| Name: | Oneeq17 - Global reaction rate in Catalytic Oxidation of Nitrogen | ||
| Source: | Smith, J. M., Chemical Engineering Kinetics, McGraw-Hill, 1981,p. 443 | ||
| Vasudevan,P. T., Personal Communications | |||
| Reference/s | Shacham, M. and Brauner, N., Computers chem. Engng. Submitted | ||
| Model: | 1 implicit equation, indep. variable name: rp | ||
| Higher difficulty level | |||
| Constraints:rp>0 | |||
| Discontinuities: function undefined for rp>0.00037 and for rp=-0.0002027 | |||
| Initial range: rpmin=0, rpmax=0.00035 | |||
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| Solved by | Shacham, M., POLYMATH 5.1, build 19, March 12, 2001 | ||
| Model Eqs. | Global reaction rate in Catalytic Oxidation of Nitrogen |POLVER05_1 | ||
| f(rp) = rp-0.327*(0.06-161*rp)^0.804*exp(-5230/(1.987*(373+1.84e6*rp))) # | |||
| rp(min)=0, rp(max)=.00035 | |||
| Variable/function values | Variable | Value | f(x) |
| rp | 0.000175 | -2.8846E-04 | |
| Variable | Value | f(x) | |
| Root | rp | 0.000340568862275 | 8.8931E-11 |
| Additional Information | f'(rp)=0 at rp=0.0002338 and rp=1.974e-4. This problem is unsolvable | ||
| unless a bracketting type method (such as bisection) is used inside | |||
| the fesibble region | |||
| Function plot | |||