# 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.

ASSIGNMENTS SOLUTIONS ARCHIVES

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

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.)