Lecture Notes 34
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# Mon-Fri
# Open book
# Open notes
# Open computer
# No Time Limit
# Come see me if you have questions about the numerical solution to problem 1
to:
!!! Lecture 34 - Optimization
As part of the review on optimization, homework problem 19.14 was covered in class.
'''Homework Problem 19.14''' from Process Dynamics and Control (Seborg, Edgar, Mellichamp, Doyle)
A reversible chemical reaction, A->B and B->A, occurs in an isothermal continuous stirred-tank reactor. The rate expressions for the forward and reverse reactions are:
* r1 = k1 CA
* r2 = k2 CB
Using the information given below, use a numerical search procedure to determine the value of Fb (L/hr) that maximizes the production rate of Cb (i.e. the amount of Cb that leaves the reactor, mol B/hr). The allowable values of Fb are 0 <= Fb <= 200 L/hr.
Available information
# The reactor is perfectly mixed.
# The volume of liquid, V, is maintained constant using an overflow line (not shown in the diagram).
# The following parameters are kept constant at the indicated numerical values:
* V = 200 L
* FA = 150 L/hr
* CAF = 0.3 mol A/L
* CBF = 0.3 mol B/L
The solution to this problem is possible with a number of numerical or analytical techniques. One solution approach that we covered in class was with the APMonitor software through the web interface.
[[https://apmonitor.com/online/view_pass.php?f=hw19.14.apm | Equations and Solution to HW19.14]]
'''Equations for HW19.14'''
Attach:hw19.14_equations.png
'''Solution to HW19.14'''
Attach:hw19.14_solution.png
As part of the review on optimization, homework problem 19.14 was covered in class.
'''Homework Problem 19.14''' from Process Dynamics and Control (Seborg, Edgar, Mellichamp, Doyle)
A reversible chemical reaction, A->B and B->A, occurs in an isothermal continuous stirred-tank reactor. The rate expressions for the forward and reverse reactions are:
* r1 = k1 CA
* r2 = k2 CB
Using the information given below, use a numerical search procedure to determine the value of Fb (L/hr) that maximizes the production rate of Cb (i.e. the amount of Cb that leaves the reactor, mol B/hr). The allowable values of Fb are 0 <= Fb <= 200 L/hr.
Available information
# The reactor is perfectly mixed.
# The volume of liquid, V, is maintained constant using an overflow line (not shown in the diagram).
# The following parameters are kept constant at the indicated numerical values:
* V = 200 L
* FA = 150 L/hr
* CAF = 0.3 mol A/L
* CBF = 0.3 mol B/L
The solution to this problem is possible with a number of numerical or analytical techniques. One solution approach that we covered in class was with the APMonitor software through the web interface.
[[https://apmonitor.com/online/view_pass.php?f=hw19.14.apm | Equations and Solution to HW19.14]]
'''Equations for HW19.14'''
Attach:hw19.14_equations.png
'''Solution to HW19.14'''
Attach:hw19.14_solution.png
Added lines 1-8:
!!! Exam 3 - No class instruction
# Mon-Fri
# Open book
# Open notes
# Open computer
# No Time Limit
# Come see me if you have questions about the numerical solution to problem 1
# Mon-Fri
# Open book
# Open notes
# Open computer
# No Time Limit
# Come see me if you have questions about the numerical solution to problem 1
