1. 2nd Order Reaction Recycle Performance Plot
100
(1-XA ) 2 5 1
kCo = 500 50
200
0. 2
10.0
0.1
0.02
1.0 10 20
Vst /V pf
R=20
R=0.5
R=50
R=10
R= 5
R= 2
N =  (plug flow)

2. 2nd Order Reaction Performance Plot
100
kCo = 1,000
100
500
N= 1
200
10.0 50
(CA0/FA0)Vst / (CA0/FA0)V pf
N= 2 20 5
N= 3 10 2
N= 4 1
N= 6
N= 10
1.0
N =  (plug flow)
0.02
(1-XA )
0.1
0. 2

3. Typical Uses for Performance Plots
100
You have an existing plug flow reactor that is running a second order reaction.in which the rate constant, the starting ( CA0 and FA0) concentrations, and the plug flow reaction volume are know.
1) What conversion is expected from this plug flow reactor?
2) What conversion is expected from a stirred tank if it has same volume as this
plug flow reactor?
1a ) Find Damkohler grouping value for this plug flow reactor
b) Read intersection of that Damkohler line (dotted line) with
the horizontal axis. ( the plug flow line)
kCo = 1,000
2a ) Start at plug flow conversion value on horizontal axis
go up the Damkohler line until it reaches the N=1
line.
b) Look straight down from the N = 1 line until it reaches
the horizontal axis and read (1-x) value.
c) Convert (1-x) to conversion value for single tank system
10.0
(CA0/FA0)Vst / (CA0/FA0)V pf
N= 1
Damkohler grouping
value for this reaction
N= 2
N= 10
1.0
0.02
(1-XA )
0.1
0. 2
Single Stirred Tank Performance
Expected plug flow Performance

4. Typical Uses for Performance Plots
100
You have an existing plug flow reactor that is running a second order reaction.in which the rate constant, the starting ( CA0 and FA0) concentrations, and the plug flow reaction volume are know.
3) What is the volume of stirred tank if you wish to keep the same conversion
as obtained in the plug flow reactor?
4) Use two stirred tanks in series as a replacement for plug flow reactor. What
flow can be expected if single stirred tank reactor conversion is maintained?
kCo = 1,000
3a ) Start at plug flow conversion value on horizontal axis
go straight up until you intersect with N=1 line.
b) Look straight across until you reaches the vertical axis
and read volume ratio.
4a ) N=2 = [Dk#N=1 /Dk# N=2 ] (VN=2/ VN=1) N=1
b) If VN=2 = 2VN=1 you can solve for N=2
10.0
(CA0/FA0)Vst / (CA0/FA0)V pf
(Damkohler Grouping
number for N=1)
N= 1
(Damkohler Grouping
number for N=2)
N= 2
N= 10
1.0
0.02
(1-XA )
0.1
Expected single tank Performance
Expected plug
flow Performance