138 BIOLOGICAL TREATMENT OF WASTEWATER
carried out may be quite different under aerobic and anaero-
bic conditions, the processes of microbial growth and energy
utilization are similar. Typical reactions in these three phases
are formulated below:
- Organic Matter Oxidation (Respiration)
C xH (^) y O z + O 2 → CO 2 + H 2 O + Energy
- Inorganic Matter Oxidation (Respiration)
NH^42 O NO^3 H O^2 2H Energy
2 →+
- Protoplasm (Cell Material) Synthesis
C x Hy O z + NH 3 + O 2 + Energy → C 5 H 7 NO 2 + H 2
CHOxyz H NO 3 Energy
→
C 5 H 7 NO 2 +
CO 2 + H 2 O
- Protoplasm (Cell Material) Oxidation
C 5 H 7 NO 2 + 5O 2 → 5CO 2 + 2H 2 O + NH 3 + Energy
Therefore, bacterial respiration in living protoplasm is a
biochemical process whereby energy is made available for
endothermic life processes. Being dissimilative in nature,
respiration is an important process in wastewater treat-
ment practices. On the other hand, endogenous respira-
tion is the internal process in microorganisms that results
in auto-digestion or self-destruction of cellular material.^3
Actually, bacteria require a small amount of energy to main-
tain normal functions such as motion and enzyme activation
and this basal-energy requirement of the bacteria has been
designated as endogenous respiration. Even when nutri-
ents are available, endogenous metabolism proceeds with
the breakdown of protoplasm.^5 According to Bertalanffy’s
hypothesis,^6 the microbial growth is the result of competition
between two opposing processes: Aufban—assimilation, and
Abban—endogenous metabolism. The rate of assimilation is
proportional to the mass of protoplasm in the cell and the
surface area of the cell, whereas the endogenous metabolism
is dependent primarily on environmental conditions.
In the presence of enzymes produced by the living micro-
organisms, about 1/3 of the organic matter removed is oxi-
dized into carbon dioxide and water in order to provide energy
for synthesis of the remaining 2/3 of the organic matter into
the cell material. Metabolism and process reactions occur-
ring in typical biological wastewater treatment processes are
explained schematically by Stewart^7 as shown in Figure 3.
Thus, the basic equations for biological metabolisms are:
Organic matter metabolized
= Protoplasm synthesized Energy for synthesis
and
Net protoplasm accumulation
= Protoplasm synthesized Endogenous respiration.
“Growth Kinetics”
Irvine and Schaezler^8 have developed the following
expression for non-rate limited growth of microorganisms
in logarithmic phase:
d
d
N
t
kN 0
(1)
510 gINFLUENT
INFLUENT
BOD
5
510 g
250 g
350 g 275 g
525 g
105 g
160 g
ASSIMILATIVE
BOD 5
BOD^5
REMOVED BIOMASSFORMED
O 2
O 2
O 2
RESPIR
ATIO
N
ASSIMILATIVERESPIRATIO
N
RESP
IRAT
ION
ENDOGENOU
S
RESPIRATION
120 g
40 g
10 g
ENDOGENOUS^ RE
SPIR
ATIO
N
ACTIVE BIOMASS
INACTIVEBIOMA
SS
BIOMASS
EFFLUENT
BOD UNUSED
SYSTEM METABOLISM FOR SOLUBLE WASTES
INFLUENT
(SOLUBLEBOD BOD
AND VSS)
ASSIMILATED SYNTHESIZED
BIOMASS BIOMASS GROWTH
UNUSED BOD (SOLUBLE AND VSS)
INFLUENT NON-BIODEGRADABLE FSS AND VSS
WASTE = SOLUBLES + PARTICULATES EFFLUENT
EXCESSSLUDGE
RESPIRATION
FIGURE 3 Metabolism and process reactions.
Time
Time
Log
Growth PhaseGrowth PhaseDeclining Endogenous Phase
Mass of Microorganisms
LAG
Phase
LOG
Phase
Declining
Growth
Phase
Stationary
Phase
Increasing
Death Phase LogDeath PhaseDeath
Number of Visible Microorganisms
FIGURE 2 Growth pattern of microorganisms.
C002_001_r03.indd 138C002_001_r03.indd 138 11/18/2005 10:15:48 AM11/18/2005 10:15:48 AM