Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
Problem 1.
A 2nd order reaction is conducted in 6 ideal mixed flow reactors in series. Each
individual reactor has a volume of 250 L.
a. Calculate the overall conversion in this reactor system. Using the chart below, estimate
the overall conversion for th
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
Problem 1(50 points)
0
1
5
time 10
20
30
35.6
gm
de nsity 3.2
3
cm
R 3cm
solubility 10
Cw 1
gm
3
2.97
2.85
rad 2.687
2.28
1.62
0
data from experiment
30
3
time 20
cm
10
0
reacted layer
not possible since the candy dissolves
0
1
2
3
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
ABE 370 Quiz 1
Name:
Problem 1 (4 points). For the following rate models, write the integrated rate model C(t), assuming the
initial concentration is Co at t=0.
r = k
r = kC
C(t)= ?
C(t)= ?
r = k
r =  kC
C(t)= Co  kt
C(t)= Co ekt
Problem 2 (4 points
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
Enzyme Reac+on Kine+cs
Egyptian WineMaking
Crushing grapes,
filtration, fermentation
Mysterious bubbling
and gas evolution
Magical
transformation of
sweetness to alcohol
Essential
characteristic of living
materials
Binding and Reaction
Enzymes c
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
ABE 370 Biological and Microbial Kinetics and
Reaction Engineering
Instructor: Dr. Meng Deng
Office: ABE 319
Phone: 4941190
Email: [email protected]
Office Hours: Fridays from 3:00 5:00 pm
and by appointment
TA: Naagarajan Narayanan
Office:
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
Solutions for Homework 1
2.12 if the reaction is assumed to be elementary reaction. If not, the order of the
reaction cannot be predicted from the stoichiometry equation. Experimental
methods are required to evaluate the order if the reaction.
2'2) 02 vi
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
Other inhibition models
Uncompe(ve inhibi(on
Noncompe(ve inhibi(on
Binding of inhibitors changes binding of substrate
General Inhibition Model
General Model
KM
k2
E+S ES E+P + I
KM = [E][S]/[ES]
+
+
I
I
KI = [E][I]/[EI]
KI KI
= [ES][I]/[E
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
ABE 370 Quiz 2
Name:
Problem 1 (2 points). Prove that dX/dt =  (1/No)(dN/dt). X fractional conversion, N moles, t time
X = 1C/Co
C = N/V
dX/dt =  (1/Co)(dC/dt) =  (1/Co)(V/V)(dC/dt) =  (1/No)(V)(dC/dt) =  (1/No)(dN/dt)
Problem 2 (6 points) In what t
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
v=VM[S]/(KM+[S])
VM=kcat[E0]
kcat = turnover number, maximum rate of
substrate conversion per enzyme molecule
Note: for single substrate enzyme, kcat=k2
Most enzymes kcat ranges from 1 to 104/sec
(carbonic anhydrase, 106/sec)
v=VM[S]/(KM+[S])
Kcat/KM = ,
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
Ideal Reactor Design
The rate equa(on for a reac*ng component i is an
intensive measure, and it tells how rapidly component i
forms or disappears in a given environment as a
func*on of the condi*ons there
Why Design
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
Problem 1 Modeling drug delivery (50 points)
Medicine is to be delivered to sick lung tissue by injection into the venous blood stream. The medicine goes to
the heart and is then pumped to the lung via the arterial blood system.
Since drug efficacy is dep
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
Name:
Instructions:
1. Put your name on every sheet of paper you hand in for grading, including these pages.
2. Circle or clearly indicate all solutions correspondingly to the numbers/letters on this test.
You will lose points if your solutions are not cl
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
Welcome to
ABE 370 Biological and Microbial
Kine5cs and Reac5on Engineering
Fall 2016
Monday, Wednesday, and Friday
12:30 1:20 PM
LYNN G167
Instructor
Meng Deng, Ph.D.
Dept. of Agricultural and Biological Engineering
School of Materials Enginee
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
Problem 4.2
Since this is an aqueous system, the volume is assumed to be constant.
A + 2 B > R + S
From the stoichiometry, for every mole of A reacted, 2 moles of B are reacted.
Therefore,
XB = 2*XA*Cao/Cbo
Since Ca and Cao are given, XA = 1Ca/Cao = 12
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
Inhibition
Enzyme inhibitors are substances that reduce rate of reaction.
Enzyme inhibitors are usually defined as substance that specifically
affect the enzymatic mechanism. Substances that alter the
enzyme s general environment, such as changes in pH,
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
What is the reac+on rate model for this reversible elementary reac+on?
2A + B <> C
Rate Equa+on
The determina+on of the rate equa+on
follows a twostep procedure
the concentra+on dependency is found at xed
tempe
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
Spacetime and Spacevelocity
The performance measure for a batch reactor is t.
For steady flow reactor (MFR and PFR) the proper
performance measures are:
spacetime = 1/s
spacevelocity s = 1/
Spacetime
The time required to process one reactor volume
of
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
Trimolecular Reacons
Similarly, for the reacon
Trialanderror soluon:
Select a value for n and calculate k
The value of n which minimizes the variaon in k is the desired
value of n
Reacons are of zero orde
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
Study Guide Test 1
In order to do well on the next test, you should be able to do the following:
1. Define stoichiometry and be able to apply the concept to balance stoichiometric
equations.
2. Define limiti
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
If the input signal Cin is measured and the exit
age distribu5on func5ons Ea, Eb, and Ec are
known, then C1 is the convolu5on of Ea with
Cin and so on, thus
Example 11.1
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2014
CO G, c:
K ck Md, .
P 3
m 3'.
1 . b
E: m
MOIhr
/
8
SM
u '
M 54. mg VPo 'l'eduolosa A? ra
'cfw_M km a $00 L MFA MW)
M Wgs a can make 0" .
pain! 8  9'04! 99" m
M A.
A 9 an  aAvc
k: a. 3 m" I68 0.1 M"
M: cm. 0.5 moi/L
71" 5 VIM
A cosh 'S/M
B so; P .157
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2015
What is the reac+on rate model for this reversible elementary reac+on?
2A + B <> C
Rate Equa+on
The determina+on of the rate equa+on
follows a twostep procedure
the concentra+on dependency is found at xed
tempe
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Fall 2015
Solutions for Homework 1
2.1}2 if the reaction is assumed to be elementary reaction. If not, the order of the
reaction cannot be predicted from the stoichiometry equation. Experimental
methods are required to evaluate the order if the reaction.
22) 02 Vi
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Spring 2014
Chapter 5
CONDUCTION HEAT
TRANSFER: UNSTEADY
STATE
C HAPTER O BJECTIVES
After you have studied this chapter, you should be able to formulate and solve for a
timevarying (unsteady) heat conduction process for the following situations:
1. Where temperature
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Spring 2014
Ideal Reactor Design
Bernard Tao
Purdue University
Why Design Reactors?
Want to control reaction conversions
Cannot arbitrarily control reaction
mechanisms or rates
Issues of reactor size, mass
transport, thermal control vs.
economics
Ideal batch reactor
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Spring 2014
Enzyme Reaction Kinetics
Bernard Tao
Purdue University
Binding and Reaction
Enzymes catalyze reactions by increasing
rate approx. 1031010
Decrease activation energy barrier by
restricting possible conformational
structures of substrate (binding)
Place re
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Spring 2014
Chapter 6
CONVECTION HEAT
TRANSFER
C HAPTER O BJECTIVES
After you have studied this chapter, you should be able to:
1. Explain the process of convection heat transfer in a fluid over a solid surface in
terms of the relatively stagnant fluid layer over the
Biological/Microbial Kinetics And Reaction Engineering
ABE 37000

Spring 2014
Problem A
Methyl esters of fatty acids from plant oils are currently being used as biodegradable solvents and
diesel fuels. Assume the chemical reaction (see below) to form methyl esters (FM) from fatty acids
(F) and methanol (M) is a second order reactio