Consider two tanks T1 and T2 with T1 containing 50 gallons of water in which 25 pounds of salt is dissolved and T2 containing 50 gallons of pure water. A brine solution containing 2 pounds of salt per gallon is pumped from outside into T1 at a rate of 4 gal/min and salt solution is circulated at rates of 6 gal/min from T1 to T2 and 2 gal/min from T2 to T1. If the content of T2 is withdrawn out of the system at the same rate as the brine solution from outside into T1 (i.e., 4 gal/min), and the mixture in each tank is well mixed, find the salt contents y1 (t) and y2 (t) in T1 and T2 respectively using the Laplace transform method for nonhomogeneous systems of ODEs. Determine the time it would take for the salt contents in the two tanks to be equal.
Consider two tanks T1 and T2 with T1 containing 50 gallons of water in which 25 pounds of salt is dissolved and T2 containing 50 gallons of pure water. A brine solution containing 2 pounds of salt per gallon is pumped from outside into T1 at a rate of 4 gal/min and salt solution is circulated at rates of 6 gal/min from T1 to T2 and 2 gal/min from T2 to T1. If the content of T2 is withdrawn out of the system at the same rate as the brine solution from outside into T1 (i.e., 4 gal/min), and the mixture in each tank is well mixed, find the salt contents y1 (t) and y2 (t) in T1 and T2 respectively using the Laplace transform method for nonhomogeneous systems of ODEs. Determine the time it would take for the salt contents in the two tanks to be equal.
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
Consider two tanks T1 and T2 with T1 containing 50 gallons of water in which 25 pounds of salt
is dissolved and T2 containing 50 gallons of pure water. A brine solution containing 2 pounds
of salt per gallon is pumped from outside into T1 at a rate of 4 gal/min and salt solution is
circulated at rates of 6 gal/min from T1 to T2 and 2 gal/min from T2 to T1. If the content of T2 is
withdrawn out of the system at the same rate as the brine solution from outside into T1 (i.e., 4
gal/min), and the mixture in each tank is well mixed, find the salt contents y1 (t) and y2 (t) in T1
and T2 respectively using the Laplace transform method for nonhomogeneous systems of
ODEs. Determine the time it would take for the salt contents in the two tanks to be equal.
Expert Solution
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 6 steps with 6 images
Recommended textbooks for you
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…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
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…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The