|
Name: |
Threeq5 - Exothermic reversible reaction in
a CSTR |
|
Source: |
Gupta, Y.P. (1995). Ind. Eng. Chem. Res.
34, 536-544 |
|
Reference/s |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Model: |
3 implicit equations, indep. variables X,T
and h |
|
|
Lower difficulty level |
|
|
Constraints: 0<=X<=1, h>0 |
|
|
Discontinuities: Undefined for h<=0 |
|
|
Initial estimates: 1. X=0.5, T=500, h=0.5;
2. X=0.5, T=200, h=0.1; |
|
|
3. X=0.7, T=700, h=0.2 4. X=0.001, T=400,
h=0.01 |
|
|
|
|
|
|
Solved by |
Shacham, M., POLYMATH 5.1, build 19, April
5, 2001 |
|
|
|
|
|
|
Model Eqs. |
Exothermic reversible reaction in a CSTR |POLVER05_1 |
|
EXCEL
FILE |
f(X) = -0.16*X*F0/h+k1*(1-X)-k2*X # |
|
TEXT
FILE |
f(T) = 0.16*F0*T0/h-0.16*T*F0/h+5*(k1*(1-X)-k2*X)
# |
|
POLYMATH
FILE |
f(h) = 0.16*F0-0.4*sqrt(h) # |
|
|
k1 = 3e5*exp(-5000/T) # |
|
|
k2 = 6e7*exp(-7500/T) # |
|
|
F0 = 1 # |
|
|
T0 = 300 # |
|
|
X(0)=0.5 |
|
|
T(0)=500 |
|
|
h(0)=0.5 |
|
|
|
|
|
|
Variable/function values |
Variable |
Value |
f(x) |
|
|
X |
0.5 |
-2.5271E+00 |
|
|
T |
500 |
-7.5835E+01 |
|
|
h |
0.5 |
-1.2284E-01 |
|
|
k1 |
13.62 |
|
|
|
k2 |
18.35 |
|
|
|
F0 |
1.00 |
|
|
|
T0 |
300.00 |
|
|
|
|
|
|
|
Solution 1 |
Variable |
Value |
f(x) |
|
|
X |
0.0171035426725 |
-2.1759E-17 |
|
|
T |
300.08551771340 |
-2.4702E-14 |
|
|
h |
0.16 |
0.0000E+00 |
|
|
k1 |
0.0174157678841 |
|
|
|
k2 |
0.0008392344635 |
|