Inactivation of indicator bacteria in wastewater by chlorineÐa
kinetics study
Abdennaceur Hassen
a,*
, Abderrahim Heyouni
b
, Hedi Shayeb
b
, Mohamed Cherif
c
,
Abdellatif Boudabous
d
a
Institut National de Recherche Scienti®que et Technique, Laboratoire Environnement, B.P. 24-1082, Cite Mahrajene, Tunis, Tunisia
b
Ecole Nationale des Ingenieurs de Tunis, Campus Universitaire, B.P. 37-1002, Tunis Belvederes Tunis, Tunisia
c
Institut National Agronomique de Tunisie, 43 Avenue Charles Nicole, 1082, Cite Mahrajene, Tunis, Tunisia
d
Faculte des Sciences de Tunis, Laboratoire de Microbiologie, Campus Universitaire, 1060 Tunis, Tunisia
Received 28 February 1998; received in revised form 28 April 1999; accepted 25 May 1999
Abstract
The aim of this study was to characterise the kinetics of chlorine consumption and of inactivation of indicator bacteria in
secondary wastewater using a batch laboratory reactor. In this time-course study, dierent concentrations of chlorine, used as
NaOCl, were injected into the reactor, the levels of the dierent forms of residual chlorine were measured, and the numbers of faecal
coliforms and faecal streptococci were determined. The results of the kinetics of chlorine consumption showed that monochlor-
amines and trichloramines were the more important forms of residual chlorine as compared to free chlorine and dichloramines. The
high contents of trichloramines indicated that the reaction of chlorine with ammoniacal nitrogen was very fast and that the
transformation of chlorine into trichloramines was carried out in a time shorter than 1 min. Experimental results showed that the
application of the model of Chick-Watson in its original form was not representative of the kinetics of inactivation of faecal
coliforms and faecal streptococci. Modi®cation of this model, in considering an initial reduction just at the contact of water with
chlorine, improved the results of adjustment of the model. The same ®ndings are valid for the model of Collins-Selleck in considering
a value m imposed to the concentration of residual chlorine, since it appeared clearly that the concentration of chlorine in¯uenced
the output of disinfection more than did the time of contact. Ó 1999 Elsevier Science Ltd. All rights reserved.
Keywords: Wastewater; Disinfection; Chlorine; Modelling; Residual chlorine; Indicator bacteria
1. Introduction
Disinfection is often a stage for the reusability of
treated wastewater. The main objective of disinfection is
to reduce sanitary risks related to the presence of
pathogens. Assessment of sanitary risks consists in in-
dexing and identifying pathogens that may be present in
such a water. Nevertheless, a serious analytical problem
may be encountered, especially when the number of
these pathogens is relatively low and their presence is
random. A growing body of evidence has indicated that
the use of indicator bacteria, which have the advantage
of being abundant and easily countable, is very useful in
the assessment of sanitary risks related to the presence
of pathogens (Wyer et al., 1997).
Water disinfection can be achieved via dierent
means such as chlorination, ozonation and ultraviolet
radiation (Moeller and Calkins, 1980; Come and Bariou,
1980, Anonymous, 1989). Disinfection by chlorine has
gained wide acceptance commercially, probably because
of its simplicity and its moderate cost; despite the major
problem of secondary harmful products generated by
this treatment (Pourmoghaddas and Stevens, 1995;
Racaud and Rawzy, 1994; Sanchez, 1993). Disinfection
achieved by such a process is often accomplished in two
steps: a step of fast mixture and a step of contact be-
tween chlorine and water, during a suciently long time
to allow the product to play its disinfection role. The
success of the operation of disinfection depends greatly
upon the conditions prevailing during the second step.
Besides the physico-chemical quality of the treated wa-
ter, many other factors may aect this operation, among
which we ®nd the hydraulic functioning of the cont-
actor, the kinetics of chlorine reaction with the
components present in water and the kinetics of
bacterial inactivation.
Bioresource Technology 72 (2000) 85±93
*
Corresponding author. Tel.: +216-1-788-436; fax: +216-1-430-934.
0960-8524/00/$ - see front matter Ó 1999 Elsevier Science Ltd. All rights reserved.
PII: S 0 9 6 0 - 8 5 2 4 ( 9 9 ) 0 0 0 8 6 - 3
In order to characterize the functioning of such a
process, we have undertaken an experimental study en-
abling modelling of the kinetics of chlorine consumption
and bacterial inactivation in secondary wastewater.
Once combined with an adequate hydrodynamic model,
the obtained kinetics would allow the construction of a
simulation model of a chlorination reactor. The goal of
this study was, therefore, to characterize the kinetics of
chlorine consumption and indicator bacterial inactiva-
tion in secondary wastewater.
2. Methods
2.1. Wastewater treatment
Chlorination assays were performed on samples of
secondary treated wastewater (trickling ®ltrate) previ-
ously sand ®ltered in a semi-industrial pilot plant. Sand
®ltration allowed an appreciable improvement of the
quality of water and resulted in a considerable lowering
of the initial demand for chlorine.
2.2. Experimental procedure
Disinfection assays: Experiments were performed in 3
l pyrex beakers each containing a magnetic stirrer ro-
tating at 500 rpm. Wastewater (2 l) was mixed with 50
ml of disinfectant (sodium hypochlorite) prepared at
´ 10 the required ®nal dose. Wastewater chlorination
was tested with concentrations varying from 6.5 to 25
mg/l. Samples (50 ml) were taken at regular intervals
varying from 2 to 40 min, and the oxidative reaction was
immediately stopped by addition of sodium thiosulphate
before residual chlorine measurement and faecal bacte-
ria enumeration. Each assay was carried out at least 4
times. In the control, 50 ml of sterile distilled water were
mixed with wastewater samples instead of the disinfec-
tant.
Residual chlorine measurement: The dierent forms of
residual chlorine were determined by the sulphate di-
ethyl-p-phenylenediamine (DPD) method according to
Nicholson (1965). Chlorine and derived compounds re-
act with DPD to give a red colour susceptible of tit-
rimetric measuring with ammonium ferrous (II)
sulphate solution. Addition of potassium iodide (KI) as
an oxidiser, at dierent contact times, allowed dieren-
tiation among free chlorine and dierent combined
forms of chlorine such as mono-, di-, and trichlor-
amines.
Enumeration of indicator bacteria: The number of
indicator bacteria was determined based on the French
standard methods of the most probable number MPN
(Rodier, 1978), and the corrected MPN tables proposed
by Man (1983) were used.
3. Results and discussion
The goal of the present investigation was to charac-
terize the kinetics of chlorine consumption and bacterial
inactivation. The rates of reduction of faecal indicator
bacteria, as a function of time of contact, in the presence
of dierent chlorine concentrations were determined.
The rate of inactivation was associated with a concen-
tration, C, of residual free chlorine and with a time of
contact measured using as origin time t 0 corre-
sponding to the moment of chlorine injection into the
water.
3.1. Reaction of chlorine consumption
The wastewater, even when puri®ed and treated by
®ltration, contained relatively large quantities of organic
and mineral matters with a BOD
5
content varying from
15 to 30 mg O
2
/l and a COD ranging from 20 to 30 mg
O
2
/l. The content in ammoniacal nitrogen ¯uctuated
between 8 and 20 NH
3
±N mg/l according to the exper-
iments. After the initial mixture of chlorine and water,
there was competition among two types of reactions:
· Oxido-reduction with some reducing compounds that
consume a part of the injected chlorine rendering it
unavailable for the disinfection.
· Substitution that forms some compounds of addition
or of substitution mainly with ammonia to form
chloramines, which have a low bactericidal power.
Fig. 1 shows chlorine consumption where only the
results obtained for the concentrations of 6.5 and 13.6
mg/l have been represented. From Fig. 1, it appears that
for all the studied concentrations and regardless of the
time of contact:
· Monochloramines and trichloramines remained very
important as compared to free chlorine and dichlor-
amines.
· Dichloramines appeared as the lowest chlorine form,
with a concentration usually less than 10% of the in-
jected concentration.
· Trichloramines appeared as the most important form
of residual chlorine. Their levels decreased with the
time of contact, to reach their lowest levels by the
end of the experiment (20±30 min).
These results indicated that the reaction of chlorine
with ammoniacal nitrogen of the water was very rapid
and that evolution of chlorine as trichloramines took
place in less than 1 min. This result appears to agree
with those mentioned in the literature by several authors
(Soulard, 1982; Saunier, 1979; Alouini et Seux, 1987;
Adin et al., 1991). According to Adin et al. (1991), based
on kinetic constants of these reactions, the formation of
monochloramines is the most rapid. Reactions of
chloramines destruction are relatively slow and
trichloramines are only gradually hydrolysed following
their appearance in the medium.
86
A. Hassen et al. / Bioresource Technology 72 (2000) 85±93
· The quantity of free chlorine, the main cause of
disinfection, was variable according to the injected
concentration. In contrast, it showed, on average,
a low variation in the course of time for the same
concentration of total chlorine. For instance, with
the high chlorine concentration of 20 mg/l, the level
of free chlorine was nearly constant and of the or-
der of 3.5 mg/l (Result not shown). This result
clearly indicated that after the immediate demand
of water for chlorine, conditioned by the presence
of reducing compounds as well as compounds of
addition or substitution, the free residual chlorine
remained more or less at the same level until the
end of the experiment. It appears particularly that
the content of residual free chlorine in the second-
ary wastewater always exceeded the value of 10%
of the quantity of chlorine injected at the beginning
of the experiment. This result was valid at any time
Fig. 1. Evolution of the content of residual chlorine as a function of the time of contact. Clustred error bar graphs and bars represent standard error
of mean with at least n 4.
A. Hassen et al. / Bioresource Technology 72 (2000) 85±93
87
of contact studied and regardless of the chlorine
concentration applied.
Based on all these results, it may be concluded that
the consumption of chlorine during the process of
wastewater disinfection undergoes two steps:
· A ®rst rapid step corresponding to the consumption
of chlorine following its reaction with the reducing
compounds in water. This step, called `the immediate
satisfaction demand', seemed to be instantaneous.
· A second step, during which residual chlorine was
transformed rapidly into the free and combined chlo-
rine forms. This step concerns particularly the pro-
cess of disinfection since residual chlorine will be
available to exert its antiseptic power. It is clear that
the modelling of the kinetics of chlorine consumption
or disinfection would concern only the second step of
the reaction, which is amenable to measurement.
On the other hand, as has previously been mentioned,
combined chlorine (mono-, di- and trichloramines) ap-
peared as the most important form of residual chlorine.
So, the role of this form of residual chlorine could not be
disregarded compared with free chlorine. In fact, free
chlorine is considered as the best disinfectant, but the
role of combined chlorine in the bacterial reduction is
not negligible (Anonymous, 1989).
3.2. Kinetic study of water disinfection by chlorine
The experimental methodology adopted consisted in
measuring simultaneously residual chlorine contents
and the number of faecal bacteria. For each chlorine
concentration applied, tests were conducted at progres-
sive contact times ranging from 2 to 40 min. The three
retained chlorine concentrations (6.5, 8.6 and 13.6 mg/l)
were tested on wastewater with MPN of 6.02 ´ 10
4
to
6.02 ´ 10
5
of faecal coliforms per 100 ml and 3.16 ´ 10
4
to 5.62 ´ 10
5
of faecal streptococci per 100 ml. All results
are reported in Table 1.
The initial contents of faecal bacteria (N
0
) in waste-
water diered from one experiment to another (results
not shown), which was related to the quality of water
used in each experiment. The speed of faecal bacteria
reduction varied from one concentration to the other.
The higher the initial concentration of chlorine was, the
higher was the reduction of bacteria. For instance, dur-
ing the same contact time of 10 min, a reduction in faecal
streptococci of 1.63 and 3.36 logarithmic units was ob-
tained with the respective initial chlorine concentrations
of 6.5 and 13.6 mg/l. In order to ensure a sucient safety
during wastewater reuse or rejection, the number of
faecal coliforms or streptococci must be less than 10
3
bacteria per 100 ml (White, 1976). In this study, this
objective was reached after contact times of 30, 20 and 10
min following the injection of a concentration of sodium
hypochlorite of, respectively, 6.5, 8.6 and 13.6 mg/l.
3.3. Modelling of the kinetics of disinfection
It is important to note that the approach to the ki-
netics of microorganism inactivation is generally em-
Table 1
Log reductions of faecal coliforms and faecal streptococci as a function of time and chlorine concentration
Chlorine
(mg/l)
Time
(min)
Faecal coliforms
Faecal streptococci
Free
chlorine
(mg/l)
Monochlor-
amines (mg/l)
Dichlor-
amines (mg/l)
Trichlor-
amines (mg/l)
(N/N
0
)
Reduction
a
(N/N
0
)
Reduction
6.5
2
0.0339
1.47
0.1185
0.92
1.62 0.37
3.45 0.38
0.97 0.20
4.10 0.88
5
0.0324
1.49
0.0372
1.43
1.22 0.26
1.77 0.32
1.07 0.48
1.90 0.54
10
0.0234
1.63
0.0234
1.63
1.25 0.15
2.52 0.24
0.47 0.05
2.10 0.40
20
0.0100
2.00
0.0135
1.87
1.35 0.15
2.47 0.85
0.52 0.12
2.40 1.20
30
0.0018
2.75
0.0020
2.69
1.40 0.12
1.92 0.42
0.67 0.14
0.93 0.22
40
0.0009
3.04
0.0005
3.27
1.40 0.12
ND
ND
ND
8.6
2
0.0170
1.76
0.1632
0.78
2.68 0.69
5.62 0.99
1.55 0.60
9.60 0.70
5
0.0174
1.75
0.0724
1.32
1.72 0.28
4.70 1.14
1.78 0.58
6.40 2.50
10
0.0022
2.65
0.0100
2.00
3.30 0.97
4.45 1.02
0.95 0.52
6.46 0.60
20
0.0018
2.74
0.0052
2.28
1.52 0.22
4.87 0.28
0.72 0.23
4.00 1.86
30
0.0005
3.28
0.0007
3.12
2.97 0.70
2.32 1.16
0.60 0.18
0.35 0.04
40
0.0005
3.28
0.0007
4.12
2.52 0.42
ND
ND
ND
13.6
2
0.01000
2.00
0.0575
1.24
2.48 0.34
10.15 0.30
0.60 0.17
12.00 3.20
5
0.00120
2.92
0.0087
2.06
3.15 0.25
7.65 1.04
1.88 1.04
18.00 1.97
10
0.00091
3.04
0.0004
3.36
4.62 1.04
5.80 1.20
0.68 0.35
8.60 1.80
20
0.00038
3.41
0.00004
4.36
3.50 0.28
6.35 0.28
1.62 0.36
8.20 2.30
30
0.00034
3.45
0.00014
3.84
1.22 0.05
7.48 0.58
1.08 0.32
10.30 1.00
40
0.00019
3.70
0.00004
4.36
1.72 0.24
ND
ND
ND
a
Logarithmic units ÿlog (N/N
0
); N: Number of micro-organisms at the instant t; N
0
: Number of micro-organisms at the instant t 0; : Standard
error.
88
A. Hassen et al. / Bioresource Technology 72 (2000) 85±93
pirical, based on laboratory studies, and consequently a
model is only valid in conditions similar to those of its
establishment. So, concentration-time (CT) values ex-
pressed in mg.min/l were calculated by mathematical
integration of the concentration of residual free chlorine
in water versus time. In this paper only results of the
models of Chick-Watson and Collins-Selleck will be
considered as a reference and the whole results obtained
with the dierent concentrations of chlorine will be
combined in order to establish an expression for the
kinetics of disinfection.
3.4. Chick-Watson model
The expression of the kinetics of disinfection ac-
cording to the model of Chick-Watson is given as fol-
lows: dN=dt ÿ KC
n
N with N is the number of
microorganisms, C the concentration of residual free
chlorine, n the coecient of dilution, which is a function
of the quality of water, and K is the coecient trans-
lating the disinfecting power.
Parameters to identify are K and n. By using the in-
tegrated form of the model and by changing to the
logarithm:
ln
ÿ ln
N
N
0
ln K
n ln C
ln T
;
and with the help of a linear regression, we can deter-
mine the values of K and n.
In this way, expressions obtained for the rate of
inactivation were
for faecal coliforms:
N
N
0
exp
ÿ
ÿ 0:1046 C
1:1
T
with a coecient of determination R
2
of 0.12.
for faecal streptococci:
N
N
0
exp
ÿ
ÿ 0:1635 C
0:7
T
with a coecient of determination R
2
of 0.42.
An illustration of these adjustments is given in Fig. 2.
Fig. 2 shows an important variation between the
measured and the calculated values. Consequently, the
model of Chick-Watson was not representative of the
kinetics of disinfection. Therefore, a second approach to
modelling was adopted and an initial microbial reduc-
tion, just at the moment of contact of water with chlo-
rine, was considered. The model becomes in this case:
N=N
0
A exp ÿKC
n
T
with A is the initial reduction
just at the moment of contact of water with chlorine,
The expressions obtained for the rate of reduction
were:
for faecal coliforms:
N
N
0
0:011 exp
ÿ
ÿ 0:0369 C
1:1
T
with a coecient of determination R
2
of 0.63.
for faecal streptococci:
N
N
0
0:0727 exp
ÿ
ÿ 0:1065 C
0:7
T
Fig. 2. Determination of the kinetic of disinfection of faecal coliforms and faecal streptococci according to the model of Chick-Watson. N: Number
of micro-organisms at the instant t; N
0
: Number of micro-organisms at the instant t 0; C: Free chlorine concentration; n parameter n of the
model; T: Time; x C
n
T ; Symbols, measured; lines, calculated.
A. Hassen et al. / Bioresource Technology 72 (2000) 85±93
89
with a coecient of determination R
2
of 0.78. An il-
lustration of these adjustments are given in Fig. 3.
Considering,
X
N
N
0
cal
ÿ
N
N
0
exp
"
#
2
v
u
u
t
;
which is a parameter representative of the deviation
among calculated and measured values, the couples of
values of before (
0
) and after (
m
) modi®cation of the
model (
0
1.2250;
m
0:0393) and (
0
0.9200;
m
0:1319), obtained, respectively for faecal coliforms
and faecal streptococci, indicated that the modi®ed
model of Chick-Watson
N=N
0
A exp ÿKC
n
T
better described the kinetics of bacterial disinfection
than
did
the
original
form
of
the
model
N=N
0
exp ÿKC
n
T
.
This ®nding is also con®rmed by Fig. 3 which indi-
cates that the modi®ed model of Chick-Watson de-
scribes the kinetics of bacterial disinfection when an
initial reduction was considered.
3.5. Model of Collins-Selleck
The same procedure was applied for the model of
Collins-Selleck. Parameters of identi®cation of this
model are s and n with
N
N
0
1 for CT 6 s;
N
N
0
s
CT
n
for CT P s:
By exploiting all experimental points, and by changing
to the logarithmic form (ln N=N
0
n ln s
ÿ n
ln CT
), the values of s and n were determined using a
linear adjustment.
The obtained expressions were:
For faecal coliforms:
N
N
0
1 for CT 6 0:2028;
N
N
0
0:2028
CT
1:2664
for CT P 0:2028 with r
2
0:69:
For faecal streptococci:
N
N
0
1 for CT 6 1:9068;
N
N
0
1:9068
CT
2:276
for CT P 1:9068 with r
2
0:80:
The model of Collins-Selleck has been used by Qualls
and Johnson (1985) and Montgommery (1985) for dif-
ferent kinds of wastewater. In those studies, chlorine
and dioxide of chlorine were used as disinfectants. These
authors reported s 4:06 and n 2.82 for faecal coli-
forms. These values are very dierent from those ob-
tained in our study (s 0:2028 and n 1.266), which
Fig. 3. Determination of the kinetic of inactivation of faecal coliforms and faecal streptococci according to the model of Chick-Watson with an
initial reduction just at the moment of contact of water with chlorine. N: Number of micro-organisms at the instant t; N
0
: Number of micro-or-
ganisms at the instant t 0; C: Free chlorine concentration; n parameter n of the model; T: Time; x C
n
T. Symbols, measured; lines, calculated.
90
A. Hassen et al. / Bioresource Technology 72 (2000) 85±93
may be explained by the quality of the water and the
operating conditions.
Fig. 4 shows rather large discrepancy between the
measured and the theoretical values for faecal coliforms,
indicating that the model of Collins-Selleck was not
representative of the obtained experimental results.
In order to improve the representativeness of this
model, a value m was imposed on the concentration of
residual chlorine, since it appeared clearly from the Figs.
2±4 that the concentration of chlorine in¯uenced the
output of disinfection more than did the time of contact.
Indeed, for a ®xed contact time, the reduction of faecal
coliforms and faecal streptococci was as great as the
concentration of applied chlorine was high. By contrast,
for a ®xed chlorine concentration, bacterial reduction
progressed relatively slowly as a function of the time of
contact.
The model becomes in this case:
N
N
0
1 for CT 6 s;
N
N
0
s
C
m
T
n
for CT P s:
and the parameters to be identi®ed are s, n and m.
By changing to the logarithm:
ln
N
N
0
n ln s
ÿ nm ln C
ÿ n ln T
;
the values of n, m and s were determined using a linear
regression. The expressions obtained were:
For faecal coliforms:
N
N
0
1 for C
1:8
T 6 0:2484;
N
N
0
0:2484
C
1:8
T
1:1775
for C
1:8
T P 0:2484 with r
2
0:74:
For faecal streptococci:
N
N
0
1 for CT 6 1:5783;
N
N
0
1:5783
C
0:68
T
2:3091
for CT P 1:5783 with r
2
0:80:
Fig. 5 indicates, particularly for faecal coliforms, that
the model of Collins-Selleck in the modi®ed form:
N=N
0
s=C
m
T
n
allows a better description of the ki-
netics of decontamination than does its original form:
N=N
0
s=CT
n
:
Indeed, when we calculated the deviation
X
N=N
0
cal
ÿ N=N
0
exp
h
i
2
r
for the two models, the values obtained according to the
modi®ed form of the model of Collins-Selleck were
lower than those corresponding to the original form of
the same model (Table 2). Also, the dierent expressions
obtained according to the kinetic approaches of both
Chick-Watson and Collins-Selleck are reported in
Table 2.
Fig. 4. Determination of the kinetic of disinfection of faecal coliforms and faecal streptococci according to the model of Collins-Selleck. N: Number
of micro-organisms at the instant t; N
0
: Number of micro-organisms at the instant t 0; C: Free chlorine concentration; m parameter m of the
model; T: Time. Symbols, measured; lines, calculated.
A. Hassen et al. / Bioresource Technology 72 (2000) 85±93
91
4. Conclusions
The following conclusions may be drawn from the
present kinetics study:
· Monochloramines and trichloramines appeared as
the most important residual chlorine forms as com-
pared to free chlorine and dichloramines.
· The high levels of trichloramines showed clearly that
the reaction of chlorine with ammoniacal nitrogen is
very fast and that evolution of chlorine into trichlor-
amines is carried out in a time shorter than 1 min.
· The original model of Chick-Watson ln N=N
0
ÿKC
n
T was not able to describe the inactivation ki-
netics of indicator bacteria. Therefore, a modi®ca-
tion, based on the same model but after taking into
consideration an initial inactivation during the con-
tact
of
water
with
chlorine
ln N=N
0
A exp ÿKC
n
T
, described very well the kinetics of
disinfection of faecal coliforms and faecal strep-
tococci.
· The same remarks were valid for the model of Col-
lins-Selleck, which, in modi®ed form, N=N
0
s=C
m
T
n
described the kinetics of disinfection better
than did the original form.
Acknowledgements
This investigation was supported by grants from the
International Foundation for Science (H-2327, IFS,
Sweden) and from the CEE (Avicenne No. 93 AVI 054).
We thank Professor Jean J. Damelincourt, Centre de
Fig. 5. Determination of the kinetic of disinfection of faecal coliforms and faecal streptococci according to the modi®ed model of Collins-Selleck. N:
Number of micro-organisms at the instant t; N
0
: Number of micro-organisms at the instant t 0; C: Free chlorine concentration; m parameter m of
the model; T: Time; x C
m
T . Symbols, measured; lines, calculated.
Table 2
Expressions obtained according to the kinetic models studied
a
Bacteria
Model
Expression
R
2
FC
Chick-Watson
N
N
0
exp ÿ0:1046C T
0.12
1.2250
Chick-Watson modi®ed
N
N
0
0:011 exp ÿ0:0269C
1:1
T
0.63
0.0393
Collins-Selleck
N
N
0
0:2028
C T
ÿ
1:2664
0.69
0.0327
Collins-Selleck modi®ed
N
N
0
0:2484
C
1:8
T
ÿ
1:1775
0.74
0.0248
FS
Chick-Watson
N
N
0
exp ÿ0:1635C
0:7
T
0.42
0.9200
Chick-Watson modi®ed
N
N
0
0:0727 exp ÿ0:106C
0:7
T
0.78
0.1319
Collins-Selleck
N
N
0
1:9068
C T
ÿ
2:276
0.80
0.2227
Collins-Selleck modi®ed
N
N
0
1:5738
C
0:68
T
ÿ
2:3091
0.80
0.1900
a
FC: Faecal coliforms, FS: Faecal streptococci, R
2
: Coecient of determination, : Deviation among calculated and measured values, N: Number of
micro-organisms at the instant t; N
0
: Number of micro-organisms at the instant t 0; C: Free chlorine concentration; T: Time.
92
A. Hassen et al. / Bioresource Technology 72 (2000) 85±93
Physique des Plasmas et Applications de Toulouse,
University Paul Sabatier, France, for his help.
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