasing 41.2 kJ of energy.
- **Reaction 2:** Conveys the reaction of hydrogen gas and carbon monoxide to form water vapor and methane, releasing 206 kJ of energy.
- **Reaction 3:** Describes the reaction between carbon dioxide and methane to produce water vapor and solid carbon, releasing 15.5 kJ of energy.
### Task:
**Express your answer in decimal notation rounded to three significant figures.**
When presenting this material on an educational website, it is crucial to explain the context of each reaction, the significance of enthalpy changes, and the method of calculating the overall enthalpy change for the given reaction. This approach aids in comprehending chemical thermodynamics and energy transformations in chemical reactions.
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