Oneeq7

Name: Oneeq7- Conversion in a chemical reactor
Source: Shacham, M., 1986, Int. J. numerical Meth. Engng, 23, 1455
Reference/s Shacham, M. 1989, Chem. Engng. Sci., 44(7), 1495
       
Model: 1 implicit equation, indep. variable name: x

EXCEL FILE 

Higher difficulty level

TEXT FILE 

Constraints: 0<=x<=1

POLYMATH FILE 

Discontinuities: function undefined for 0.8<=x<=1.0
  Initial range: zmin=0.0, zmax=0.79
       
Solved by Shacham, M., POLYMATH 5.1, build 19, Nov. 17, 2000
       
Model Eqs. Conversion in a Chemical Reactor |POLVER05_1
  f(x) = x/(1-x)-5*ln(0.4*(1-x)/(0.4-0.5*x))+4.45977 #
  x(min)=.0, x(max)=.79
       
Variable/function values Variable Value f(x)
  x 0.5

4.0214E+00
       
Root Variable Value f(x)
  x

0.757396293891

-7.4349E-12
       
Additional information The radius of convergence of derivative based methods is very small
  for this problem since the function is undefined for for 0.8<=x<=1.0
  in the near vicinity of the root
       
Function plot