Page 161 - Elements of Chemical Reaction Engineering 3rd Edition

Sec. 4.2 Scale-up of Liquid-Phase Batch Reactor Data to the Design of a CSTR 133

In the laboratory experiment, 500 rnL of a 2 M solution (2 kmol/rn3) olf eth-
ylene oxide in water was mixed with 500 mL of water containing 0.9 wt % sulfuric
acid, which is a catalyst. The temperature was maintained at 55°C. The concentra-
tion of ethylene glycol was recorded as a function of time (Table E4-1.1). From
these data, determine the specific reaction rate at 55°C.

TABLE E4- I. 1. CONCENTRATION-TIME DATA
Concentratiori of Ethylene
Time (min) Glycol (krn~Hm~)~
0.0 0.000
0.5 0.145
Check IO types of 1 .o
homework 0.270
problems on the 1.5 0.376
CD-ROM for more 2.0 0.467
solved examples 3.0 0.610
usidg this algorithm.
4.0 0.7 15
6.0 0.848
10.0 0.957
“I kmol/rn7 = 1 mol/dm3 = 1 mol/L.

In this example we use the problem-solving algorithm (A through G) that is given
in the CD-ROM and on the web “http://www.engin.umich.edu/-problernsolvmg”.
You may wish 10 follow this algorithm in solving the other examples in this chapter
and the problems given at the end of the chapter. However, to conserve space it will
not be repeated for other example problems.
A. Problem statement. Determine the specific reaction rate, kA.
B. Sketch: rt

[ A,B,C -

Batch

C. fdenfib:
C 1. Relevant theories
Rate law: -rA = k,CA
d iVA
Mole balance: - r,V
=
dt