This document provides instructions for an assignment on analyzing the thermal cracking of ethane using the Arrhenius equation and linear regression. Students are asked to build two tables and two charts on a spreadsheet using given temperature, rate constant, and equation data. The tables and charts will be used to calculate an activation energy and frequency factor. Students will then estimate rate constants at two temperatures and post their completed analysis in a discussion board.
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Thermal cracking ethane 01
1. Simplest Formula Series in Chemistry
Thermal Cracking of Ethane in a Tubular Reactor
Stephen Joseph Boylan 2020
Learning Objective: Use the Arrhenius equation and linear regression analysis to calculate the
frequency factor and activation energy from temperatures and reaction rate constants. This
exercise will develope your habits and skills to analyse temperature and rate data using linear
regression.
2. Thermal Cracking of
Ethane in a Tubular
Reactor
Arrhenius Equation and
Linear Regression Analysis
Stephen Joseph Boylan October 2020
5. Part 1 Introduction
This assignment combines the chemistry of thermal cracking
and the Arrhenius equation with the statistical method of
linear regression and with using a spread sheet on the
computer.
6. Introduction - Chemistry
Ethane is a molecule that is available in a chemical plant.
Ethane is converted to ethylene by the process of thermal
cracking in a chemical reactor. The ethylene produced goes to
make many different products including plastics. In the
process of thermal cracking the ethane flow is heated. The
high temperature causes the ethane molecules to break into
the smaller molecules of ethylene.
7. Introduction - Arrhenius Equation
The Arrhenius equation presents the relation of reaction rate
constant to temperature. The form of the Arrhenius
equation used in this assignment is:
ln k = ln A + (-Ea/R)*(1/T)
8. Introduction - Symbols for the Arrhenius Equation
ln k = ln A + (-Ea/R)*(1/T)
ln = natural logarithm base e
k = reaction rate constant
A = pre-exponential constant
Ea = activation energy
R = gas law constant
* = multiplication operation
T = temperature in Kelvin
9. Introduction - Linear Regression
Linear regression is an analysis method that provides an
equation in which a variable y is determined as a function of
x. The form of the equation is:
y = a + b * x
x and y are variables. a and b are parameters.
11. Objective One
Your first objective is to do a linear regression analysis by
making two tables on a spread sheet.
The spread sheet and tables are shown in the next slide.
The spread sheet is shown in small form to fit the page. Later
slides will be enlarged to show details.
13. Objective Two
Your second objective is to make two charts showing the
relation of reaction rate constant to temperature.
The charts are shown on the next slide.
Charts are shown in small form to fit the page. Later charts
will be enlarged to show details.
15. Objective Three
Your third objective is to use your sheet to estimate the
reaction rate constants at two different temperatures.
The next slide shows the estimated reaction rate constants in
the Summary of Analysis section.
17. Part 2 Build the tables and Charts.
Follow the instructions on the next slides to build the
tables and charts.
18. Step 1. Start a new Sheet in Chromebook or other spread
sheet.
Use plus icon to start a new application.
Identify your new sheet as Thermal Cracking
xxxyyyymmdd
Substitute your initiates for xxx
Substitute the date for yyyymmdd
22. Step 3. Enter summary of analysis
See next sheet for summary of analysis.
Enter the formulas as shown in column D and column H
Start your formulas with the = sign.
35. Part 4. Make two Charts
Chart 91-A shows the input data of reaction rate constant
versus temperature. This is a non-linear relation.
Chart 91-B shows the natural logarithm of the reaction rate
constant versus reciprocal temperature. This is a linear
relation and can be represented by an straight line.
46. Simplest Formula Series in Chemistry
Thermal Cracking of Ethane in a Tubular Reactor
Stephen Joseph Boylan 2020
Learning Objective: Use the Arrhenius equation and linear regression analysis to calculate the
frequency factor and activation energy from temperatures and reaction rate constants. This
exercise will develope your habits and skills to analyse temperature and rate data using linear
regression.
47. Simplest Formula Series in Chemistry
Thermal Cracking of Ethane in a Tubular Reactor
References
Froment, G. F., Bischoff, K. B., Chemical Reactor Analysis and Design Second Edition, John
Wiley& Sons, Inc., New York 1990
Walepole, R. E., Myers, R. H., Probability and Statistics for Engineers and Scientists 2ed.,
Macmillian Publishing Co., Inc., New York, 1978
48.
49. … … … … …
Thank you for taking the time to
watch.
Stephen Joseph Boylan
2020