## Main.LectureNotes34 History

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Changed lines 1-8 from:

!!! ~~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

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.

[[http://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.

[[http://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