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8-96
8-97
See Polymath program P8-29.pol.
POLYMATH Results
Calculated values of the DEQ variables
Variable initial value minimal value maximal value final value
V 0 0 1.0E+08 1.0E+08
X 0 0 0.6495463 0.6495463
Fao 1200 1200 1200 1200
ODE Report (RKF45)
Differential equations as entered by the user
[1] d(X)/d(V) = -ra/Fao
Explicit equations as entered by the user
[1] Fao = 1200
[2] T = -500*X+550
P8-30 (a)
P8-30 (b)
8-99
POLYMATH Results
Calculated values of the DEQ variables
Variable initial value minimal value maximal value final value
W 0 0 50 50
y 1 0.8062258 1 0.8062258
X 0 0 0.7845538 0.7845538
T 450 450 756.08452 756.08452
Fao 5 5 5 5
alpha 0.007 0.007 0.007 0.007
ODE Report (RKF45)
Differential equations as entered by the user
8-100
Explicit equations as entered by the user
[1] Fao = 5
[2] alpha = .007
[3] Ta = 300
[4] dHr1 = -20000
[5] Wo = .01
P8-30 (c)
8-102
8-104
P8-30 (d)
POLYMATH Results
Calculated values of the DEQ variables
Variable initial value minimal value maximal value final value
r 0.5 0.5 1000 1000
X 0 0 1 1
T 350 350 493.0235 373
Ta 373 373 373 373
ODE Report (RKF45)
Differential equations as entered by the user
Explicit equations as entered by the user
[1] Ta = 373
[2] dHrx = -20000
[3] Fao = 1200
P8-31 (a)
P8-31 (b)
P8-31 (c)
P8-31 (d)
8-107
P8-32 (a)
OLYMATH Results
Calculated values of the DEQ variables
Variable initial value minimal value maximal value final value
W 0 0 50 50
y 1 0.6823861 1 0.6823861
ODE Report (RKF45)
Differential equations as entered by the user
Explicit equations as entered by the user
[1] U = 5
P8-32 (b)
From the Polymath summary table, it is apparent that the maximum value for –rA occurs at the
beginning of the reactor.
8-109
P8-32 (c)
The maximum value for the temperature also occurs at the beginning of the reactor.
P8-33
POLYMATH Results
NLES Solution
Variable Value f(x) Ini Guess
Ca 0.0016782 -1.472E-16 0.0017
Cb 0.0016782 -1.472E-16 0.0017
Cd 0.0071436 -1.154E-16 0.0072
NLES Report (safenewt)
Nonlinear equations
[1] f(Ca) = tau*ra+Cao-Ca = 0
Explicit equations
[1] Cao = .01
[2] Cbo = .01
P8-33 (a)
