Answers
for Assignment No. 33
9-11-a
Calculated values of DEQ variables
|
|
Variable |
Initial
value |
Minimal
value |
Maximal
value |
Final
value |
|
1
|
CA
|
5.
|
0.1105309
|
5.
|
0.1105309
|
|
2
|
CB
|
0
|
0
|
2.634749
|
2.634749
|
|
3
|
CB0
|
4.
|
4.
|
4.
|
4.
|
|
4
|
CPA
|
35.
|
35.
|
35.
|
35.
|
|
5
|
CPB
|
20.
|
20.
|
20.
|
20.
|
|
6
|
CPC
|
75.
|
75.
|
75.
|
75.
|
|
7
|
CPcool |
18.
|
18.
|
18.
|
18.
|
|
8
|
DH
|
-5.5E+04
|
-5.5E+04
|
-5.5E+04
|
-5.5E+04
|
|
9
|
FB0
|
0.6956
|
0.6956
|
0.6956
|
0.6956
|
|
10
|
k
|
0.0005
|
0.0003818
|
0.01545
|
0.0004788
|
|
11
|
mC |
2000.
|
2000.
|
2000.
|
2000.
|
|
12
|
NA
|
50.
|
9.754904
|
50.
|
9.754904
|
|
13
|
NB
|
0
|
0
|
232.5298
|
232.5298
|
|
14
|
NC
|
0
|
0
|
40.2451
|
40.2451
|
|
15
|
Q
|
-2491.34
|
-2.816E+04
|
-1018.832
|
-2250.562
|
|
16
|
rA |
0
|
-0.0212833
|
0
|
-0.0003674
|
|
17
|
rB |
0
|
-0.0425665
|
0
|
-0.0007347
|
|
18
|
rC |
0
|
0
|
0.0212833
|
0.0003674
|
|
19
|
t
|
0
|
0
|
450.
|
450.
|
|
20
|
T
|
300.
|
294.0895
|
403.0276
|
299.0335
|
|
21
|
Ta1
|
290.
|
290.
|
290.
|
290.
|
|
22
|
UA
|
250.
|
250.
|
250.
|
250.
|
|
23
|
V
|
10.
|
10.
|
88.255
|
88.255
|
|
24
|
v0
|
0.1739
|
0.1739
|
0.1739
|
0.1739
|
|
25
|
X
|
0
|
0
|
0.8049019
|
0.8049019
|
Differential equations
|
1
|
d(T)/d(t)
= (Q-FB0*CPB*(T-325)+DH*rA*V)/(CPA*NA+CPB*NB+CPC*NC)
|
|
2
|
d(NA)/d(t)
= rA*V |
|
3
|
d(NB)/d(t)
= FB0+rB*V |
|
4
|
d(NC)/d(t)
= rC*V |
Explicit equations
|
1
|
DH
= -55000 |
|
2
|
v0
= 0.1739 |
|
3
|
k
= 5*10^(-4)*exp(-8000/1.987*(1/T-1/300)) |
|
4
|
V
= 10+v0*t |
|
5
|
CB
= NB/V |
|
6
|
CA
= NA/V |
|
7
|
rA = -k*CA*CB^2 |
|
8
|
rB = 2*rA |
|
9
|
CPA
= 35 |
|
10
|
CPB
= 20 |
|
11
|
CPC
= 75 |
|
12
|
rC = -rA |
|
13
|
CB0
= 4.0 |
|
14
|
CPcool = 18 |
|
15
|
mC = 2000 |
|
16
|
Ta1
= 290 |
|
17
|
UA
= 250 |
|
18
|
FB0
= v0*CB0 |
|
19
|
Q
= mC*CPcool*(Ta1-T)*(1-exp(-UA/mC/CPcool)) |
|
20
|
X
= NC/50 |