Page 232 - Modeling of Chemical Kinetics and Reactor Design

202 Modeling of Chemical Kinetics and Reactor Design

Example 3-9
Huang and Dauerman (1969) have studied the acetylation of benzyl
chloride in dilute solution at 102°C. Using equimolal concentrations
3
of sodium acetate and benzyl chloride (0.757 kmol/m ), Table 3-16
lists the reported data on the fraction of benzyl chloride remaining
unconverted versus time. Determine the order of the reaction and the
reaction rate constant at this temperature.

Solution

The reaction is assumed to be second order as represented by NaAc
+
–
+ C H CH Cl → C H CH Ac + Na + Cl , which can be expressed
2
5
6
2
6
5
in terms of components A and B as
A + B  → Products (3-297)

k
The rate equation for component B is
− ( r B ) =− dC B = kC C B (3-298)
A
dt
The stoichiometry for components A and B is:

Table 3-16
C /C BO
B
Time, t (ksec) where B = C H CH Cl
5
2
6
10.80 0.945
24.48 0.912
46.08 0.846
54.72 0.809
69.48 0.779
88.56 0.730
109.44 0.678
126.72 0.638
133.74 0.619
140.76 0.590