A chemical reaction A→B is carried out in a closed vessel. The following data are taken for the concentration of A, CA(g/L), as a function of time, t(min), from the start of the reaction. CA (g/liter) CAO CAE time (min) Ca (g/L) 0.2823 7(min) 36.0 0.18390 65.0 In 0.13550 100.0 0.09980 = = - kt 160.0 A proposed reaction mechanism predicts that CA and t should be related by the expression CA - CAe Cao – CAe. - 0.06980 0.0495 where k is the reaction rate constant. a) Plot the data appropriately to determine the value of k. Report the Value of k b) If the tank volume is 125.0 L and there is no B in the tank at t = 0, how much B(g) does the tank contain after 2.00 hours? c) Estimate the times required for the final concentration of A to reach 1.10, 1.05, and 1.01 times C'Ae at t = t₁, t2, and t3 respectively. (Those estimates depend upon the exact value of k used.) Report t₁, t2, and t3, and the mass of B produced at each time.
A chemical reaction A→B is carried out in a closed vessel. The following data are taken for the concentration of A, CA(g/L), as a function of time, t(min), from the start of the reaction. CA (g/liter) CAO CAE time (min) Ca (g/L) 0.2823 7(min) 36.0 0.18390 65.0 In 0.13550 100.0 0.09980 = = - kt 160.0 A proposed reaction mechanism predicts that CA and t should be related by the expression CA - CAe Cao – CAe. - 0.06980 0.0495 where k is the reaction rate constant. a) Plot the data appropriately to determine the value of k. Report the Value of k b) If the tank volume is 125.0 L and there is no B in the tank at t = 0, how much B(g) does the tank contain after 2.00 hours? c) Estimate the times required for the final concentration of A to reach 1.10, 1.05, and 1.01 times C'Ae at t = t₁, t2, and t3 respectively. (Those estimates depend upon the exact value of k used.) Report t₁, t2, and t3, and the mass of B produced at each time.
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
Related questions
Question
Help with the following question. Please answer all parts.
![A chemical reaction A→B is carried out in a closed vessel. The following data are taken for the
concentration of A, CA(g/L), as a function of time, t(min), from the start of the reaction.
CA (g/liter)
CAO
CAE
time
(min)
Ca
(g/L)
0.2823
7(min)
36.0
0.18390
65.0
In
0.13550
100.0
0.09980
=
= - kt
160.0
A proposed reaction mechanism predicts that CA and t should be related by the expression
CA - CAe
CAO CAe.
0.06980
0.0495
where k is the reaction rate constant.
a) Plot the data appropriately to determine the value of k. Report the Value of k
b) If the tank volume is 125.0 L and there is no B in the tank at t = 0, how much B(g) does the tank
contain after 2.00 hours?
c) Estimate the times required for the final concentration of A to reach 1.10, 1.05, and 1.01 times C'Ae
at t = t₁, t2, and t3 respectively. (Those estimates depend upon the exact value of k used.)
Report t₁, t2, and t3, and the mass of B produced at each time.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcef3f1b2-56cd-4f45-949e-fc7a38ef994c%2F5aa695a7-dc32-470f-97c0-c3ce89a31939%2F1916ts_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A chemical reaction A→B is carried out in a closed vessel. The following data are taken for the
concentration of A, CA(g/L), as a function of time, t(min), from the start of the reaction.
CA (g/liter)
CAO
CAE
time
(min)
Ca
(g/L)
0.2823
7(min)
36.0
0.18390
65.0
In
0.13550
100.0
0.09980
=
= - kt
160.0
A proposed reaction mechanism predicts that CA and t should be related by the expression
CA - CAe
CAO CAe.
0.06980
0.0495
where k is the reaction rate constant.
a) Plot the data appropriately to determine the value of k. Report the Value of k
b) If the tank volume is 125.0 L and there is no B in the tank at t = 0, how much B(g) does the tank
contain after 2.00 hours?
c) Estimate the times required for the final concentration of A to reach 1.10, 1.05, and 1.01 times C'Ae
at t = t₁, t2, and t3 respectively. (Those estimates depend upon the exact value of k used.)
Report t₁, t2, and t3, and the mass of B produced at each time.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 9 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Introduction to Chemical Engineering Thermodynami…](https://www.bartleby.com/isbn_cover_images/9781259696527/9781259696527_smallCoverImage.gif)
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
![Elementary Principles of Chemical Processes, Bind…](https://www.bartleby.com/isbn_cover_images/9781118431221/9781118431221_smallCoverImage.gif)
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
![Elements of Chemical Reaction Engineering (5th Ed…](https://www.bartleby.com/isbn_cover_images/9780133887518/9780133887518_smallCoverImage.gif)
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
![Introduction to Chemical Engineering Thermodynami…](https://www.bartleby.com/isbn_cover_images/9781259696527/9781259696527_smallCoverImage.gif)
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
![Elementary Principles of Chemical Processes, Bind…](https://www.bartleby.com/isbn_cover_images/9781118431221/9781118431221_smallCoverImage.gif)
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
![Elements of Chemical Reaction Engineering (5th Ed…](https://www.bartleby.com/isbn_cover_images/9780133887518/9780133887518_smallCoverImage.gif)
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
![Process Dynamics and Control, 4e](https://www.bartleby.com/isbn_cover_images/9781119285915/9781119285915_smallCoverImage.gif)
![Industrial Plastics: Theory and Applications](https://www.bartleby.com/isbn_cover_images/9781285061238/9781285061238_smallCoverImage.gif)
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
![Unit Operations of Chemical Engineering](https://www.bartleby.com/isbn_cover_images/9780072848236/9780072848236_smallCoverImage.gif)
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The