Page 241 - Modeling of Chemical Kinetics and Reactor Design

Reaction Rate Expression 211

Table 3-21
p , atm t 1/2 (sec) p /RT × 10 –3 t 1/2 -estimated
O
O
0.135 1,060 1.6208 1,059.8
0.286 500 3.4337 ,501.7
0.416 344 4.9945 ,342.2
0.683 209 8.2001 ,209.5

The constants for Equation 3-330 from PROG1 are:

• A = 1.7834
• B = –0.992
• Correlation Coefficient = 1.0

The slope B = –0.9922 = 1 – n. Therefore, the value of n = 1.992
≅ 2 and the reaction is second order. The value of the rate constant k
at T = 1,015 K is

t 12 = RT
kp
O
Therefore,

•
.
k = RT = 0 08206 ×1 015,  l atm • K 
−
pt 0 135 × 1 060,  mol K atm •sec 
.
O 12
l
.
= 0 582
mol •sec
(4) Applying the Arrhenius equation

−
E 
k = k exp   RT  (3-331)
T
O
Linearizing Equation 3-331 gives

ln k = ln k − E
T O (3-332)
RT