Applications of Chemical Kinetics in Environmental Systems - Elements of Environmental Engineering: Thermodynamics and Kinetics - page 382

0.4 0.094 0.000723 0.003424

0.2 0.029 0.000404 0.004565

0.2 0.026 0.000411 0.004823

0.1 0.01 0.000213 0.005443

0.1 0.013 0.000206 0.004823

0.05 0.007 0.000102 0.004648

0.05 0.005 0.000106 0.005443

A plot of ( 1 /t) ln ( [ S ] 0 / [ S ] ) versus ( [ S ] 0 −[ S ] )/t was obtained as shown in Figure 6.66.
The slope of the line was − 0.96647, which gives K m =− 1 / slope = 1.03 ppmw.
The intercept was 0.004771, which meant V max /K m = 0.004771. Hence V max =

0.0049 ppmw/day. The correlation coefficient for the straight line was 0.7852. This
example should serve to illustrate how a batch reactor can be used to obtain the
Michaelis-Menten constants for a biodegradation process.

6 ¥ 10 -3

Y = M 0 + M1*X
0.0047709

M0

10 -3 5 ¥

M1 -0.96654

R 2

0.78522

4 ¥ 10 -3

10 -3 3 ¥

10 -3 2 ¥

10 -3 1 ¥

0 0.0005 0.001 0.0015 0.002 0.0025 0.003 0.0035

([S] 0 - [S])/ t

FIGURE 6.66 A linearized plot of picloram degradation rate in an enzyme batch
reactor.

6.5.1.2 Plug-Flow Enzyme Reactor

The equation describing a PFR for an enzyme reaction is identical to the one described
in Section 6.1.1.3.

d [S]
d V ,

r S =− F in (6.234)