Assignments

The following assignment solutions were prepared by David Adrian, Karen Daniel, and Bin Pan. Used with permission. In each solution there is a summary document along with supporting files. The archive contains each assignment's problems, solutions, and supporting files.

ASSIGNMENTSSOLUTIONSARCHIVES

Problem set 1 (PDF)

vinylethene1.txt (TXT)

vinylethene2.txt (TXT)

vinylethene3.txt (TXT)

(PDF)

hwk1prob1.m (M)

hwk1prob2.m (M)

(ZIP) (The ZIP file contains: 3 .txt files, 2 .pdf files, and 2 .m files.)
Problem set 2 (PDF)(PDF)(ZIP) (The ZIP file contains: pset02.pdf and pset02_soln.pdf.)
Problem set 3 (PDF)

(PDF)

hw3prob3.m (M)

(ZIP) (The ZIP file contains: pset03.pdf, hw3prob3.m, and pset03_soln.pdf.)
Problem set 4 (PDF)Solution to problem 1 (PDF)(ZIP) (The ZIP file contains: pset04.pdf and pset04_01_soln.pdf.)
Problem set 5

Fogler problems:

2-5, parts a, b, f, g

6-6, parts a-e

13-19, parts a-h

14-3, parts a-b

Additional information (PDF)

  

Problem set 6 (PDF)

Amendment to the question: What magnitude of temperature perturbation would lead to a shift to a hotter steady state (ignition)?

Batch reactor balances (PDF) (Courtesy of David Adrian. Used with permission.)

(PDF)

hw6p1.m (M)

stabilitydiagram.m (M)

oneweek.fig (FIG - 1.7 MB)

(ZIP - 1.9 MB) (The ZIP file contains: 3 .pdf files, 2 .m files, and 1 .fig file.)
Problem set 7 (PDF)(PDF)(ZIP) (The ZIP file contains: pset07.pdf and pset07_soln.pdf.)

Problem set 8

Fogler problems:

10-4, all parts

11-5, all parts

There is a typo in the problem statement for 11-5. The length of the reactor pipe should be 20 cm, not 20 m. Also, please use the following viscosity and diffusivity data:

At 500oC, the viscosity of hydrogen is 0.015 centipoise and the viscosities of cyclohexane and benzene are both 0.1 centipoise. Assume the diffusivity of all species (Dab) is 0.857 cm2/s at the reactor T and P

  

Problem set 9

Fogler problems:

12-4

12-6

(For those with the 3rd edition of Fogler, the problems numbers are the same as in the 4th edition.)

  
Problem set 10 (PDF)(PDF)(ZIP) (The ZIP file contains: pset10.pdf and pset10_soln.pdf.)

WebLab Experiment

This experiment was part of the Cambridge-MIT Institute funded Web Based Teaching Project. First, students completed a pre-lab assignment. Then students at MIT observed a reactor running at Cambridge University in real time. Finally, the students analyzed the data in a post-lab assignment. A short description follows below. More information about the nonideal reactor WebLab can be found here.

A reaction of phenolphthalein occurs in aqueous sodium hydroxide solution.

Preliminary Analysis

From ideal batch reactor data, we can determine experimental rate constants for the reaction. The actual reaction is conducted in a non-ideal, continuous, stirred tank reactor. The ideal CSTR and bypass/dead volume models yield equations with unknown parameters. Tracer data can be used to find the unknown parameters for the bypass/dead volume model. The goal is to run the reactor at a given product flowrate and conversion. Equations can be derived that relate flowrate, conversion, and NaOH flowrate for both the ideal CSTR and bypass/dead volume models.

Experiment

The reactor is operated first at the NaOH flowrate derived for the ideal CSTR model. Then the reactor is operated at the NaOH flowrate derived for the non-ideal bypass/dead volume model. The data collected from the WebLab experiment can be analyzed to test the assumption that the reactor behaves as an ideal CSTR and to test the non-ideal model parameters derived in the preliminary analysis.

These files are courtesy of Andreas Braumann and Michael Goodson. Used with permission.

Pre-lab Assignment: (PDF)

Data: Run 1 (TXT); Run 2 (TXT); Run 3 (TXT); Run 4 (TXT)

Post-lab Assignment: (PDF)

WebLab Files: (ZIP) (The ZIP file contains: 2 .pdf files and 4 .txt files.)