CHEN3010 Lecture Notes - Lecture 8: Rate Equation, Reaction Rate Constant, Nonlinear Regression
2 Jul 2018
School
Department
Course
Professor
Chemical Reaction Engineering
CHEN3010/5040
Semester 1 / 2018
Collection and Analysis of Rate Data
Fogler Chapter 7
Lecture 2
Gia Hung Pham
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Re-call……….
Determine k, αand β
1. Differential method
a. Graphical method
b. Numerical method
c. Polynomial fit
2. Integral method
a. Linear fit
b. Non-linear regression
c. Half-lives method
3. Initial rates method
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Determine kA, αand β
2. Integral method
A. Linear Fit: This method uses a trial and error procedure to find reaction
order α(αis an integer).
For monomolecular reaction A Product
Power law rate
If α= 0 (Reaction Zero order)
Integrating with CA= CA0 at t = 0, we have
A
A
ACk
dt
dC
r
k
dt
dCA
t
t
CA
CAdtkdC
A0
0
ktCC AA 0
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Document Summary
Determine k, and : differential method, graphical method, numerical method, polynomial fit. Integral method: linear fit, non-linear regression, half-lives method. Determine ka, and : integral method, linear fit: this method uses a trial and error procedure to find reaction order ( is an integer). If = 0 (reaction zero order) dc. Integrating with ca = ca0 at t = 0, we have t. If we have a linear with slope k, then we conclude the reaction is zero order: integral method. If = 1 (reaction first order) r. Plot ln(ca0/ca) versus t: integral method lnca0/ca. If we have a linear with slope k, then we conclude the reaction is first order: integral method (continued) If = 2 (reaction second order) r. Plot 1/ca versus t: integral method (continued) If we have a linear with slope k, then we conclude the reaction is second order. Find the relationship between ca and t, if =3 r.
