| Name: |
Twoeq7 - Chemical equilibrium
- 3rd formulation |
| Source: |
Eberhart, J. G., 1986, J.
chem. Educ. 63, 576. |
| Reference/s |
Shacham, M. 1989, Chem. Engng.
Sci., 44(7), 1495 |
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| Model: |
2 implicit equations, indep.
variables x1 and x2 |
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Lower difficulty level |
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Constraints: 0<=x1<=1 |
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Discontinuities: function
undefined for x1=0.26667 |
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Initial estimates:1. x1=0,
x2=-1; 2. x1=0, x2=1; 3. x1=0.5, x2=0.1; 4. x1=0.5, x2=-0.1; |
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| Solved by |
Shacham, M., POLYMATH 5.1,
build 19,April 2, 2001 |
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| Model Eqs. |
Chemical Equilibrium |POLVER05_1 |
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EXCEL
FILE |
f(x1) = a-((c+2*x1)^2*(a+b+c-2*x1)^2)/(x2)-x1
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TEXT
FILE |
f(x2) = x2-kp*P^2*(b-3*x1)^3
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POLYMATH
FILE |
a = 0.5 # |
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b = 0.8 # |
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c = 0.3 # |
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kp = 604500 # |
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P = 0.00243 # |
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x1(0)=0 |
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x2(0)=-1 |
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| Variable/function values |
Variable |
Value |
f(x) |
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x1 |
0 |
0.7304 |
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x2 |
-1 |
-2.82759017 |
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| Solution 1 |
Variable |
Value |
f(x) |
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x1 |
0.6003231171445 |
0.0000E+00 |
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x2 |
-3.57990244801 |
2.2204E-15 |
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| Solution 2 |
Variable |
Value |
f(x) |
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x1 |
0.0586545710394 |
-1.0408E-16 |
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x2 |
0.86743788245 |
-2.2204E-16 |
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| Additional information |
Modified version of problem
Oneeq11. Convergence |
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to solution 1 from initial
guesses 1 and 4, convergence |
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to solution 2 from initial
guesses 2 and 3. |