Suppose that the head is (5 m) at ( t=0 ). Derive a relationship between the head and the time. 4m 커
Suppose that the head is (5 m) at ( t=0 ). Derive a relationship between the head and the time. 4m 커
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
![Q3/ Consider the following liquid level system shown below. The flow through the
valve is related to the head (h) by the equation:
90 = √h³
Where: qu the flow rate measured in ( m³/min), h = the head of liquid in (m).
Suppose that the head is (5 m) at ( t=0). Derive a relationship between the head and
the time.
4m
K
키
7m
3m
2m
쉬
R
*
qo
ZE](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a5fe5ab-3fc1-4cdb-a5fc-5da181ef550d%2Ff64fc02b-e7fd-4451-be16-271553c1089a%2Fjxego5s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q3/ Consider the following liquid level system shown below. The flow through the
valve is related to the head (h) by the equation:
90 = √h³
Where: qu the flow rate measured in ( m³/min), h = the head of liquid in (m).
Suppose that the head is (5 m) at ( t=0). Derive a relationship between the head and
the time.
4m
K
키
7m
3m
2m
쉬
R
*
qo
ZE
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.
Step 1: Write the given data in this step.
VIEWStep 2: Write a mass balance equation for the liquid in the tank.
VIEWStep 3: Assume that the flow rate through the valve is the only way that mass is entering or leaving the tab
VIEWStep 4: Apply the inverse Laplace transform to solve the equation.
VIEWStep 5: Simplify the resulting equation to obtain a differential equation relating the head and the time.
VIEWSolution
VIEWStep by step
Solved in 6 steps with 5 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