(b) Write the rate law for the reaction 2A + B C if the reaction (1) is second order in B and overall third order, (2) is zero. order in A and first order in B, (3) is zero order in both A and B, and (4) in first order in A and overall
(b) Write the rate law for the reaction 2A + B C if the reaction (1) is second order in B and overall third order, (2) is zero. order in A and first order in B, (3) is zero order in both A and B, and (4) in first order in A and overall
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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![### Transcription of Reaction Rate Law Problem
**Problem (b):** Write the rate law for the reaction:
\[ 2A + B \rightarrow C \]
Based on the following scenarios:
1. The reaction is second order in B and overall third order.
2. The reaction is zero order in A and first order in B.
3. The reaction is zero order in both A and B.
4. The reaction is first order in A and overall zero order.
### Explanation of Scenarios:
- **Scenario (1):**
- **Order in B:** 2nd
- **Overall Order:** 3rd
- **Implication:** The order of A must be 1, since it is overall 3rd order (1 for A + 2 for B = 3).
- **Scenario (2):**
- **Order in A:** 0
- **Order in B:** 1st
- **Overall Order:** 1st (0 for A + 1 for B = 1)
- **Scenario (3):**
- **Order in A:** 0
- **Order in B:** 0
- **Overall Order:** 0 (0 for A + 0 for B = 0)
- **Scenario (4):**
- **Order in A:** 1st
- **Overall Order:** 0
- **Implication:** There must be some factor negating the effect of A's contribution to the rate, possibly implying other factors not dependent on A or B.
Feel free to link back to this page for further clarification or practice problems!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd47fc2c3-8f4b-4085-b234-bc909be774e3%2F2f45bf1d-9bb2-4091-9ee4-c289e793ebd2%2Fc1oqxjd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Transcription of Reaction Rate Law Problem
**Problem (b):** Write the rate law for the reaction:
\[ 2A + B \rightarrow C \]
Based on the following scenarios:
1. The reaction is second order in B and overall third order.
2. The reaction is zero order in A and first order in B.
3. The reaction is zero order in both A and B.
4. The reaction is first order in A and overall zero order.
### Explanation of Scenarios:
- **Scenario (1):**
- **Order in B:** 2nd
- **Overall Order:** 3rd
- **Implication:** The order of A must be 1, since it is overall 3rd order (1 for A + 2 for B = 3).
- **Scenario (2):**
- **Order in A:** 0
- **Order in B:** 1st
- **Overall Order:** 1st (0 for A + 1 for B = 1)
- **Scenario (3):**
- **Order in A:** 0
- **Order in B:** 0
- **Overall Order:** 0 (0 for A + 0 for B = 0)
- **Scenario (4):**
- **Order in A:** 1st
- **Overall Order:** 0
- **Implication:** There must be some factor negating the effect of A's contribution to the rate, possibly implying other factors not dependent on A or B.
Feel free to link back to this page for further clarification or practice problems!
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