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# 26   Non-isothermal CSTR part (c)

 

Calculated values of NLE variables

 

Variable

Value

f(x)

Initial Guess

1

FA

0.2487268

-5.193E-10

0.3

2

FB

0.4598077

5.456E-10

0.3

3

FC

0.0731988

-1.83E-11

0.3

4

FD

0.0625495

-1.562E-11

0.3

 

 

Variable

Value

1

CA

0.035927

2

CA0

0.1626016

3

CB

0.0664163

4

CC

0.0105731

5

CD

0.0090349

6

CPA

16.

7

CPB

16.

8

CPC

16.

9

CPD

10.

10

dCP

4.

11

E1

5600.

12

E2

6000.

13

E3

7000.

14

FA0

0.8130081

15

FT

0.8442829

16

HA

1.46E+04

17

HB

5500.

18

HC

4000.

19

HD

3000.

20

k1

0.1570634

21

k2

0.0110212

22

k3

0.0047089

23

PA0

4.

24

Q

-3915.548

25

R

0.082

26

R2

1.987

27

rA

-0.0056428

28

rB

0.0045981

29

rC

0.000732

30

rD

0.0006255

31

SCD

1.170254

32

sumrdH

52.16361

33

T

400.

34

T0

300.

35

v

6.92312

36

V

100.

37

v0

5.

38

X

0.694066


Nonlinear equations

1

f(FA) = FA0+rA*V-FA = 0

2

f(FB) = rB*V-FB = 0

3

f(FC) = rC*V-FC = 0

4

f(FD) = rD*V-FD = 0


Explicit equations

1

PA0 = 4

2

v0 = 5

3

T0 = 300

4

R = 0.082

5

CA0 = PA0/(R*T0)

6

FA0 = v0*CA0

7

T = 400

8

V = 100

9

FT = FA+FB+FC+FD

10

v = v0*FT/FA0*T/T0

11

CA = FA/v

12

CB = FB/v

13

CC = FC/v

14

CD = FD/v

15

R2 = 1.987

16

E1 = 5600

17

E2 = 6000

18

E3 = 7000

19

k1 = 1.5E-2*exp(-E1/R2*(1/T-1/T0))

20

k2 = 8.9E-4*exp(-E2/R2*(1/T-1/T0))

21

k3 = 2.5E-4*exp(-E3/R2*(1/T-1/T0))

22

rA = -k1*CA

23

rB = k1*CA-k2*CB-k3*CB

24

rC = k2*CB

25

rD = 2*k3*CB

26

SCD = FC/FD

27

X = (FA0-FA)/FA0

28

HC = 4000

29

HD = 3000

30

CPD = 10

31

CPA = 16

32

CPB = 16

33

CPC = 16

34

dCP = 2*CPD-CPB

35

HA = 14600

36

HB = 5500

37

sumrdH = -k1*CA*(HB-HA)-k2*CB*(HC-HB)-k3*CB*((2*HD-HB)+dCP*(T-298))

38

Q = FA0*CPA*(T-T0)-V*sumrdH