Oneeq3

Name: Oneeq3 - Kinetic problem

Source: Shacham, M. and Kehat, E., 1972, Chem. Engng. Sci, 27, 2099

Reference/s Shacham, M. 1989, Chem. Engng. Sci., 44(7), 1495

Model: 1 implicit equation, indep. variable name: T

Higher difficulty level

Constraints: T>0

Initial range: Tmin=550, Tmax=560

Solved by Shacham, M., POLYMATH 5.1, build 19, Nov. 17, 2000

Model Eqs. Kinetic problem |POLVER05_1

EXCEL FILE
f(T) = exp(21000/T)/T^2-1.11e11 #

TEXT FILE
T(min)=550, T(max)=560

POLYMATH FILE

Variable/function values Variable Value f(x)

T 555
-2.3062E+10

Root Variable Value f(x)

T
551.773822885233
-3.3203E-02

Additional information Substracting two numbers of the order of 10¹¹ yields

large function value at the root, making the root

identification difficult.

Function plot

Name:	Oneeq3 - Kinetic problem
Source:	Shacham, M. and Kehat, E., 1972, Chem. Engng. Sci, 27, 2099
Reference/s	Shacham, M. 1989, Chem. Engng. Sci., 44(7), 1495

Model:	1 implicit equation, indep. variable name: T
	Higher difficulty level
	Constraints: T>0
	Initial range: Tmin=550, Tmax=560

Solved by	Shacham, M., POLYMATH 5.1, build 19, Nov. 17, 2000

Model Eqs.	Kinetic problem \|POLVER05_1
EXCEL FILE	f(T) = exp(21000/T)/T^2-1.11e11 #
TEXT FILE	T(min)=550, T(max)=560
POLYMATH FILE
Variable/function values	Variable	Value	f(x)
	T	555	-2.3062E+10

Root	Variable	Value	f(x)
	T	551.773822885233	-3.3203E-02

Additional information	Substracting two numbers of the order of 10¹¹ yields
	large function value at the root, making the root
	identification difficult.

Function plot