Page 227 - Modeling of Chemical Kinetics and Reactor Design

Reaction Rate Expression 197
−
= 21 × 1 × 1
.
1 0 022 5
.
= 909 lgmol •min

At 110°C, C = 0.025 gmol/l, t = 2 min, and
AO 1/2
−
k = 21 × 1 × 1
110
.
1 0 025 2
= 20 l gmol•min

The activation energy and frequency factor can be determined from
the Arrhenius equation

k = k exp  − E 
T O  RT  (3-290)

where k = rate constant at known temperature
T
k = frequency factor
O
E = activation energy
R = ideal gas constant 1.987cal/mol • K

 − E 
k = k exp  
 R 373)
100 O ( (3-291)

 − E 
k 110 = k exp   (3-292)
(
O
 R 383)
Dividing Equation 3-291 by Equation 3-292 gives

(
k 100 = exp − ( ER 373))
(
k 110 exp − ( ER 383)) (3-293)

Removing the exponential, Equation 3-293 can be expressed as