) Ethane dissociates into methyl radicals at 700.OC with a rate constant of 5.50x10-4s-1. If the activation energy is 384kJ/mol, what would be the rate constant at 870.OC?
) Ethane dissociates into methyl radicals at 700.OC with a rate constant of 5.50x10-4s-1. If the activation energy is 384kJ/mol, what would be the rate constant at 870.OC?
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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1) Ethane dissociates into methyl radicals at 700.OC with a rate constant of 5.50x10-4s-1. If the activation energy is 384kJ/mol, what would be the rate constant at 870.OC?
![**Reaction Analysis and Mechanism Proposal**
**Main Reaction:**
\[ 2 \text{NO} + \text{O}_2 \rightarrow 2 \text{NO}_2 \]
- **Observed Rate Changes:**
- The reaction rate doubles if the \(\text{O}_2\) concentration doubles while \(\text{NO}\) concentration is unchanged.
- The reaction rate quadruples if the \(\text{NO}\) concentration doubles while \(\text{O}_2\) concentration remains unchanged.
**Questions and Mechanism Proposals:**
**a. Rate Law Expression:**
- Determine the rate law expression for the above reaction and label your answer appropriately in the quiz.
**Proposed Mechanisms:**
**Proposal I:**
- **Step 1:** \(\text{NO} + \text{O}_2 \rightleftharpoons \text{NO}_3\) (fast equilibrium)
- **Step 2:** \(\text{NO} + \text{NO}_3 \rightarrow \text{NO}_2 + \text{NO}_2\) (slow, rate-determining step, RDS)
**Proposal II:**
- **Step 1:** \(\text{NO} + \text{NO} \rightleftharpoons \text{N}_2\text{O}_2\) (slow, RDS)
- **Step 2:** \(\text{O}_2 + \text{N}_2\text{O}_2 \rightarrow \text{N}_2\text{O}_4\) (fast)
- **Step 3:** \(\text{N}_2\text{O}_4 \rightarrow \text{NO}_2 + \text{NO}_2\) (fast)
**b. Predicted Rate Laws:**
- Write a predicted rate law for each proposed mechanism, ensuring no intermediates appear in the expression. Show your detailed work and label your answers on the scratch paper clearly.
**c. Mechanism Evaluation:**
- Determine which proposed mechanism (I or II) aligns with the rate law expression identified previously. Provide your reasoning to receive credit, and label your answer clearly on the scratch paper.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd4c8a78-94ed-40f4-97b5-ac0eacd4f1aa%2Fa1be2bab-e030-4b8d-b045-a4e49c92212e%2F4bfrebg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Reaction Analysis and Mechanism Proposal**
**Main Reaction:**
\[ 2 \text{NO} + \text{O}_2 \rightarrow 2 \text{NO}_2 \]
- **Observed Rate Changes:**
- The reaction rate doubles if the \(\text{O}_2\) concentration doubles while \(\text{NO}\) concentration is unchanged.
- The reaction rate quadruples if the \(\text{NO}\) concentration doubles while \(\text{O}_2\) concentration remains unchanged.
**Questions and Mechanism Proposals:**
**a. Rate Law Expression:**
- Determine the rate law expression for the above reaction and label your answer appropriately in the quiz.
**Proposed Mechanisms:**
**Proposal I:**
- **Step 1:** \(\text{NO} + \text{O}_2 \rightleftharpoons \text{NO}_3\) (fast equilibrium)
- **Step 2:** \(\text{NO} + \text{NO}_3 \rightarrow \text{NO}_2 + \text{NO}_2\) (slow, rate-determining step, RDS)
**Proposal II:**
- **Step 1:** \(\text{NO} + \text{NO} \rightleftharpoons \text{N}_2\text{O}_2\) (slow, RDS)
- **Step 2:** \(\text{O}_2 + \text{N}_2\text{O}_2 \rightarrow \text{N}_2\text{O}_4\) (fast)
- **Step 3:** \(\text{N}_2\text{O}_4 \rightarrow \text{NO}_2 + \text{NO}_2\) (fast)
**b. Predicted Rate Laws:**
- Write a predicted rate law for each proposed mechanism, ensuring no intermediates appear in the expression. Show your detailed work and label your answers on the scratch paper clearly.
**c. Mechanism Evaluation:**
- Determine which proposed mechanism (I or II) aligns with the rate law expression identified previously. Provide your reasoning to receive credit, and label your answer clearly on the scratch paper.
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