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Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
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### Combustion Chemistry Problem

**Problem Statement:**
A gas containing only CH₄ and N₂ is burned in air yielding a flue gas that has an Orsat analysis of CO₂ 8.7%, CO 1.6%, O₂ 3.8%, and N₂ 85.9%. Calculate the percentage of excess air used in the combustion and the composition of the CH₄/N₂ mixture.

**Reaction Equations:**
1. \( \text{CH}_{4} + 2\text{O}_2 \rightarrow \text{CO}_2 + 2\text{H}_2\text{O} \)
2. \( \text{CH}_{4} + \frac{3}{2}\text{O}_2 \rightarrow \text{CO} + 2\text{H}_2\text{O} \)

**Basis:**
- Assume 100 moles of dry flue gases.
- Components of the dry flue gases:
  - \( 8.7 \text{ moles CO}_2 \)
  - \( 1.6 \text{ moles CO} \)
  - Other components to be calculated accordingly.

**Graph/Diagram Explanation:**
The diagram included is a simple, incomplete schematic that appears to represent the flow of moles of gases but lacks specific labels and details. If completed, it would show the basis of the calculation (100 moles of dry gas) and track the distribution of gas components.

For instance:
- One section of the graph might represent the 8.7 moles of CO₂.
- Another section could show the 1.6 moles of CO.
  
This flows alongside the written basis to quantify gases involved in the combustion process.

**Note:**
Further steps would involve stoichiometric relationships and the use of mole fractions to solve for the unknowns, such as the percentage of excess air and the composition of the methane/nitrogen mixture. The diagram would need additional parts and labels to reflect these calculations accurately.
Transcribed Image Text:### Combustion Chemistry Problem **Problem Statement:** A gas containing only CH₄ and N₂ is burned in air yielding a flue gas that has an Orsat analysis of CO₂ 8.7%, CO 1.6%, O₂ 3.8%, and N₂ 85.9%. Calculate the percentage of excess air used in the combustion and the composition of the CH₄/N₂ mixture. **Reaction Equations:** 1. \( \text{CH}_{4} + 2\text{O}_2 \rightarrow \text{CO}_2 + 2\text{H}_2\text{O} \) 2. \( \text{CH}_{4} + \frac{3}{2}\text{O}_2 \rightarrow \text{CO} + 2\text{H}_2\text{O} \) **Basis:** - Assume 100 moles of dry flue gases. - Components of the dry flue gases: - \( 8.7 \text{ moles CO}_2 \) - \( 1.6 \text{ moles CO} \) - Other components to be calculated accordingly. **Graph/Diagram Explanation:** The diagram included is a simple, incomplete schematic that appears to represent the flow of moles of gases but lacks specific labels and details. If completed, it would show the basis of the calculation (100 moles of dry gas) and track the distribution of gas components. For instance: - One section of the graph might represent the 8.7 moles of CO₂. - Another section could show the 1.6 moles of CO. This flows alongside the written basis to quantify gases involved in the combustion process. **Note:** Further steps would involve stoichiometric relationships and the use of mole fractions to solve for the unknowns, such as the percentage of excess air and the composition of the methane/nitrogen mixture. The diagram would need additional parts and labels to reflect these calculations accurately.
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