Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![**Combustion Reaction of Ethylene and Rate of Product Formation**
The combustion of ethylene (C₂H₄) proceeds by the following chemical reaction:
\[ \text{C}_2\text{H}_4\text{(g)} + 3 \text{O}_2\text{(g)} \rightarrow 2 \text{CO}_2\text{(g)} + 2 \text{H}_2\text{O(g)} \]
---
### Problem Statement:
When the rate of disappearance of \(\text{O}_2\) is \(0.28 \, \text{M s}^{-1}\), calculate the rate of appearance of \(\text{CO}_2\) in \(\text{M s}^{-1}\).
### Answer Choices:
- \( \mathbf{0.42} \)
- \( \mathbf{0.19} \)
- \( \mathbf{0.56} \)
- \( \mathbf{0.093} \)
- \( \mathbf{0.84} \)
### Explanation:
To solve this problem, we need to use the stoichiometric relationship between \(\text{O}_2\) and \(\text{CO}_2\) based on the given balanced chemical equation.
From the equation:
\[ \text{C}_2\text{H}_4\text{(g)} + 3 \text{O}_2\text{(g)} \rightarrow 2 \text{CO}_2\text{(g)} + 2 \text{H}_2\text{O(g)} \]
We see that 3 moles of \(\text{O}_2\) yield 2 moles of \(\text{CO}_2\).
To find the rate of appearance of \(\text{CO}_2\) from the rate of disappearance of \(\text{O}_2\), we use the stoichiometric ratio:
\[ \text{Rate of disappearance of O}_2 : 3 = \text{Rate of appearance of CO}_2 : 2 \]
Given that the rate of disappearance of \(\text{O}_2\) is \(0.28 \, \text{M s}^{-1}\), we can set up the following proportion:
\[ \frac{0.28}{3} = \frac{\text{Rate of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F560885b1-95a6-46a1-8479-9132da42c8bd%2F69c16105-7c95-450d-895f-f4cbb33a23b6%2Fthx0d4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Combustion Reaction of Ethylene and Rate of Product Formation**
The combustion of ethylene (C₂H₄) proceeds by the following chemical reaction:
\[ \text{C}_2\text{H}_4\text{(g)} + 3 \text{O}_2\text{(g)} \rightarrow 2 \text{CO}_2\text{(g)} + 2 \text{H}_2\text{O(g)} \]
---
### Problem Statement:
When the rate of disappearance of \(\text{O}_2\) is \(0.28 \, \text{M s}^{-1}\), calculate the rate of appearance of \(\text{CO}_2\) in \(\text{M s}^{-1}\).
### Answer Choices:
- \( \mathbf{0.42} \)
- \( \mathbf{0.19} \)
- \( \mathbf{0.56} \)
- \( \mathbf{0.093} \)
- \( \mathbf{0.84} \)
### Explanation:
To solve this problem, we need to use the stoichiometric relationship between \(\text{O}_2\) and \(\text{CO}_2\) based on the given balanced chemical equation.
From the equation:
\[ \text{C}_2\text{H}_4\text{(g)} + 3 \text{O}_2\text{(g)} \rightarrow 2 \text{CO}_2\text{(g)} + 2 \text{H}_2\text{O(g)} \]
We see that 3 moles of \(\text{O}_2\) yield 2 moles of \(\text{CO}_2\).
To find the rate of appearance of \(\text{CO}_2\) from the rate of disappearance of \(\text{O}_2\), we use the stoichiometric ratio:
\[ \text{Rate of disappearance of O}_2 : 3 = \text{Rate of appearance of CO}_2 : 2 \]
Given that the rate of disappearance of \(\text{O}_2\) is \(0.28 \, \text{M s}^{-1}\), we can set up the following proportion:
\[ \frac{0.28}{3} = \frac{\text{Rate of
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