Concept explainers
(a)
To find: The rate of reaction at time
(a)
Answer to Problem 22E
The rate of reaction with respect to time
Explanation of Solution
Given:
The expression is given as below.
Here, the variable
Calculation:
Differentiate equation (1) with respect
Hence, the rate of reaction with respect to time
(b)
To show: The equation
(b)
Explanation of Solution
Proof:
The equation is given as below.
Here the condition
Substitute the value of
Compare equation (2) and (4).
Thus, the condition
(c)
To show: The concentration if time
(c)
Answer to Problem 22E
The concentration as
Explanation of Solution
Determine the concentration as
Substitute
Therefore, the concentration value as
(d)
To find: The rate of reaction if time
(d)
Answer to Problem 22E
The rate of reaction as
Explanation of Solution
Determine the rate of reaction as
Substitute
Therefore, the rate of reaction as
(e)
To compare: The practical means of part (c) and (d).
(e)
Answer to Problem 22E
Compared the practical means of part (c) and (d).
Explanation of Solution
The result from part (c) suggests that the concentration value as
The result from part (d) suggests that the rate of reaction value as
Chapter 3 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning