(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
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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
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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!
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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