The feed to a batch combustion chamber consists of 3.81 moles of ethanol and 12.66 moles of O₂. C₂H₂O + A O₂ → B CO₂ + C H₂O a) Determine the values of A, B, and C in the reaction above for the alcohol coefficient having a value of 1 mole. They may be decimal representations of rational numbers (i.e. 3/2 = 1.5). b) Calculate the number of moles of each species present after the reaction proceeds to * = 0.427.
The feed to a batch combustion chamber consists of 3.81 moles of ethanol and 12.66 moles of O₂. C₂H₂O + A O₂ → B CO₂ + C H₂O a) Determine the values of A, B, and C in the reaction above for the alcohol coefficient having a value of 1 mole. They may be decimal representations of rational numbers (i.e. 3/2 = 1.5). b) Calculate the number of moles of each species present after the reaction proceeds to * = 0.427.
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
Problem 1.1P
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![### Combustion Reaction Problem
1. **Problem Description:**
The feed to a batch combustion chamber consists of 3.81 moles of ethanol and 12.66 moles of O₂.
\[
\text{C}_2\text{H}_6\text{O} + A \text{O}_2 \rightarrow B \text{CO}_2 + C \text{H}_2\text{O}
\]
a) Determine the values of A, B, and C in the reaction above with the ethanol coefficient having a value of 1 mole. These may be decimal representations of rational numbers (i.e. \( \frac{3}{2} = 1.5 \)).
b) Calculate the number of moles of each species present after the reaction proceeds to \( \xi = 0.427 \).
### Explanation:
- **Balanced Chemical Reaction:**
- You need to balance the equation for complete combustion of ethanol (C₂H₆O). This involves finding the stoichiometric coefficients (A, B, C) for oxygen (O₂), carbon dioxide (CO₂), and water (H₂O), respectively, when one mole of ethanol is used.
- **Reaction Extent (\( \xi \)):**
- The extent of reaction \( \xi \) provides a measure of how far the reaction has proceeded. You will use the given extent (\( \xi = 0.427 \)) to compute the moles of each species remaining or formed in the reaction mixture.
### Steps to Solve:
1. **Balancing the Reaction:**
- Start by assuming 1 mole of ethanol and determine A, B, and C such that all atoms are balanced.
2. **Calculating Moles After Reaction:**
- Use the balanced equation to compute changes in moles of reactants and products based on the extent of reaction \( \xi = 0.427 \).
This problem reinforces stoichiometry principles and illustrates the concept of reaction extent in chemical engineering.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ae67fe3-740a-4982-854d-7043421396bc%2Ffd21d27b-a36d-43c4-a5ab-272dd2c6cce0%2F07o5a1s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Combustion Reaction Problem
1. **Problem Description:**
The feed to a batch combustion chamber consists of 3.81 moles of ethanol and 12.66 moles of O₂.
\[
\text{C}_2\text{H}_6\text{O} + A \text{O}_2 \rightarrow B \text{CO}_2 + C \text{H}_2\text{O}
\]
a) Determine the values of A, B, and C in the reaction above with the ethanol coefficient having a value of 1 mole. These may be decimal representations of rational numbers (i.e. \( \frac{3}{2} = 1.5 \)).
b) Calculate the number of moles of each species present after the reaction proceeds to \( \xi = 0.427 \).
### Explanation:
- **Balanced Chemical Reaction:**
- You need to balance the equation for complete combustion of ethanol (C₂H₆O). This involves finding the stoichiometric coefficients (A, B, C) for oxygen (O₂), carbon dioxide (CO₂), and water (H₂O), respectively, when one mole of ethanol is used.
- **Reaction Extent (\( \xi \)):**
- The extent of reaction \( \xi \) provides a measure of how far the reaction has proceeded. You will use the given extent (\( \xi = 0.427 \)) to compute the moles of each species remaining or formed in the reaction mixture.
### Steps to Solve:
1. **Balancing the Reaction:**
- Start by assuming 1 mole of ethanol and determine A, B, and C such that all atoms are balanced.
2. **Calculating Moles After Reaction:**
- Use the balanced equation to compute changes in moles of reactants and products based on the extent of reaction \( \xi = 0.427 \).
This problem reinforces stoichiometry principles and illustrates the concept of reaction extent in chemical engineering.
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