Page 39 - Modeling of Chemical Kinetics and Reactor Design

Reaction Mechanisms and Rate Expressions 9

1. Cell growth:

Glucose + cells → more cells
That is:

C H O + cells → more cells (1-34)
6
12
6
2. Glucose oxidation:
Glucose oxidase
Glucose + O  → gluconolactone + H O
2
2
That is:
CH O + O  → CH O + H O (1-35)
Glucose oxidase
6 12 6 2 6 10 6 2 2
3. Gluconolactone hydrolysis:

Gluconolactone + H O → gluconic acid
2
That is:


C H O + H O  → C H O COOH (1-36)
5
2
6
10
11
5
6
4. Hydrogen peroxide decomposition:
HO  → HO + 1 O
Catalase
2 2 2 2 (1-37)
2
Analysis of the rate equation and kinetic model of the conversion
of glucose to gluconic acid is discussed in Chapter 11.
ELEMENTARY AND NON-ELEMENTARY REACTIONS

Consider the reaction between hydrogen and bromine in the
gas phase:

H + Br → 2 HBr (1-38)
2
2
Bodenstein and Lind [3] first studied the thermal reaction over the
temperature range of 500–600 K. The relative reaction rates of hydro-
gen and bromine and the formation of hydrogen bromide are: