Consider a reaction which is 2nd-order in A (•) and 1st-order in B (o): A+B C. What are the relative rates of this reaction in the vessels shown below arranged from slowest to fastest? Each vessel has the same volume. 7. (1) (I) (II) aV) (a) III

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...
icon
Related questions
Question
**Question 7:**

Consider a reaction which is 2nd-order in A (●) and 1st-order in B (○): \( \text{A} + \text{B} \rightarrow \text{C} \). What are the relative rates of this reaction in the vessels shown below arranged from slowest to fastest? Each vessel has the same volume.

**Diagrams:**

- **Vessel (I):** Contains 3 black circles (A) and 5 white circles (B).
- **Vessel (II):** Contains 6 black circles (A) and 2 white circles (B).
- **Vessel (III):** Contains 4 black circles (A) and 4 white circles (B).
- **Vessel (IV):** Contains 5 black circles (A) and 3 white circles (B).

**Options:**

(a) III < I = IV < II  
(b) I < III < II < IV  
(c) IV < II < III < I  
(d) I < I < IV < III  
(e) II < I < IV < II  

**Explanation:**

The rate law for the reaction is \( \text{Rate} = k [A]^2 [B] \), where \( k \) is the rate constant, and [A] and [B] are the concentrations of A and B, respectively. The rate depends on the concentrations of the reactants, with a higher concentration leading to a higher reaction rate. Given the order of the reaction, A is more influential in determining the rate compared to B due to its second-order nature. Calculate the rates in each vessel and organize them from slowest to fastest based on these calculations.
Transcribed Image Text:**Question 7:** Consider a reaction which is 2nd-order in A (●) and 1st-order in B (○): \( \text{A} + \text{B} \rightarrow \text{C} \). What are the relative rates of this reaction in the vessels shown below arranged from slowest to fastest? Each vessel has the same volume. **Diagrams:** - **Vessel (I):** Contains 3 black circles (A) and 5 white circles (B). - **Vessel (II):** Contains 6 black circles (A) and 2 white circles (B). - **Vessel (III):** Contains 4 black circles (A) and 4 white circles (B). - **Vessel (IV):** Contains 5 black circles (A) and 3 white circles (B). **Options:** (a) III < I = IV < II (b) I < III < II < IV (c) IV < II < III < I (d) I < I < IV < III (e) II < I < IV < II **Explanation:** The rate law for the reaction is \( \text{Rate} = k [A]^2 [B] \), where \( k \) is the rate constant, and [A] and [B] are the concentrations of A and B, respectively. The rate depends on the concentrations of the reactants, with a higher concentration leading to a higher reaction rate. Given the order of the reaction, A is more influential in determining the rate compared to B due to its second-order nature. Calculate the rates in each vessel and organize them from slowest to fastest based on these calculations.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Rate Laws
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY