-------
Table 3.2 Summary of Values of k-. Used in Different Experiments
Volume, nr
0.166
0.15
0.044
0.022
0.141
8.49
1.87
0.09
1.811
9.48
0.09
0.2
Material
Pyrex tube
Teflon bag
Pyrex jar
Pyrex flask
Pyrex tube
Stainless steel chamber
Aluminum, Pyrex, Teflon and
stainless steel removable surfaces
Pyrex flask
Aluminum chamber, Teflon window
Aluminum chamber, poly vinyl fluoride
wi ndow
Mylar and Teflon bags
Pyrex jar
3_m HA CD n^fh miiltinlo K*of 1 or t i nn
in L/uoc pa in multiple i c i ICI*LIUM
infrared cell
Type of Experiment
F
S
S
S
F
S
S
S
S
F
S
F
S
«J
k^ ks'1
6.33
0.78
2.33
3.67
3.83
4.17
5.0
5.33
6.33
6.67
6.67 (Teflon)
5.0 (Mylar)
8.33
Q 17
y • i i
Reference
Present Investigation
Lilian [44]
Stedman & Niki [57]
Laity [42]
Stephens & Price [58]
Groblicki & Nebel [29]
Jaffe & Smith [36]
Holmes et. al . [34]
Dimitriades [16]
Altshuller et. al . [5]
Altshuller & Cohen [1]
Wilson et. al . [65]
TiiP^dav FfiOl
i ucoviujr L^^J
oo
vo
i
S Static type experiment
F Flow type experiment
-------
-40-
CHAPTER IV
PHOTOCHEMICAL PARTICULATE FORMATION IN SOg-AIR MIXTURES
It has been demonstrated by several investigators that participates
form when a mixture of sulfur dioxide and air is exposed to ultraviolet
light [13,17,24,48,49]. However, the number of particulates formed and
the dependence of this number on the initial sulfur dioxide concentra-
tion and the humidity of the air are not well established. The objec-
tives of the present experiments were, therefore, to measure the number
of particulates formed in sulfur dioxide-air mixtures, and to determine
the relationships between the number of particulates formed, the initial
sulfur dioxide concentration and the humidity of the air.
When a sulfur dioxide-air mixture was exposed in the tunnel to
ultraviolet radiation, the number of particulates formed increased with
time, reaching a maximum value. The number of particulates then re-
mained nearly constant for some time at the maximum value (see Fig. 4.1)
before it decreased due to coagulation, diffusion, and deposition on
the walls. Here we were interested in the maximum number of particulates
formed in the mixture. In order to determine the exposure time required
to reach the maximum number of particulates, the number of nuclei and
aerosols were measured at sampling station #1 at different flowrates
3-1 3-1
ranging from 46 cm s to 184 cm s . Since sampling station #1 was
23 cm from the entrance to the tunnel, the exposure times corresponding
to these flowrates ranged from 90 s to 22.7 s. The experiments were
repeated for different sulfur dioxide concentrations and different
humidities (Fig. 4.1). There were no measurable amounts of aerosols in
any of the experiments. There were, however, nuclei formed in the mix-
-------
10
UJ
_i
o
D
UJ
m
I I
-41-
I I
I I I
.Oppm, 50%
0.5ppm,50%
0.2ppm,50%
0.2ppm,25%
Initial S02
Concentration, ppm
Relative Humidity, %
1111 I I
I
0 10 20 30 40 50 60 70 80 90 100
IRRADIATION TIME, sec
Fiq. 4.1. Number of nuclei formed as a function of irradiation
time in sulfur dioxide-air mixtures
-------
-42-
ture. The amount of nuclei formed depended on the exposure time, as
shown in Fig. 4.1. The time required to reach the maximum number of
nuclei increased as both the initial sulfur dioxide concentration and
the humidity in the air decreased.
The lowest initial sulfur dioxide concentration used in the ex-
periment was 0.2 ppm, and the lowest relative humidity was 25%. For
this condition, the tests showed that the time required to form the
maximum number of nuclei was about 90 s. Therefore, to ensure that the
maximum number of nuclei formed was achieved in all the tests, the 90 s
exposure time was used throughout the subsequent experiments. The
number of nuclei per cm given below correspond to the maximum value
obtained in the manner just discussed.
The effects of the initial sulfur dioxide concentration and the
relative humidity on the nuclei formation were measured for five differ-
ent sulfur dioxide concentrations ([S09] = 0.2, 0.3, 0.5, 0.7, and 1 ppir),
£ o
and four different relative humidities ([^]Q = 25, 50, 75, and 100%).
The data are presented in Fig. 4.2, and indicats that the number of nuclei
formed vary linearly with the initial sulfur dioxide concentration in
the air.
The results in Fig. 4.2 were cross plotted in order to obtain dir-
ectly the variation of the number of nuclei with relative humidity. As
shown in Fig. 4.3, the number of nuclei varies with the square of the
relative humidity. Thus, according to the results of Fig. 4.2 and 4.3,
the maximum number of nuclei formed may be expressed as
N = ACS0][ (4.!)
-------
-43-
5x10*
u
•»
Ul
CJ
u.
o
QC
Id
00
I I
oDATA
— FIT TO DATA
(Slope =1)
Relative
Humidity
25%
i i i I
I I
I
O.I 1.0 3.0
INITIAL SULFUR DIOXIDE CONCENTRATION, ppm
Fig. 4.2. number of nuclei formed in sulfur dioxide-air mixtures
-------
-44-
5x10'
UJ
_l
(J
u.
o
a:
UJ
CD
i i i i
i i i i i i i i
Initial S02
Concentration
i i
0.75
0.5
0.25 ppm
I I
10 100
RELATIVE HUMIDITY, %
Fia. 4.3. Number of nuclei formed in sulfur dioxide-air mixtures
-------
-45-
where A is a constant. In order to test further the validity of eq. (4.1)
and to obtain the value of A, all the data were compiled on an N versus
^Fl^' 4-4). The data correlated well with the above
expression for A = 3.33x10 no. cm ppm . Thus, the maximum number of
nuclei is given by the expression
where [S02]Q is in ppm and []_ is in percent.
It should be noted that eq. (4.2) was determined from the data
obtained under specific experimental conditions. As the light inten-
sity inside the tunnel was not varied during these experiments, eq. (4.2)
does not indicate the effect of the light intensity on nuclei production.
However, Groblicki and Nebel [29] have found that the maximum amount of
aerosols produced in a propylene-nitric oxide-sulfur dioxide-air mixture
was not affected by a change in the light intensity. The light intensity
merely affected the time required to produce the maximum number of nuclei.
It is expected, therefore, that a change in the light intensity would
not alter eq. (4.2), but would change the irradiation time required to
produce the maximum number of nuclei.
It would be of interest now to compare the present data with re-
sults of other investigations. Results of direct measurements of the
number of nuclei formed in sulfur dioxide-air mixtures were reported in
references [13,14,40,48,49]. The conditions of these experiments are
listed in Table 4.1. The present results can be compared with those
obtained by Renzetti and Doyle [49] and Kocmond et. al . [40]. The
number of nuclei obtained by Renzetti and Doyle for 0.24 ppm sulfur
45 -3
dioxide at 50% relative humidity ranged from 5x10 to 8x10 nuclei cm .
-------
-46-
io7cr
'S 6
. 10
UJ
Li.
O
cr
LU 5
£ 10
ICT
I I I I I 11 I I I I I I I I
FIT TO DATA
N = 3-33xl06[S02]0[*]|
i i i i i i 111 i i i i i i i i
0.01
O.I
1.0 2.0
Fig. 4.4. Number of nuclei formed in sulfur dioxide-air mixtures.
Correlation of the data for various initial sulfur
dioxide concentrations [SO^j and initial relative
humidities fl 0 °
-------
Table 4.1 Summary of Experimental Conditions Used by Different Investigators
Reference
Volume, m
3
Experimental Apparatus
Material Light Source
Type
Cox and Penkett [13]
Cox [14]
Gerhard and Johnstone [24]
Kocmond et. al. [40]
Quon et. al . [48]
Renzetti and Doyle [49]
0.216
0.005
0.008
0.25
1.7
600
0.014
0.05
Aluminum Chamber
Pyrex Flask
Lucite Chamber
Teflon Bags
Steel Chamber
Saran Bags
Pyrex Flask
Sunlight
Mercury Lamp
Sun Lamp
Fluorescent Lamps
Fluorescent Lamps
Fluorescent Lamps
Mercury Lamps
S
S
S
S
S
S
F
S Static type experiment
F Flow type experiment
-------
-48-
For this sulfur dioxide concentration and relative humidity, the number
of nuclei calculated from eq. (4.2) is 2x10 nuclei cm" . Hence, the
value obtained in the present study lies within the spread of Renzetti
and Doyle's data. The amounts of nuclei measured by Kocmond et. al. were
two to four times higher than the values obtained in this investigation.
The reason for this is unclear. The discrepancy between the two re-
sults might possibly be due to the fact that the present data were ob-
tained from flow type experiments while Kocmond et. al. performed their
measurements in static type experiments.
The results of Cox and Penkett [13], Quon et. al. [48], and Cox [14]
cannot be compared with the present data. Cox and Penkett did not re-
port the humidity in their results; Quon et. al. performed measurements
before the maximum amounts of nuclei were produced. The data obtained by
Cox were obtained for much higher initial sulfur dioxide concentrations
(5 to 1000 ppm) than those used in the present study (0.2 to 1 ppm).
Some indirect comparisons with other existing data can be made to
confirm the present results. Gerhard and Johnstone [24] performed static
type experiments in a 0.008 m Lucite chamber irradiated by a sun lamp,
and collected and measured the amount of sulfuric acid formed in sulfur
dioxide-air mixtures. If it is assumed that most of the nuclei formed
in the present study were composed of sulfuric acid, then the number of
nuclei should be proportional to the amount of sulfuric acid collected
by Gerhard and Johnstone. The variation of sulfuric acid with the ini-
tial sulfur dioxide concentration, as reported in reference [24], is
presented in Fig. 4.5. Similar to the number of nuclei formed (see
eq. 4.2), the amount of sulfuric acid collected varies linearly with the
initial sulfur dioxide concentration.
-------
-49-
10
I
E |
o»
E
0.5
o
(T
o.2
O.I
o DATA
— FIT TO DATA (Slope = I)
Irradiation Time I20min
0.05
2 5 10 20 50
INITIAL SULFUR DIOXIDE CONCENTRATION, ppm
Fie. 4.3. Formation of iulfuric acid in sulfur dioxide-air mixtures.
Ucta fron, Gernard and Johnstone [24]
-------
-50-
Renzetti and Doyle [49] measured the amount of light scattered from
a sulfur dioxide-air mixture undergoing photochemical reaction. Their
data are reproduced in Fig. 4.6. Although there is considerable spread
in Renzetti and Doyle's data, the amount of light scattered (which is
proportional to the number of nuclei formed) appears to vary linearly
with the initial sulfur dioxide concentration, further supporting the
validity of eq. (4.2).
The information available on the effect of the relative humidity on
the number of nuclei formed is conflicting. Renzetti and Doy'e observed
that the amount of light scattered increased with relative humidity.
Cox [14] also reported that the number of nuclei formed increased with
humidity. Katz and Gale [39] observed an increase in the conversion
rate of sulfur dioxide to sulfur trioxide (or su'lfuric acid) as the
humidity was increased. These results thus support the present data
which show an increase in nucleation rate as well as the number of nuclei
formed with relative humidity. In contrast to these results, Gerhard
and Johnstone [24] found that the sulfur dioxide conversion rate did not
change with relative humidity. The results of Quon et. al. [48] indicated
that the number of nuclei formed was independent of relative humidity.
The data obtained by Kocmond et. al. [40] did not show any dependence
of the conversion rate of sulfur dioxide on relative humidity. However,
Kocmond et. al. found that the rate of change of the total volume of
the aerosols depended on relative humidity. The effect of humidity on
the nuclei formation in sulfur dioxide-air mixtures would thus merit
further studies.
-------
-01-
100
o:
<
cr
H
CD
o 10
a:
UJ
u
X
Ij
o DATA
FIT TO DATA (Slope«I)
I 1 I I I I I
0.2 1.0 10
INITIAL SULFUR DIOXIDE CONCENTRATION, ppm
Fia. 4.6. Amount of light scattered from sulfur dioxide-air
mixtures. Data from Renzetti and Doyle 1.49]
-------
-52-
CHAPTER V
OZONE AND PARTICULATE" FORMATION IN CgH10-N02-AIR MIXTURES
Photochemical reactions in a cyclohexene-nitrogen dioxide-air mix-
ture depend on several parameters, including a) the initial concentra-
tion of cyclohexene, b) the initial concentration of nitrogen dioxide,
c) the ultraviolet light intensity, and d) the length of time the mix-
ture is irradiated. The major goal of this study was to evaluate the
first two of these effects, namely, the influence of the initial con-
centrations of cyc'ohexene and nitrogen dioxide on the amounts of ozone,
condensation nuclei and aerosols formed. Therefore, throughout the tests,
the light intensity was kept at the constant value of k-,=6.33 ks ,
o ]
and the flowrate was maintained at 46 cm s . All the results dis-
cussed below apply to these conditions.
One might also expect the relative humidity to affect the formation
of ozone, nuclei and aerosols. Bufalini and Altshuller [10] and Stephens
and Price [58] have found, however, that the amount of ozone formed was
not influenced by the relative humidity. The effects of the humidity on
nuclei and aerosol formation have not yet been established. In the pre-
sent study, a relative humidity of 50% was used. According to the re-
sults of Bufalini and Altshuller and of Stepehns and Price, the use of
a constant relative humidity would not affect the amount of ozone formed.
The relative humidity might influence the nuclei and aerosol formation
but this effect was not explored here.
The initial concentrations of cyclohexene and nitrogen dioxide were
varied in a systematic manner. Initially, five concentrations of cyclo-
hexene (0.5, 1, 2, 3, and 5 ppm) and five concentrations of nitrogen
-------
-53-
dioxide (0.6, 1, 2, 3, and 5 ppm) were permutated to provide twenty-five
different mixture composition combinations. As the measurements progressed,
it became evident that additional mixture compositions were needed to pro-
vide more information in certain areas of particular interest. Hence,
measurements were also made with additional mixtures. A complete set of
the experimental conditions and of the data obtained are given in Appen-
dix D. The data from a typical series of tests are presented in Fig.
5.1. The results in this figure show the amounts of ozone, nuclei and
aerosols formed along the irradiation tunnel. Since the flowrate in the
tunnel was constant, the horizontal axis in Fig. 5.1 represents both the
distance along the tunnel and the length of time the mixture has been
irradiated.
As can be seen from Fig. 5.1, the amounts of ozone, nuclei and aero-
sols first increase, reach a peak and then decrease along the tunnel.
Here, we shall be concerned with the "peaks" which represent the maximum
amounts of ozone, nuclei and aerosols formed. Our interest in the maxi-
mum values is motivated by the general concern about the maximum amounts
of ozone, nuclei and aerosols formed in the atmosphere due to photochem-
ical reactions. In all subsequent discussions, the term "amount" was
used to denote the peak values, which were determined by plotting all the
data in a manner similar to those shown in Fig. 5.1, and by estimating
the peaks from these plots. The results thus obtained are tabulated in
Appendix E.
5.1 The Effects of Mixture Composition on Ozone Formation
The typical behavior of ozone along the tunnel is illustrated in
Fi;. 5.1. Although this figure represents only one set of data, similar
-------
TIME, mmult
10 ZO 30 40
90
TIME, minute
IP 20 30 4O 50 60 |08
O 2 4 6 8
DISTANCE ALONG TUNNEL. m
O 2 4 6 6
DISTANCE ALONG TUNNEL, m
(O
Fig. b.l. Typical variations of ozone, nuclei, and aerosol contents along the tunnel in
cyclohexene-nitrogen dioxide-air mixtures. Initial nitrogen dioxide concentration:
3 ppm. Relative humidity: 50%. Top axis represents irradiation time
-------
-55-
trends were observed with other initial concentrations of cyclohexene and
nitrogen idoxide. For all mixture combinations, the amount of ozone along
the tunnel first increased, reached a peak and then decreased. In order
to describe these results quantitatively, it would be necessary to know
in detail the reaction mechanism in the mixture and the corresponding re-
action equations. To date, many different sets of reaction equations have
been proposed [15,19,32,46,61,62], but the validity and accuracy of the
various sets are still of considerable debate. Nevertheless, it is
possible to explain, at least qualitatively, the observed behavior of the
ozone formation by the relatively simple kinetic scheme introduced by
Eschenroeder and Martinez [19]. These investigators suggested twelve
reactions for describing the photochemical processes occurring in hydro-
carbon-nitrogen oxides-air mixtures. The reaction equations proposed by
Eschenroeder and Martinez are listed in Table 5.1 (eqs. 5.1-5.12).
According to eqs. (5.1) and (5.2), ozone and nitric oxide are formed
by the photodissociation of nitrogen dioxide. The ozone reacts with the
nitric oxide and the hydrocarbon (eqs. 5.3 and 5.10). These reactions
tend to deplete the ozone. However, simultaneously, the nitric oxide
reacts with various free radicals(denoted by R02, eq. 5.11), and this re-
action proceeds at a much faster rate than the reactions of ozone with
the nitric oxide and the hydrocarbon. The net result is an excess amount
of ozone in the system; hence, the observed increase in the ozone con-
tent in the first part of the tunnel. As the photochemical reaction pro-
gresses, the nitrogen dioxide is depleted by reacting with the free
radicals (eqs. 5.4 and 5.12). As the amount of nitrogen dioxide dim-
inishes, so does the amount of ozone formed resulting in an eventual de-
crease in the ozone content along the tunnel.
-------
-56-
Table 5.1 The Reaction Mechanism Proposed by
Eschenroeder and Martinez [19]
OH
1MU- T \\f " HVJ T \J
+ n a. M > n a. M
U_ f 1"! - U— T I'l
_ + WU •*•••• *• NU- •+ U_
k4
\tn i jjri ^ t~ ouMn
wu T wu_ ,. ;i ^ zin«u_
?. H20 2
HMO _L v> ±y - — — — *• ni i • 4- MO
iiiiU— T n " • uji T ri\j
k?
:. J. tin -k M -'- - *• HMO 4- M
ka
ko
nu. -L. 11^" 7 ^- •u /nrv ^
Ull- T Ho ^ Dp^«*J_;
• T no ^ u»j^inj_y
R02 + NO ^> N02 + d(OH)
DA -L. MA _Jl£_» M^T>AM^
^.A;
(5.2)
(5.3)
(5.4)
(5.5)
(5.6)
(5.7)
(5.8)
(5.9)
(5.10)
(5.11)
fc 10\
-------
-57-
It is now possible to evaluate the maximum amount (referred to sim-
ply as the "amount") of ozone produced for different initial concentra-
tions of cyclohexene ([C5H]Q]0) and nitrogen dioxide ([N02]0)« The amount
of ozone produced as a function of the initial concentrations of cyclo-
hexene and nitrogen dioxide is shown in Figs. 5.2 and 5.3. For a given
initial nitrogen dioxide concentration, the amount of ozone first in-
creased with increasing cyclohexene concentration. An increase in the
cyclohexene concentration beyond a certain value resulted in a decrease
in the amount of ozone (Fig. 5.2). Similar behavior was observed when
the initial cyclohexene concentration was kept constant and the concen-
tration of nitrogen dioxide was varied (Fig. 5.3). Such an interrelation
between the amount of ozone formed and the initial concentrations of the
hydrocarbon and the nitrogen oxides has also been noticed by other in-
vestigators [2,5,6,7,25,41,50], and plausible qualitative explanations
of these phenomena have been offered in references [25,50,55]. A brief
explanation of these phenomena may be given by referring again to eqs.
(5.1)-(5.12). First, we consider the case when the initial nitrogen
dioxide concentration is kept constant and the initial concentration of
cyclohexene is varied (Fig. 5.2). As discussed above, the photodissocia-
tion of nitrogen dioxide yields ozone and nitric oxide (eqs. 5.1 and 5.2).
Ozone is depleted by reactions with the nitric oxide and the hydrocarbon
(eqs. 5.3 and 5.10). In addition to reacting with ozone, the nitric
oxide also reacts with the free radicals (eq. 5.11), and this reaction
proceeds faster than the reactions depleting ozone. Thus, an increase in
the hydrocarbon concentration results in a decrease in the amount of nit-
ric oxide available for the depletion of ozone. Consequently, the amount
-------
5.0
E
a.
o.
._• 1.0
UJ
o
o
o
IM
O
I I
I I I I
I I 1 ITT T
Initial N02
Concentration
5ppm
0.1
0.3
Fig. 5.
I I I ! I I I
I I I I I I I
I I I I I I I
1.0 10 100
INITIAL CYCLOHEXENE CONCENTRATION (C6H|0]0 , ppm
Ozone content in cyclohexene-nitrogen dioxide-air mixtures. Relative
humidity: 50%. Light intensity Iq = 6.33 ks-1
-------
-59-
5.0
i
1.0
o
o
UJ
z
o
N
O
O.I
I I I I
T I I I I i I
2ppm
0 ^ Initial C6HIO
Concentration
i i i i i i
"0 1.0 10
INITIAL NITROGEN DIOXIDE CONC. [N02]Q , ppm
20
Fig. b.3. Ozone content in cyclohexene-nitrogen dioxide-air mixtures.
Relative humidity: bOi. Light intensity k] = 6.33 ks'l
-------
-60-
of ozone formed increases with initial increase in the hydrocarbon concen-
tration. However, once there is a sufficient amount of hydrocarbon pre-
sent in the mixture to react with all the available nitric oxide, then
any additional hydrocarbon will react with ozone. Under these condi-
tions, an increase in the hydrocarbon concentration results in a decrease
in the ozone content.
The formation of ozone can be explained similarly when the initial
concentration of the hydrocarbon is kept constant while the initial con-
centration of nitrogen dioxide is varied (Fig. 5.3). Ar the nitrogen
dioxide concentration is increased, both the amounts of ozone and nitric
oxide are Increased (eqs. 5.1 and 5.2). Because the reaction of nitric
oxide with- the free radicals (eq. 5.11) proceeds at a faster rate than
the reactions depleting ozone (eqs. 5.3 and 5.10), ozone accumulates in
the mixture. This explains the increase in the ozone content with the
initial increase in the nitrogen dioxide concentration. When the ini-
tial nitrogen dioxide concentration is increased tc the point where all
the hydrocarbon present in the mixture reacts with all the nitric oxide
produced by the nitrogen dioxide, then any further increase in the nit-
rogen dioxide concentration provides some excess nitric oxide to react
with the ozone. More ozone is depleted due to this reaction than is
formed due to the increase in the nitrogen dioxide concentration. Hence,
the ozone content is reduced when the nitrogen dioxide concentration is
increased.
The results presented in Fig. 5.2 and 5.3 would only apply to the
formation of ozone in cyclohexene-nitrogen dioxide-air mixtures. An
attempt is now made to generalize these results so as to gain additional
information regarding the ozone production by other types of hydrocarbons.
-------
-61-
It is recognized [15,46,55] that, in a reaction described by N reaction
equations, the amount of ozone formed depends on: a) the initial con-
centration of nitrogen dioxide [N02] , b) the initial concentration of
the hydrocarbon [HC] , and c) the rate constants k.(i=l to N), i.e.
fo3> f(fN02!0, rHC]0, kj_ , k2 .....kj, ) (5.13)
The terms in eq. (5.13) may be nondimensionalized, and eq. (5.13) may be
expressed as
* * *
(5.14)
where k-j , k2 ...... k^_, represent N-l dimensionless groups formed from the
different rate constants, and [63] is some characteristic ozone concen-
tration in the mixture. To select [03lc, it is recalled that in a nitro-
gen dioxide-air mixture the amount of ozone formed is (Section III)
(3.10)
In most practical situations, [Os]-.. is negligible compared to [N02]0>
in which case eq. (3.10) becomes
l°3JPss - ^l"Vo (5.15)
Representing [03] by this expression, eq. (5.14) can be rewritten as
k*_< ) (5-16)
V O
For a hydrocarbon^nitrogen dioxide-air mixture which contains just one
type of hydrocarbon, the values of the k^s are constants, and
\lIT [N02L depends only on the ratio of the initial concentrations of
the hydrocarbon and the nitrogen dioxide, i.e.,
-------
-62-
Coj
/JL
V k3
Equation (5.17) relates the amount of ozone formed to the initial
nitrogen dioxide concentration and the initial concentration ratio.
In many previous experiments, instead of nitrogen dioxide, nitric
oxide was used in the initial gas-air mixture. With nitric oxide in the
initial gas-air mixture, the production of ozone occurred at a later time
than with nitrogen dioxide, but the maximum amount of oznne generated was
found to be the sar.e for both nitric oxide and nitrogen dioxide. It is
noted, further, that some investigators reported measurements of "oxidant"
instead of ozone. The term oxidant designates certain pollutants formed
during the photochemical reaction. These pollutants are so named be-
cause they will oxidize some specific chemical reagents (e.g. a solution
of neutral-phosphate-buffered potassium iodide) which are not readily
oxidized by oxygen [69]. Although the oxidant measured includes other
chemical compounds as well as ozone (e.g. peroxyacyl nitrates), ozone
is generally the largest amount (by volume) present in the measured oxi-
dant, and the data reported for ozone and oxidant were usually very sim-
ilar [8,69].
For the reasons outlined above, results obtained with nitrogen
dioxide or with nitric oxide, and results reported in terms of ozone or
oxidant may be discussed together, and compared directly.
According to eq. (5.17), for a given type of hydrocarbon and fixed
initial concentrations of the hydrocarbon and the nitrogen dioxide, the
amount of ozone varies directly with the square root of k,
(5-18)
-------
-63-
It is recalled from Section III that k, is proportional to the light in-
tensity (eq. 3.1). Hence, the ozone content varies with the square root
of the light intensity. Harton and Bolze [31], Altshuller et. al. [5],
and Groblicki and Nebel [29] measured the effect of light intensity on
the amount of ozone (or oxidant) formed in various hydrocarbon-nitrogen
oxide-air mixtures. The results reported by these investigators also
confirm that the amount of ozone (or oxidant) varies with the square root
of the light intensity. The computer solution obtained by Niki et. al.
[46] for the photochemical reactions in a propylene-nitrogen oxide-air
mixture also confirms the validity of eq. (5.18).
Equation (5.17) also shows that, for a given type of hydrocarbon,
Hrj
the data points should fall on a common curve on a [Q^]/ / jj—• [N02]Q
versus [HCL/[N09] plot. Such a plot for the present data is given in
0 ' o
Fig. 5.4 . it is seen that, within experimental error, the data follows
a single curve. This lends support to the validity of eq. (5.17). In
order to test further the validity of this equation, the data reported
by other investigators have been plotted in a graph similar to Fig. 5.4.
These results, presented in Fig. 5.5, were for eight different types of
hydrocarbons. The data given in Fig. 5.5 were all obtained in chambers
irradiated artificially by either fluorescent lights [2,5,6,41,58] or by
mercury lamps [50]. The measurements were made either in a static type
chamber [2,6,41,50] or in a flow type tube [5,58]. Scott [50] irradiated
3-methylheptane-nitrogen dioxide-air mixtures in a long path infrared ab-
sorption cell. Altshuller and Cohen [2] tested ethylene-nitrie oxide-
air mixtures in Teflon bags. Altshuller et. al. [6] and Kopczynski et.
al. [41] used the same aluminum irradiation chamber and tested n-butane-
nitric oxide-air mixtures [6] and aldehyde-nitric oxide-air mixtures [41].
-------
10
8
-I 1*1
I I I I I I I
i i i i i i i
I II I I I I I |
o DATA
FIT TO DATA
i ill
I I i
0.2 1.0 10
INITIAL CONCENTRATION RATIO, "[ C6Hlo]o/[ N0z]o
Fig. b.4. Normalized ozone content in cyclohexene-nitrogon dioxide-air mixtures.
Relative humidity: 50%. Light intensity kj = 6.33 ks'1
50
-------
-6b-
2
0
10
^ 5
X
O
-I 10
H«
0
10
0
10
O.I
Fig. b.b.
fo I
(a)
(b)
(c)
(d)
1.0
10
100
10
0
10
0
10
(e)
(g)
10
100
INITIAL CONCENTRATION RATIO, [HC]0/tN°x]o
Normalized ozone content in hydrocarbon-nitrogen oxides-
air mixtures, (a) Ethylene, Altshuller and Cohen [2].
(b) 3-methylheptane, Scott [50]. (c) Cis-2-butene,
Stephens and Price [58]. (d) Propionaldehyde, Kopczynski,
et. al. [41]. (e) Acetaldehyde, Kopczynski, et. al. [41].
(f) Propylene, Altshuller et. al. [5]. (g) Formaldehyde,
Kopczynski, et. al. [41]. (h) N-butane, Altshuller et. al.
[6]
-------
-66-
Flow type experiments were performed by Altshuller et. al. [5] for propy-
lene-nitric oxide-air mixtures in an aluminum chamber, and by Stephens
and Price [58] for cis-2-butene-nitric oxide-air mixtures in a Pyrex
tube. Generally, fewer data points were taken in the previous experi-
ments than in the present study. Nevertheless, the previous data, sum-
marized in Fig. 5.5 also indicate that the data can be correlated ac-
cording to eq. (5.17).
In addition to the investigations quoted above, ozone (or oxidant)
measurements were reported in [7,10,25,31,50,51]. The results of these
investigations [7/0,25,31,50,51] could not be included in Fig. 5.5 be-
cause either there was not enough information given to plot the graph
[10,31], or the amount of ozone (or oxidant) measured was not given
directly [7,25,50,51]. The amount of ozone (or oxidant) was measured by
Bufalini and Altshuller [10] and by Harton and Bolze [31]. However,
Bufalini and Altshuller reported the nitrogen dioxide dosage instead of
the initial concentration of nitrogen dioxide. Harton and Bolze did not
report the maximum amount of the oxidant generated. The amount of ozone
(or oxidant) was reported indirectly by Altshuller et. al. [7], Glasson
and Tuesday [25], Haagen-Smit [50], and by Romanovsky et. al. [51].
Altshuller et. al. reported the oxidant dosage, Glasson and Tuesday the
initial formation rate of ozone. Haagen-Smit measured the crack depths
of rubber strips. Romanovsky et. al. presented their results in the
form of ozone contour maps.
An attempt can now be made to estimate a) the maximum possible
amount of ozone formed in a hydrocarbon-nitrogen dioxide-air mixture,
and b) the concentration ratio at which this maximum occurs. Let the
-------
-67-
ki
- [N02]Q versus the concentration ratio curve be
maximum of the
M, and the concentration ratio corresponding to this point be R (see
Fig. 5.4 and 5.5), i.e.
Co.]
'max
M =
and
R s.
2J0
(5.19)
at f°31
(5.20)
In principle, the values of M and R can be obtained from the appropriate
reaction equations (e.g. eqs. 5.1-5.12). In practice, this is a formid-
able, if not an impossible task owing to the complexity of the equations.
The data summarized here, however, provide some information about M and
R. Equations (5.19) and (5.20) may be rearranged in the form
(5.21)
(5-22)
M
The maximum amounts of ozone formed ([03!,,,) in Figs. 5.2 and 5.3
met A
are represented by the envelopes of the ozone versus cyclohexene and the
ozone versus nitrogen dioxide curves (dotted lines in Figs. 5.2 and 5.3).
From Figs. 5.2 and 5.3, the equations of these curves (envelopes) may be
determined, and are
(5.23)
(5.24)
-------
-68-
1/2
Comparing eqs. (5.21) and (5.23), and noting that/k^/k-j' = 0.122 ppm
(Section III), the following expression is obtained
M-5.3/T (5.25)
Tne above relationship between M and R was derived entirely from the
present data using cyclohexene. In order to estimate the relationship
between M and R for other types of hydrocarbons, M was plotted as a func-
tion of R for the nine different hydrocarbons for which values of M and
R could be estimated (Figs. 5.4 and 5.5). The results, given in Fig. 5.6,
show that in all c
-------
70
x
O
10
>
I i i i i
I I TIT
I I I I I
I I I I I I I
I
er>
0.4
I.O
R =
[HC](
10
30
Fig. 5.6. Maximum amount of ozone M as a function of the concentration ratio R
at which M occurs. 0 cyclohexene, present study; o ethylene, Altshullpr
and Cohen [2]; a 3-methylheptane, Scott [50]; t> Cis-2-butene, Stephens
and Price [58]; 7 propionaldehyde, Kopczynski et. al. [41]; < acetaldehyde,
Kopczynski et. al. [41]; * propylene, Altshuller et. al. [5]; A formaldehyde,
Kopczynski et. al. [41]; O n-butane, Altshuller et. al. f6l
-------
-70-
CM
Fig. 5.7.
INITIAL HYDROCARBON CONG. [HC]O , ppm
Maximum amount of ozone as a function of the initial
hydrocarbon concentration. present result;
«» ethylene, Altshuller and Cohen [2];
-------
-71-
were also included. These atmospheric measurements were reported by the
U.S. Department of Health, Education and Welfare [70] and gave the oxi-
dant content as a function of non-methane hydrocarbon concentration in
ppm C. In order to include the atmospheric data in Fig. 5.7, an average
carbon number of five was assumed for these non-methane hydrocarbon mix-
tures and k, was taken to be 8 ks (see Table 3.1). It is interesting
to note that eq. (5.27), which was based on the data obtained from mix-
tures containing only one type of hydrocarbon, also yields reasonable
results for mixtures containing several types of hydrocarbons such as
those present in the atmosphere.
The maximum amount of ozone that can be formed for a- given concen-
tration of rrftrogen dioxide depends on M (eq. 5.22). Since it is easier
to determine.R than M, eq. (5.22) is written as (see eqs. 5.22 and 5.25)
8.13 /k/TyrN0l (5.28)
or
fo.l
'max
,r w J2'0 (5.29)
Therefore, the maximum amount of ozone depends on R which is different
for different types of hydrocarbons. However, the ratio [03]max//k-|R
is independent of the type of the hydrocarbon and depends only on the
initial concentration of the nitrogen dioxide. Equation (5.29) is pre-
sented in Fig. 5.8 together with the available data deduced from Figs.
5.4 and 5.5. It is seen that there is reasonable agreement between the
curve given by eq. (5.29) and the existing data.
The foregoing discussion illustrated that in order to determine the
maximum amounts of ozone produced in a given hydrocarbon-nitrogen dioxide-
-------
-72-
-------
-73-
air mixture, the values of~M and R for that hydrocarbon are needed. It
would be desirable, therefore, to be able to estimate the values of M and
R for different types of hydrocarbons. The values of M and R depend on
all the rate constants in a complex manner. An inspection of the reac-
tion equations (eqs. 5.1 to 5.12), indicated that the rate constants which
would most likely influence M and R were kg, kg, and k1Q. In addition,
M and R might also be related to the conversion rate, kNQ, of nitric oxide
to nitrogen dioxide [1,3,4,26,33]. Therefore, an attempt was made to
correlate R with each of these rate constants. To facilitate this cor-
relation, the suggestion of Glasson and Tuesday [26] was followed and a
A
dimensionless relative rate constant called "reactivity", k, is defined
as
*
k =
(5.30)
where ^CHK 1S tne rate constant of propylene. The results, presented
in Table 5.2 show only weak correlations between R and the reactivities
A A A A
kg, k,Q, and kNQ, but indicate a strong correlation between R and kg.
A
Therefore, a graph of R versus kg was plotted (Fig. 5.9), and the follow-
A
ing approximate relationship between R and kg was obtained
R = FIT (5-31)
/ K9
The value of R can be found from this expression for any given hydrocar-
bon. This R value may then be used in eqs. (5.26) and (5.28) to calcu-
late the maximum amount of ozone formed.
Finally, in Fig. 5.10, an ozone contour map is presented on the
basis of the cyclohexene data. The general features of this map were
similar to those reported for propylene-nitrie oxide-air mixtures [51]
-------
-74-
Table 5.2 Reactivities of Different Hydrocarbons (k = k/kC3Hg)
Hydrocarbon
Initial
Reactivity
n-Butane
Formal dehyde
Propylene
Acetal dehyde
Propional dehyde
Cycl ohexene
Cis-2-Butene
3-Methyl heptane
Ethyl ene
Concentration
Ratio, Ra
10.5
8
5
4
3.5
2.4
2.1
2.0
1.3, 17f
A
k8
0.008C
0.05C
1.0
0.15C
0.2C
3.6e
0.08e
0.2C
— - - -^
A
kg
0.24C
0.9C
1.0
0.9C
1.8C
0.1C
/y . A
I, b i,
K10 KNO
0.2C
.... 0.7C
1.0 1.0
— - 0.7C
2.0C
5.2 1.0d
2.0 2.0d
— - 0.27d
0.33 0.3C
a
b
c
d
e
f
From Figs. 5.4 and 5.5
From Table 46 reference [43]
From reference [46]
From reference [26]
From reference [54]
From reference [25]
-------
30
10
o
x
O
I I I I I
1.0
0.4
T 1—J I I I I
FIT TO DATA
R=5.l /
I I I I I
_LL
on
t
O.I
1.0
4.0
REACTIVITY BASED ON HYDROXYL RATE CONSTANT,
9
Fig. 5.9. Variation ij the concentration ratio R (at which the ozone content is maximum) with the
reactivity kg. <* ethylene, Altshuller and Cohen [2]; O n-butane, Altshuller et. al. [6];
A formaldehyde, Kopczynski et. al. [41]; x propylene, Altshuller et. al. [5];
« acetaldehyde, Kopczynski et. al. [41]; 7 propionaldehyde, Kopczynski, et. al. [41]
-------
E
S 10
-------
-77-
and for mixtures of non-methane hydrocarbons in the atmosphere [70] (Figs,
5.10 and 5.11). There was one notable difference between the maps ob-
tained with one single hydrocarbon (e.g. cyclohexene or propylene) and
with mixtures of hydrocarbons. When only a single hydrocarbon was used,
each curve had reasonably well defined "knolls", which could be connected
by a straight line. For the atmospheric data, a straight line could not
be drawn through the knolls either because the measurements were inac-
curate, or because the many different types of hydrocarbons in the at-
mosphere distorted the slope of the curve.
5.2 The Effects of Mixture Composition on Particulate Formation
The nuclei and the aerosol contents in the tunnel are given in
Fig. 5.1 for s typical set of initial cyclohexene and nitrogen dioxide
concentrations. For other initial concentrations of nitrogen dioxide and
cyclohexene, the number distribution of the nuclei and the aerosols along
the tunnel exhibited similar trends, i.e. the numbers first increased,
reached maximum values and then decreased slightly. Thus, in general,
the nuclei and the aerosol formation followed a pattern similar to the
process of ozone formation. However, the nuclei and aerosol contents
changed at slower rates than the ozone content; in fact, the number of
nuclei and aerosols varied only slightly past the third sampling station
which was 1.75 m from the entrance of the tunnel. Since the nuclei and
the aerosol counts at the tunnel entrance were nearly zero, most of the
nuclei and the aerosols were formed in the region between the entrance
and the third sampling station. According to the data in Fig. 5.1, ozone
was also generated at the fastest rate in this region.
-------
E
Q.
Q.
o
o
en
UJ
o
X
o
UJ
o
o
-------
-79-
Im'tially, nuclei were produced by the interaction of some of the
gaseous reactants which were the byproducts of the photochemical reac-
tions [18,49,53,63]. The nuclei then interacted both with gaseous mole-
cules and with each other, resulting in an increase in the size of the
nuclei. Eventually, the nuclei reached a size which became detectable
on the aerosol counter. These "nuclei" were then designated as aerosols.
The number of nuclei and aerosols decreased along the tunnel due to co-
agulation, diffusion, and deposition. Since the number of nuclei and
aerosols remained reasonably constant along the tunnel, it appeared that
in the present system the formation and the depletion of nuclei and aero-
sols proceeded at nearly the same rates. Here, we were not concerned
with the details of these two processes but were only interested in the
maximum number of nuclei and aerosols generated for each combination of
nitrogen dioxide and cyclohexene concentrations. The maximum numbers of
nuclei and aerosols deduced from all the data are listed in Appendix E.
The maximum number (referred to simply as the "number") of nuclei
produced for different initial concentrations of cyclohexene and nitro-
gen dioxide is given in Fig. 5.12. In comparing this figure with Fig.
5.2, it can be seen that the variation in the nuclei content with the
initial concentrations of nitrogen dioxide and cyclohexene is remarkably
similar to the variation of the ozone content with the initial concen-
trations of nitrogen dioxide and cyclohexene. For example, similar to
ozone, for a given initial nitrogen dioxide concentration, the number
of nuclei produced first increased with the cyclohexene concentration,
reached a peak and then decreased with further increase in the initial
cyclohexene concentration. Moreover, for a given initial nitrogen diox-
ide concentration, the amounts of the ozone and the nuclei produced
-------
I04
10
'E
u
LJ
_l
O
or
u
m
[N]mox= 540
I T
I IT
lOppm
5ppm
O.Sppm
Initial N02 Concentration
i i i i i i
I
i i i i i i i
I i i i i i i
0.3 I 10
INITIAL CYCLOHEXENE CONCENTRATION
, ppm
Fig. 5.12. Nuclei content in cyclohexene-nitrogen dioxide-air mixtures
humidity: 50%. Light intensity kj = 6.33ks-l
100
Relative
-------
-81-
reached their respective maximum values at approximately the same initial
cyclohexene concentration (e.g. for [N02] =2 ppm, [03] occurs at
U Illu A
[C6H10]0=4'6 ppm and the maximum number of nuclei [N]max at [CsHio]0 =
4.4 ppm).
The similarities in the results of the nuclei and the ozone become
even more evident if the number of nuclei is plotted against the ini-
tial concentration ratio ([C6Hio]0/[N02]0) (Fig. 5.13). It is seen that
the maximum number of nuclei always occurs at a concentration ratio of
about 2.4, which is the same ratio at which the ozone content is a maxi-
mum in the mixture (Fig. 5.4).
The maximum number of nuclei produced for a given initial cyclohex-
ene concentration is represented by the dotted line in Fig. 5.12. The
equation of this line is
Hlo (5.32)
-3 -1/2
A, is a numerical constant having the value of 540 cm ppm ' . Again,
similar to ozone, a) the maximum number of nuclei may be expressed inde-
pendently of the initial nitrogen dioxide concentration, and b) the maxi-
mum number of nuclei varies with the square root of the initial cyclo-
hexene concentration. The maximum number of nuclei produced for a given
initial nitrogen dioxide concentration may also be evaluated from the
data (Fig. 5.12). The results show that
o (5.33)
-3 -1/2
where A~ = 835 cm ppnf . As in the case of ozone (see eq. 5.24),
the maximum number of nuclei varies directly with the square root of the
initial nitrogen dioxide concentration.
-------
ICT
10
I
E
u
UJ
or
UJ
O>
10'
i i i
Initial
Concentration
10 ppm
5ppm
I I I i I I
I
i i i i i i
CO
.N5
I
0.3 I 10
INITIAL CONCENTRATION RATIO, [C6H,0]0/ [N02]0
100
Fig. 5.13. Nuclei content as a function of the initial concentration ratio in c/clohexene-
nitrogen dioxide-air mixtures. Relative humidity: 50%. Light intensity
k = 6.33ks-l
-------
-83-
It should be noted that eqs. (5.32) and (5.33) were determined from
the data obtained under specific experimental conditions, i.e., k^=6.33
ks and ^ =50%. The constants A, and Ap, therefore, may depend on the
light intensity and the relative humidity. Data are as yet unavailable
which would indicate the dependence of A-, and Ap on the light intensity
and the relative humidity.
It would be of interest now to assess whether or not eqs. (5.32) and
(5.33) could be applied to other types of hydrocarbons. In order to ac-
complish these goals, data such as reported here, but obtained with
different types of hydrocarbons, would be needed. Unfortunately, such
data are unavailable at the present time. Only in a few investigations
were the nuclei number counts measured, and most of the existing data
were obtained under selected conditions. For example, in most previous
experiments, the initial hydrocarbon and nitrogen oxide concentrations
were fixed and only the type of the hydrocarbon used in the mixture was
varied. Consequently, the results of these tests do not give a range of
concentration ratios but apply only to one specific value. Furthermore,
in most of the past tests the number of nuclei was not determined dir-
ectly; instead, the relative number concentration of the nuclei (or
aerosols) was evaluated by measuring the light scattered from a light
beam passing through the mixture. Hence, we were unable to fit similar
expressions like eqs. (5.32) and (5.33) to the data obtained with other
types of hydrocarbons.
There appears to be only one nuclei measurement which can be com-
pared directly with the present results. Stevenson et. al. [59] per-
formed flow type experiments in a 0.125 m3 Pyrex tube which was irradiated
-------
-84-
by fluorescent lamps. They reported that for a mixture containing 2 ppm
of nitrogen dioxide and 3.5 ppm of cyclohexene, the number of nuclei pro-
duced was about 700 cm" . They did not report either the light intensity
or the relative humidity inside their Pyrex tube. However, for the cor-
responding mixture composition, the present data indicate a nuclei count
•3
of 800 cm (Fig. 5.12) which is in good agreement with the value obtained
by Stevenson, et. al.
The number of aerosols as a function of the initial cyclohexene and
nitrogen dioxide concentrations is shown in Fig. 5.14. For a given ini-
tial nitrogen dioxide concentration, the aerosol content at first in-
creased sharply with increasing concentrations of cyclohexene. At about
•3
400 aerosols per cm , the aerosol content gradually levelled off with
further increase in the initial cyclohexene concentration. Figure 5.14
does not provide much information on the number of aerosols formed. When
the aerosol content is plotted against the initial concentration ratio
([CsHio] /[N02]Q), the data points all collapse onto one common curve
(Fig. 5.15). In contrast to the nuclei (Fig. 5.13) and ozone (Fig. 5.4)
formation, the number of aerosols produced appear to depend only on the
initial concentration ratio. The effects of the initial nitrogen dioxide
concentration on the aerosol content seem to be small. The apparent lack
of influence of the nitrogen dioxide concentration on the aerosol pro-
duction may be due to the fact that the fluctuations in the aerosol mea-
surements (-30%) may be larger than the effects of the changes in the
nitrogen dioxide concentrations on the number of aerosols produced.
It is interesting to note that the aerosol content becomes appre-
ciable only when the initial concentration ratio ([C6HioL/[N02]0) is
larger than about 2.4, the same value at which the amounts of ozone and
-------
1000
to
I
u
en
O
o
100
oc
§
Initial N02
Concentration 0.6 ppm
1ppm
10
0.3
i i i i i i I
I
i i
I I i Mi1-
c:
in
i
lOppm
l i i i i i i
1.0 10
INITIAL CYCUOHEXENE CONCENTRATION, ppm
100
Fig. 5.14. Aerosol content in cyclohexene-nitrogen dioxide-air mixtures,
humidity: 50%. Light intensity k] = 6.33 ks-1
Relative
-------
-86-
10"
10
u
3
o
o:
UJ
<
u.
o
or
UJ
CD
IO
10
I I T_
Initial N02
Concentration ppm
x 0.6
o i
* 2
a 3
A 5
010
o
1
J I
10 60
INITIAL CONCENTRATION RATIO, [C6H|0]0/[N02]0
Fig. 5.15. Aerosol content as a function of the initial concentration
ratio in cyclohexene-nitrogen dioxide-air mixtures.
Relative humidity: 50%. Light intensity kj = 6.33 ks'1
-------
-87-
nuclei reach their maximums (see Figs. 5.4 and 5.13). When the ratio is
below 2.4, only about 50 aerosols cm are generated in the mixture.
This is a small number compared to the nearly 600 aerosols cm generated
when the concentration ratio is ~10.
It would be desirable now to compare the present aerosol data with
the results of other investigators. Direct comparison between the re-
sults of the present and previous investigations is not possible because
different light intensities and different relative humidities were used
in different experiments. The effects of the light intensity and the
relative humidity on aerosol formation in hydrocarbon-nitrogen oxides-
air mixtures have not been studied in the past. Some indications of these
two effects may be deduced from the aerosol studies performed with hydro-
carbon-nitrogen oxides-sulfur dioxide-air mixtures. Groblicki and Nebel
[29] investigated the effect of the light intensity on aerosol formation
in propylene-nitric oxide-sulfur dioxide-air mixtures. They found that
the light intensity had no effect on the maximum amount of aerosols pro-
duced. The light intensity merely affected the time required to produce
the maximum amount of aerosols.
The effect of the relative humidity on the amount of aerosols gen-
erated in hydrocarbon-nitrogen oxides-sulfur dioxide-air mixtures has been
studied by Groblicki and Nebel [29], Harkins and Nicksic [30], Prager et.
al. [47], Schuck et. al. [53], and by Wilson and Levy [64]. Some of the
results showed an increase in the amount of aerosols with increasing
humidity [53], while some showed a decrease [29,30,64]. Furthermore,
some of the data showed no apparent relationship between the amount of
aerosols generated and the relative humidity [47].
-------
-88-
Comparisons between the present and existing aerosol data are not
possible not only because the light intensities and the relative humi-
dities were different in the tests, but also because the number count of
the aerosols was not reported in most previous investigations.
In most of the past measurements, the light scattering method was
employed which provided the amount of light scattered by the aerosols
in some arbitrary unit, but did not yield directly the number of aerosols
per unit volume [29,47,49,59]. One notable exception was the test by
Renzetti and Doyle [49] who performed flow type experiments in a 0.05 m
Pyrex flask irradiated by mercury arc lamps. They recorded the number
_3
of aerosols produced to be 290 cm in a mixture containing 1 ppm nitric
oxide and 2 ppnr cyclohexene at a relative humidity of 50%. The present
data, shown in Fig. 5.15, indicate that the number of aerosols is in the
range of 100 to 300 cm"3. Renzetti and Doyle's data fall within the
spread of the present results.
A direct quantitative comparison is not feasible between the pre-
sent data and the data obtained by light scattering methods. A quali-
tative comparison between the present results and the data obtained by
light scattering methods is possible, because the amount of light
scattered is proportional to the number of aerosols in the mixture. Mea-
surements of light scattering in hydrocarbon-nitrogen oxides-air mixtures
were reported in references [29,47,49,59]. Renzetti and Doyle [49]
o
performed flow type experiments in a 0.05 m Pyrex flask irradiated by
mercury lamps, using 3 ppm hydrocarbon, 1 ppm nitric oxide, and 50%
relative humidity in all their tests. Prager et. al. [47] performed
static type experiments in a long-path infrared absorption cell irradiated
by mercury lamps. Prager et. al. kept the mixture compositions at
-------
-89-
10 ppm hydrocarbon, 5 ppm nitric oxide, and 100 ppm water vapor (~ 0.3%
relative humidity). Groblicki and Nebel [29] tested gas-air mixtures in
a 8.5 nr* stainless steel chamber irradiated by fluorescent lamps. The
mixture composition was fixed at 4 ppm hydrocarbon and 2 ppm nitric oxide.
Stevenson et. al. [59] performed flow type experiments in a 0.125 m
Pyrex tube irradiated by fluorescent lamps and measured the aerosol light
scattering in cyclohexene-nitrogen dioxide-air mixtures (at 3.5 ppm cyclo-
hexene and 2 ppm nitrogen dioxide, and at 1.83 ppm cyclohexene and 1 ppm
nitrogen dioxide). Altogether, over 40 different types of hydrocarbons
were tested by these previous investigators [29,47,49,59]. However, in
each experiment, only one set of initial hydrocarbon and nitrogen oxides
concentrations, was. tested. Hence, an aerosol light scattering versus
initial concentration ratio curve could not be plotted for any of these
hydrocarbons, with the exception of cyclohexene for which light scatter-
ing was measured by four different investigators [29,47,49,59]. For cy-
clohexene, the aerosol light scattering against the concentration ratio
could be plotted. This plot, given in Fig. 5.16, may be compared with the
present data shown in Fig. 5.15. It is seen that these two figures ex-
hibit certain common features. First, both the aerosol light scattering
and the aerosol number count indicate that when the initial concentration
ratio is increased from 2 to 5 the amount of aerosols produced is in-
creased by a factor of ten (i.e. the aerosol content is increased from
40 to 400 cm" ; the light scattering from 3 to 30). Second, the light
scattering measurements support the present observations that: a) few
aerosols are produced when the concentration ratio is below 2.4, and
b) the number of aerosols produced defends mainly on the concentration
ratio and very little on the initial nitrogen dioxide concentration.
-------
-90-
100
o
!o
10
o:
LJ
<
o
III I I L-
I I I I I I 1
I
10
INITIAL
CONCENTRATION RATIO
[C6HJ0/[NOX]0
Fig. 5.16. Light scattering from aerosols produced in cyclohexene-
nitrogen oxides-air mixtures, a Stevenson et. al. [59];
4 Groblicki and fJebel [29]; S Prager et. al. [47];
{ Renzetti and Doyle [49]
-------
-91-
In addition to the total number of aerosols, the size distributions
of the aerosols were also determined for several mixture compositions.
The results of these aerosol size measurements obtained at two different
sampling stations (#3 and #11) are shown in Fig. 5.17. The data are
expressed in terms of the dimensionless parameters (see Section II)
7
J,
'
A NMr
(2.3)
With the use of these paramp.ters, all aerosol size measurements should
fall on one common curve [21, 45]. Moreover, in the size range where
the aerosol is irt a ai.ate of dynamic equilibrium (i.e. the rate of gain
of aerosols by ro&gulation is equal to the rate of loss of aerosols due
to coagulation, diffusion and sedimentation), ^- should vary inversely
with the fourth power of *) [11,22,38,45], i.e.,
Y* <^ n-4 (2.6)
The results in Fig. 5.17 show that, on a graph of/" versus ^ , the
present data follow a common curve and the slope of this curve is nearly
-4. The slope of the curve becomes somewhat steeper for larger values
of H (i.e., larger aerosols). These results agree very closely with the
results of Husar and Whitby [35] (solid line in Fig. 5.17) who monitored
the growth of aerosols due to photochemical reactions in atmospheric air
contained in a 77.5 m polyethylene bag. Husar and Whitby did not re-
port the composition of the atmospheric air.
-------
-92-
iov
10
4
o In Tunnel
Room Air
Atm.Air
\
A
Present
00,0
Husor a \ \
Whllby V\
•\
• \
0.03 0.1
1.0
10
Aerosol size distribution obtained in the tunnel for
cyclohexene-nitrogen dioxide-air mixtures, o in the tunnel,
present study; room air, present study; atmospheric
air, Husar and Whitby [35]
-------
-93-
The size distribution of the aerosols in the room where the pre-
sent tests were performed (see Fig. 2.6) is also included in Fig. 5.17
(dotted line). It appears that the size distributions (expressed in
terms of ijr and n ) of the aerosols produced by the photochemical reac-
tions, either in a tunnel or in a bag, do not differ markedly from the
size distribution of the aerosols in the natural atomsphere. The aero-
sol size distributions in the present tunnel, in Husar and Whitby's test,
and in the atmosphere all agree very well with each other when presented
on a\t- versus rj plot.
The size distributions (expressed in terms of ^ and rj ) seem to be
unaffected by the mixture composition, the light intensity or the rela-
tive humidity.
-------
-94-
CHAPTER VI
CONCLUDING REMARKS
The experiments performed in this investigation provide new informa-
tion on the participate formation in sulfur dioxide-air mixtures and on the
ozone and particulate formation in cyclohexene-nitrogen dioxide-air mix-
tures.
The results obtained during the photooxidation of sulfur dioxide-air
mixtures showed that, for initial sulfur dioxide concentrations ranging
from 0.2 to 1 ppm and relative humidities ranging from 25 to 100%, the
maximum number of nuclei varied directly with the sulfur dioxide concen-
tration and with tie square of the relative humidity. The present results
obtained at sulfur dioxide concentrations less than 1 ppm are in general
agreement with the data reported by earlier investigators.
Aerosol measurements were also made in sulfur dioxide-air mixtures;
the amounts of aerosols produced in the mixture were found to be negligible.
The maximum amount of ozone formed in cyclohexene-nitrogen dioxide-
air mixtures was shown to be directly proportional to a) the square root
of the initial cyclohexene concentration, b) the square root of the ini-
tial nitrogen dioxide concentration, and c) the square root of the light
intensity. Using the results of the present study and the data obtained
by previous investigators for different types of hydrocarbons, expres-
sions were developed which indicated quantitatively the maximum amount
of ozone which can be formed with different types of hydrocarbons.
Nuclei measurements in cyclohexene-nitrogen dioxide-air mixtures
showed that the maximum number of nuclei varied directly with the square
root of both the cyclohexene and the nitrogen dioxide concentrations.
The production of aerosols in cyclohexene-nitrogen dioxide-air mix-
tures appeared to depend only on the ratio of the initial concentrations
-------
-95-
of cyclohexene and nitrogen dioxide. Within the accuracy of the measure-
ments, the amount of aerosols formed seemed to be insensitive to the nit-
rogen dioxide concentration.
The aerosol size distributions in cyclohexene-nitrogen dioxide-air
mixtures were also measured for several mixture compositions. The size
distributions were found to follow closely Friedlander's universal self-
preserving curve.
During the experiments with cyclohexene-nitrogen dioxide-air mixtures,
the light intensity and the relative humidity were kept constant. The
effects of these two parameters on the amount of ozone formed could be
assessed by utilizing the results of previous investigations. The effects
of the light intensity and the humidity on nuclei and aerosol formation
could not be evaluated because of the lack of relevant data. Hence, the
influence of light intensity and relative humidity on particulate forma-
tion merit further investigations.
Finally, it is noted that static type experiments were also performed
in a 0.6 m i.d. and 1.2 m tall Plexiglas irradiation chamber. The re-
sults obtained from these tests were unrepeatable and were scattered widely.
The exact reasons for the scatter in the data are unknown. It is strongly
suggested, however, that the scatter was caused by the fact that the cham-
ber could not be cleaned thoroughly before each test. Although the chamber
was flushed with clean air several times prior to each test, such flushing
did not seem to clean the system adequately. This conclusion is supported
by the observation that in the flow type experiments, up to seven days of
continuous flushing was needed to achieve a "clean" chamber (Section III).
-------
APPENDIX A
LITERATURE SURVEY
In the experiments performed in the past to study photochemical re-
actions, the following procedure was generally used. The gas mixture was
introduced into a container. The mixture was then irradiated and some
products of the reaction were monitored. The source of irradiation was
either natural sunlight or artificial ultraviolet light. The gas mix-
ture either stayed inside the container during the entire experiment
(static type experiment) or flowed through the container at a steady
rate (flow type experiment).
In this survey, only those experiments are summarized in which the
measurements of ozone (or oxidant, see below) and particulates were of
primary interest. Accordingly, this survey is divided into two parts.
The first part describes experiments in which the measurement of ozone
(or oxidant) was the major concern. The second part describes experi-
ments in which the production of particulates wpre investigated. The
results of the various studies are presented in chronological order.
Ozone
Here the results of those previous investigations are included in
which the amount of either ozone or oxidant was measured. This is be-
cause the formation processes of the oxidant and of the ozone are very
similar [8,69]. Moreover, in a major portion of the existing literature
measurements of the oxidant and not ozone were reported. It is, there-
fore, both desirable and advantageous to include these reports in the
survey.
-96-
-------
-97-
Haagen-Smit [50] was among the first to study the photochemical
reaction in hydrocarbon-nitrogen oxides-air mixtures. He investigated
the formation of ozone in a series of static type experiments in which
3
the gas mixture was placed in a 0.005 m Pyrex flask irradiated by flu-
orescent lights. The gas mixture tested was 3-methyheptane and nitro-
gen dioxide diluted in dry oxygen. Haagen-Smit varied the initial con-
centrations of 3-methyheptane (0.1 to 10,000 ppm) and of nitrogen dioxide
(0.04 to 400 ppm). In the report, he also presented measurements in
which natural sunlight and air were used instead of the fluorescent
lights and oxygen. In all these experiments, the amounts of ozone gen-
erated were inferred from the crack depths of the rubber strips placed
inside the flask and irradiated for ten hours.
Scott [47] performed static type experiments in which the gas mix-
ture was placed in a long-path infrared absorption cell irradiated by a
mercury lamp. The experiments were performed for two initial concentra-
tions of 3-methyheptane (3 and 40 ppm). The initial nitrogen dioxide
concentration was varied from 0.1 to 8 ppm. For each mixture composi-
tion, the amount of ozone generated was monitored as a function of the
irradiation time (up to six hours).
Harton and Bolze [29] performed a series of static type experiments
in which the hydrocarbon-nitrogen dioxide-air mixture was placed in a
62 m glass chamber irradiated by natural sunlight. The initial con-
centrations were usually 0.3 and 0.6 ppm for the hydrocarbon and 0.6 and
1.2 ppm for the nitrogen dioxide. Harton and Bolze tested over thirty
different types of hydrocarbons which included paraffins, straight and
branched olefins, cyclo-olefins, diolefins, aromatics as well as commer-
-------
-98-
cial solvents. Besides measuring the oxidant and the nitrogen oxides
concentrations during the tests, eye irritation measurements were also
taken.
Altshuller and Cohen [2] performed static type experiments in 0.09
3
m Teflon bags irradiated by fluorescent lamps. They studied the photo-
chemical reactions in ethylene-nitrie oxide-air mixtures by varying the
initial concentrations of ethylene (0.1 to 5 ppm) and of nitric oxide
(0.2 to 10 ppm). In addition to measuring the amount of oxidant gen-
erated, Altshuller and Cohen also monitored the concentrations of ethy-
lene, nitrogen dioxide, carbon monoxide, and formaldehyde during the
tests.
Glasson and Tuesday [25] performed static type experiments. The
hydrocarbon-nitric oxide-air mixture was placed in a long-path infrared
absorption cell irradiated by fluorescent lights. Glasson and Tuesday
varied the initial concentration of nitric oxide from 0.05 to 3 ppm.
For the five hydrocarbon tested (propylene, ethylene, trans-2-butene,
isobutene, and m-xylene), the initial concentrations most often used
were 1 and 2 ppm. In their experiments, Glasson and Tuesday measured the
formation rate of ozone, the oxidation rate of hydrocarbon and the con-
centration of peroxyacetyl nitrate.
Romanovsky et. al. [51] performed static type experiments in a
32 m glass aluminum chamber irradiated by fluorescent lamps. The mix-
ture investigated was propylene and nitric oxide in air. The initial
concentration of propylene was varied from 0 to 8 ppm and that of nitric
oxide was varied from 0 to 4 ppm. During the experiments, the amounts
of oxidant, nitrogen oxides, propylene, and formaldehyde were monitored
and eye irritation was also studied.
-------
-99-
Altshuller et. al. [5] performed both static type and flow type
3
experiments in a 95 m aluminum chamber irradiated by fluorescent lamps.
In the propylene-nitric oxide-air mixture studied, the initial concen-
tration of propylene was varied from 0.25 to 3 ppm and the nitric oxide
initial concentration was varied from 0.125 to 4 ppm. The concentra-
tions of oxidant, nitrogen dioxide, carbon monoxide, methyl nitrate, and
the aldehydes were all monitored.
Stephens and Price [58] performed flow type experiments in a 0.141
m Pyrex tube irradiated by fluorescent lamps. The initial concentration
of cis-2-butene was varied from 0 to 2.4 ppm while the nitric oxide con-
centrations used were 0.05, 0.125, 0.25, and 0.5 ppm. Stephens and Price
measured the amounts of oxidant, nitrogen dioxide, methyl nitrate, and
peroxyacetyl nitrate during these tests.
Bufalini and Altshuller [10] performed static type experiments in
3
which hydrocarbon-nitric oxide-air mixtures were placed in a 0.072 m
Pyrex flask irradiated by fluorescent lamps. The hydrocarbons tested
were 2-3-dimetnyl-2-butene, 1-butene, n-butane, and 1,3,5-trimethylben-
zene. The initial concentrations of the hydrocarbon were varied such that
the ratio of the hydrocarbon concentration to the nitric oxide concen-
tration ranged from 0 to 5. The parameters measured included the amount
of oxidant formed, the percent of hydrocarbon reacted, and the nitrogen
dioxide dosage produced.
Altshuller et. al. [6] performed static type experiments in which
paraffinic hydrocarbon-nitric oxide-air mixtures were placed in a 95 m
aluminum chamber irradiated by fluorescent lamps. Of the eight paraffins
studied, n-butane was most frequently tested. The initial concentra-
tion of n-butane was kept at 3 and 6 ppm while the nitric oxide concen-
-------
-100-
tration was varied from 0 to 2.4 ppm. In their experiments Altshuller
et. al. monitored the amounts of oxidant, nitrogen dioxide, aldehydes,
peroxyacetyl nitrate, and methyl nitrate, and also studied the eye irri-
tation effect as well as the damage incurred in Pinto Beam plants.
Using the apparatus in reference [6], Altshuller et. al. [7] also
studied the photochemical reaction in aromatic hydrocarbon-nitric oxide-
air mixtures. The initial concentrations of the two aromatics studied
(toluene and m-xylene) were kept at 1.5, 3, and 4.5 ppm while the nitric
oxide initial concentration was varied from 0.2 to 1.5 ppm. Altshuller
et. al. measured the dosages of the oxidant, nitrogen dioxide and per-
oxyacetyl nitrate and evaluated eye irritation effects.
Kopczynski et. al. [41] used the same apparatus as Altshuller et. al.
[6,7]. Kopczynski et. al. investigated the photochemical reaction in
aldehyde-nitric oxide-air mixtures. The initial concentrations of the
three aldehydes tested (formaldehyde, acetaldehyde and propionaldehyde)
were kept at 3 ppm while the initial nitric oxide concentration was varied
from 0.1 to 7.6 ppm. In this investigation the concentrations of the
oxidant, hydrocarbon, nitrogen dioxide and peroxyacetyl nitrate were
monitored and the eye irritation effect was studied.
In general, the results of all the previous investigations showed
that, for a given initial hydrocarbon concentration, the amount of ozone
produced first increased with the initial nitrogen oxides concentration,
reached a peak, and then decreased with further increase in the nitro-
gen oxides concentration. When the initial nitrogen oxides concentra-
tion was kept fixed and the initial hydrocarbon concentration was varied,
the amount of ozone produced also first increased with the initial
-------
-101-
hydrocarbon concentration, reached a peak, and then decreased with
further increase in the initial hydrocarbon concentration. Compre-
hensive quantitative comparisons and correlations of the results were
not attempted in these investigations.
Particulates
Particulate formation has been studied in many different types of
gas-air mixtures and the particles formed have been generally classi-
fied under two categories. "Condensation nuclei" are particles whose
diameters lie between 2 nm and 0.1 Mm and "aerosols" are particles
whose diameters are greater than 0.3yum. Condensation nuclei were
usually detected and measured by condensation nuclei counters (e.g.
General Electrtc Condensation Nuclei Counter). Aerosols were frequently
detected and" measured by aerosol light scattering photometers (e.g.
Royco Particle Counter).
The formation of particles during the photooxidation of sulfur
dioxide-air mixtures were studied by several investigators [13,14,17,
24,40,48,49]. Gerhard and Johnstone [24] performed static type experi-
ments in a 0.008 cnr* Lucite chamber irradiated by a sun lamp. The ini-
tial sulfur dioxide concentrations were 5, 10, 20, and 30 ppm. The
relative humidity was varied from 32 to 91% and the length of irradia-
tion time from 15 minutes to 6 hours. Gerhard and Johnstone measured
the amount of sulfuric acid drops collected on a high velocity impactor.
Dunham [17] performed two static type tests to demonstrate the
pohtooxidation mechanism in sulfur dioxide-air mixtures. In the first
test, sulfur dioxide was introduced into a quartz tube containing ozone-
rich air, while the ultraviolet light was turned off. In the second
test, a sulfur dioxide-air mixture in the quartz tube was irradiated by
-------
-102-
an ultraviolet light. Dunham found that nuclei was formed only in the
second test and concluded that nuclei formation was due to the photo-
oxidation of sulfur dioxide.
Renzetti and Doyle [49] performed flow type experiments in a 0.05
m Pyrex flask irradiated by mercury lamps. The initial sulfur dioxide
concentration was varied from 0 to 0.5 ppm. Relative humidities of 0
and 50% were used. The residence time of the gas-air mixture inside the
flask was kept at either 17 or 27 minutes. Particulate formation was
measured by an aerosol counter photometer and a nuclei counter.
Quon et. al. [48] performed a series of static type experiments in
0.014 m Saran bags irradiated by fluorescent lamps. The initial sulfur
dioxide concentration was varied from 0.202 to 0.647 ppm, the relative
humidity from 13 to 77%, and the length of the irradiation time from 30
to 240 seconds. The amount of nuclei formed was measured by a conden-
sation nuclei counter.
T
Cox and Penkett [13] performed static type experiments in a 0.216 m
aluminum chamber irradiated by natural sunlight. Sulfur dioxide at var-
ious initial concentrations (0.08 to 0.76 ppm) were tested. Cox and
Penkett did not report the relative humidity in the tests.
o
Cox [14] performed flow type experiments in a 0.005 m Pyrex flask
irradiated by a mercury lamp. The initial sulfur dioxide concentration
was varied from 5 to 1000 ppm. The relative humidities tested were 1,
5, 24, and 80%. The residence time of the gas mixture inside the flask
was fixed at 150 seconds. The number of nuclei formed was measured
during the tests.
-------
-103-
Kocmond et. al. [40] performed a series of static type experi-
ments in three different chambers irradiated by fluorescent lamps. Two
of the chambers were 0.25 and 1.7 m Teflon bags, the third one was a
600 m steel chamber whose interior surfaces were lined with a spec-
ially formulated fluoro-epoxy polymer. Various initial sulfur dioxide
concentrations (from 0.049 to 2.88 ppm) and relative humidities (from 11
to 77%) were used in the experiments. The particulates produced were
measured by a Whitby Aerosol Analyzer and a General Electric Condensa-
tion Nuclei Counter.
The results from the investigations described above all agreed that
the number of nuclei produced increased with the initial sulfur dioxide
concentration. However, the exact relationship between the number of
nuclei produced and the initial sulfur dioxide concentration still re-
mains unclear. There is also disagreement among the reports on the
effect of the relative humidity on the production of the condensation
nuclei. Some studies showed that the number of nuclei produced in-
creased with humidity [14,49]; others found that there was no humidity
effect [24,48].
Experiments on particulate formation in hydrocarbon-nitrogen
oxides-air mixtures were reported in references [29,47,49,59]. Using
the apparatus described before, Renzetti and Doyle [49] studied aerosol
production in 18 different types of hydrocarbons. The same initial
concentration (3 ppm hydrocarbon, 1 ppm nitric oxide and 50% relative
humidity) was used in each test for each hydrocarbon. Renzetti and
Doyle used an aerosol counter photometer to measure the amount of light
scattered by the aerosols.
-------
-104-
Prager et. al. [47] performed static type experiments in a long-
path infrared absorption cell irradiated by mercury lamps, with 10 ppm
hydrocarbon, 5 ppm nitrogen dioxide and 100 ppm water vapor. Altogether
Prager et. al. tested 17 different types of hydrocarbons for aerosol
production. They used a Sinclair-Phoenix smoke photometer to measure
the amount of light scattered by the aerosols.
Stevenson et. al. [59] performed flow type experiments in a 0.125 m3
Pyrex tube irradiated by fluorescent lamps. Selected initial concentra-
tions of five hydrocarbons and nitrogen dioxide were tested. The
amounts of particulates formed were measured by a nuclei counter and a
Sinclair-Phoenix smoke photometer.
Groblicki and Nebel [29] performed static type experiments in a
3
8.5 m stainless steel chamber irradiated by fluorescent lamps. Five
different hydrocarbons were used in the hydrocarbon-nitric oxide-air
mixture for the production of particulates. The initial hydrocarbon
and nitric oxide concentrations were always 4 ppm and 2 ppm respectively.
Groblicki and Nebel used a condensation nuclei counter and a Sinclair-
Phoenix smoke photometer in their particulate measurements.
A total of over 40 different types of hydrocarbons were studied for
particulate formation in the investigations listed above [29,47,49,59].
The general conclusion reached by the previous studies was that only
highly branched olefins, cyclo-olefins and diolefins were capable of
producing large quantities of particles.
Investigations were made to study the effect of adding sulfur diox-
ide to hydrocarbon-nitrogen oxides-air mixtures [27,29,47,49,53,59].
Groblicki and Nebel [29], Prager et. al. [47], Renzetti and Doyle [49],
and Stevenson et.al. [59] all introduced known concentrations of sulfur
-------
-105-
dioxide into the hydrocarbon-nitrogen oxides-air mixtures and measured
the amounts of particulates formed. Schuck et. al. [53] performed static
3
type experiments in a 14.7 m glass chamber irradiated by a combination
of mercury lamps and fluorescent lamps. Schuck et. al. measured the
aerosol light scattering produced in an air mixture containing 3 ppm
2-methyl-2-butene, 1 ppm nitric oxide, and 0.1 ppm sulfur dioxide at
various relative humidities. Other types of hydrocarbons (ethylene,
acetylene, isobutylene, and formaldehyde) were also tested for particu-
late formation. Goetz and Pueschel [27] performed flow type experi-
ments in which 1-octene-nitrogen dioxide-sulfur dioxide-air mixtures
•5
were placed in a 0.019 m glass tube irradiated by fluorescent lamps..
The initial concentrations of 1-octene and nitrogen dioxide were kept at
80 and 60 ppm respectively. The initial sulfur dioxide concentrations
used were i* 15, and 60 ppm and the relative humidity was changed from
15 to 70%. Goetz and Pueschel measured the aerosols by means of a
Royco Particle Counter and an aerosol spectrometer.
The results of these investigations showed that, in general, sulfur
dioxide would enhance the production of particulates in a hydrocarbon-
nitrogen oxides-air mixture.
There have been very few experiments performed to determine the
chemical compositions of the photochemical particles. The particulates
formed in sulfur dioxide-air mixtures have been found to be sulfuric
acid [13,14,24,48]. The exact chemical compositions of the particulates
formed in hydrocarbon-nitrogen oxides-air mixtures and in hydrocarbon-
nitrogen oxides-sulfur dioxide-air mixtures are not well known, although
a few measurements have indicated that the particulates are predominantly
nitrates and sulfates [18,29,47].
-------
-106-
APPENDIX B
CERTIFIED CONCENTRATION OF TEST GASES
Test Gas Concentration, ppm Supplier
Nitrogen Dioxide 205 Air Products & Chemicals
Company
Cyclohexene 219 Matheson Gas Company
Sulfur Dioxide 208 Matheson Gas Company
-------
-107-
APPENDIX C
ESTIMATION OF PARTICLE LOSSES DUE TO
SETTLING, COAGULATION AND DIFFUSION
Particles may be lost along the irradiation tunnel and along the
sampling line between the sampling stations and the particle counters.
Table C.I lists the flow conditions in the tunnel and in the sampling
line. The "residence time", (defined as the average time during which
the gas-air mixture stays in the tunnel or in the sampling line) is ob-
tained by dividing the length of the tunnel or the sampling line by the
corresponding mean flow velocity. The Reynolds numbers in both flow
situations are low and the flows are essentially laminar (Table C.I).
C.I Loss Due to Settling
The settling velocities of very small particles settling under the
action of gravity are given in reference [23]. The distance travelled
by a particle falling under the action of gravity in a certain time is
equal to the product of the settling velocity and the time. Table C.2
lists the settling velocities and the vertical distances travelled by
different size particles during a time interval equal to the residence
time both in the tunnel and in the sampling line. Particles deposit on
the lower part of the inside surface of the tube when the distance fallen
is larger than the inside diameter of the tube. The inside diameters of
the tunnel and the sampling line are 15.2 and 0.635 cm respectively.
These distances are larger than the distances travelled by particles
less than ~ 1 yu m in diameter. Thus, losses due to settling is neglig-
ible for particles less than -I *-ni in diameter.
-------
-108-
Table C.I Flow Conditions in the Tunnel and in the Sampling Line
Tunnel
Sampling
Line
Diameter
cm
15.2
0.635
Length
cm
912
120
Flowrate
cnrs"'
46
4.72
Mean Flow
Velocity
cm s-T
0.255
14.9
Residence
Time
3,598
8.1
Reynolds
Number
24
59
Table C.2 Estimation of the Vertical Distance Travelled by Different
Size Particles Due to Gravity During Residence Time in the
Tunnel and in the Sampling Line
Particle
Diameter
;A m
2xlO"3
4xlO"3
IxlO"2
Settling
Velocity*
nm s-1
1.31x10
2.62x10
6.63x10
Distance
Tunnel
4.7xlO"3
9.4x!0"3
2.4xlO"2
Travelled
Sampling
IxlO"5
2xlO"5
5x1 O"5
2x10
1x10
2x10
1
2
-2
-1
-1
1.37x10'
8.64xl02
2.24xlO:
3.47x10^
1.28x10*
4.9x10"
3.1x10"
8.1x10"
1.2x10
4.6x10
1.1x10"
_4
7x10
1.8x10"
2.8x10"
IxlO"1
Tunnel Diameter=15.2 cm
Sampling Line Diameter=0.635 cm
From Table 13 in reference [23]
-------
-109-
C.2 Loss Due to Coagulation
The number of particles also decreases due to coagulation with the
passage of time. For particles initially of the same size, it can be
shown that the number of particles n, after time t, is related to the
initial number nQ by the expression
~n^ = ~"l + KnQt (C.I)
where K is the coagulation constant [23]. Table C.3 lists the coagula-
tion constants for different particle sizes. In order to compute the
value n/n0, t is assumed to be equal to the residence time and n0 is
•s 3
assumed to be 10 particles cm . It is found that, for every particle
size, the value n/n calculated from eq. (C.I) is very close to one.
Hence, the Toss due to coagulation is negligible for all sizes of par-
ticles that may be present in the gas -air mixture.
C.3 Loss Due to Diffusion
Particles may also be lost due to diffusion to the inside surface
of a tube. An expression was given in reference [23] for the diffusion
of particles in a laminar flow inside a circular tube. If nQ is the
initial particle concentration, n the particle concentration after passing
through a tube of radius R and length L, U the mean flow velocity in the
tube, and D the diffusion coefficient of the particle, then n/nQ is
given by
-- = 1 - 2.56u.2/3 + 1.?, + 0.177v1/3
yu. + 1.?^, + 0.177/v (c.2)
where JU is a dimensionless parameter equal to DL/UR^ . Calculations
have been made for various particle sizes using eq. (C.2) and the re-
-------
-110-
Table C.3 Calculation of Particle Loss Due to Coagulation
3 3
-------
suits are presented in Table C.4. It is seen that the loss of aerosols
(particle diameter > 0.3 urn) due to diffusion is negligible. However,
for the very small particles (particle diameter < 0.01 yum) which fall
into the condensation nuclei category, the loss due to diffusion is ap-
preciable. Nearly all the particles whose diameters are about 0.002yum
appear to be lost due to diffusion. A correction for this effect was
not made to the present data since the size distribution of the conden-
sation nuclei was not measured. The measurable range of the condensation
nuclei counter is from 0.002 u m to 0.1 M-m. The loss due to diffusion
of the larger size particles recorded by the nuclei counter is seen to
be small (Table C.4).
-------
Appendix D.I Ozone Content Along the Tunnel
[N02]
ppm
0.6
0.6
0.6
0.6
0.6
0.6
0.6
0.6
1.0
1.0
1.0
1.0
1.0
1.0
1.0
jre Composition
[C6H10]0
ppm
0.5
1.0
1.25
2.0
3.0
5.0
10.0
20.0
0.5
1.0
2.0
3.0
5.0
10.0
20.0
1
0.09
0.155
0.22
0.23
0.265
0.2
0.13
0.072
0.12
0.15
0.22
0.375
0.29
0.185
0.105
2
0.185
0.345
0.62
0.47
0.46
0.325
0.188
0.102
0.17
0.32
0.76
1.0
0.67
0.37
0.188
Ozone Content (ppm) at Different Sampling Stations
4 6 8 10 12
0.255
0.49
0.70
0.575
0.54
0.31
0.14
0.068
0.157
0.36
0.825
1.0
0.605
0.265
0.124
0^32
0.585
0.75
0.66
0.60
0.305
0.115
0.504
0.157
0.395
0.91
1.0
0.635
0.215
0.088
0.33
0.595
0.71
0.67
0.59
0.28
0.088
0.041
0.145
0.37
0.87
1.0
0.62
0.17
0.058
0.41
0.695
0.82
0.81
0.73
0.33
0.086
0.039
0.158
0.395
0.98
1.1
0.77
0.19
0.058
0.385
0.61
0.42
0.715
0.66
0.30
0.083
0.037
0.145
0.315
0.86
1.0
0.70
0.175
0.055
ro
i
-------
Appendix 0.1 (continued)
Mixture Composition Ozone Content (ppm) at Different Sampling Stations
ppm ppm 1 2 4 6 8 10 12
2.0
2.0
2.0
2.0
2.0
2.0
2.0
2.0
3.0
3.0
3.0
3.0
3.0
3.0
3.0
3.0
3.0
0.5
1.0
2.0
3.0
5.0
10.0
20.0
50.0
0.5
1.0
2.0
3.0
5.0
7.5
10.0
20.0
30.0
0.115
0.115
0.27
0.41
0.65
0.38
0.215
0.078
0.112
0.118
0.168
0.28
0.55
0.85
0.65
0.35
0.24
0.115
0.15
0.585
0.98
1.3
0.81
0.415
0.133
0.081
0.092
0.167
0.52
1.2
1.65
1.3
0.71
0.44
0.071
0.11
0.545
0.91
1.2
0.69
0.29
0.09
0.041
0.047
0.088
0.38
1.05
1.4
1.15
0.56
0.32
0.054
0.092
0.50
0.90
1.2
0.695
0.225
0.068
0.029
0.032
0.062
0.26
0.95
1.2
1.2
0.5
0.23
0.041
0.070
0.41
0.8
1.1
0.66
0.16
0.046
0.0215
0.026
0.046
0.16
0.85
1.0
1.1
0.42
0.15
0.042
0.072
0.41
0.86
1.2
0.82
0.165
0.043
0.022
0:026
0.044
0.13
0.77
1.0
1.05
0.47
0.145
0.037
0.063
0.33
0.73
1.1
0.71
0.135
0.032
0.017
0.02
0.033
0.09
0.73
0.60
1.0
0.32
0.095
U)
I
-------
Appendix D.I (continued)
Mixture Composition Ozone Content (ppm) at Different Sampling Stations
ppm ppm 1 2 4 6 8 10 12
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
0.5
1.0
2.0
3.0
5.0
10.0
12.5
20.0
30.0
50.0
0.07
0.12
0.143
0.17
0.34
0.8
1.8
0.56
0.4
0.23
0.035
0.061
0.074
0.106
0.35
1.75
1.9
1.4
0.84
0.42
0.015
0.027
0.035
0.049
0.148
1.55
1.55
1.25
0.67
0.33
0.01
0.018
0.024
0.034
0.095
1.45
1.45
1.25
0.59
0.25
0.008
0.013
0.018
0.024
0.068
1.3
1.3
1.2
0.46
0.17
0.007
0.012
0.017
0.025
0.068
1.4
1.4
1.35
0.50
0.15
0.007
0.009
0.012
0.018
0.042
0.90
0.80
0.90
0.30
0.09
-p.
I
-------
Appendix D.I (continued)
Mixture Composition Ozone Content (ppm) at Different Sampling Stations
L ~£JQ
ppm
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
L O 1 \J J/v
ppm
0.5
1.0
2.0
3.0
5.0
10.0
15.0
20.0
25.0
30.0
50.0
1
0.054
0.039
0.039
0.036
0.037
0.125
0.35
0.70
0.95
0.70
0.50
2
0.014
0.01
0.009
0.015
0.01
0.055
0.68
1.50
1.70
1.60
1.05
4.
0.0055
0.004
0.004
0.009
0.004
0.027
0.62
1.25
1.4
1.5
0.97
6
0.0035
0.001
0.002
0.007
0.002
0.022
0.53
1.05
1.1
1.4
0.95
8
0.003
0.0
0.001
0.006
0.001
0.017
0.51
0.85
0.9
1.3
0.87
10
0.0025
0.0
0.001
0.005
0.001
0.017
0.55
0.90
0.95
1.4
0.90
12
0.002
0.0
0.001
0.005
0.001
0.012
0.37
0.60
0.70
0.90
0.60
-------
Q
Appendix 0.2 Nuclei (N) and Aerosol (A) Contents (no. cm ) Along the Tunnel
Mixture Composition
Sampling Station
[N02]
ppm
0.6
0.6
0.6
0.6
0.6
0.6
0.6
0.6
1.0
1.0
1.0
1.0
1.0
1.0
1.0
ppm
0.5
1.0
1.25
2.0
3.0
5.0
10.0
20.0
0.5
1.0
2.0
3.0
5.0
10.0
20.0
3
N
250
350
650
400
450
400
< 200
< 200
< 200
250
480
550
450
400
300
A
0.0
0.0
0.0
17
95
170
230
152
0.0
0.0
1
159
389
512
424
5
N
250
400
650
500
500
400
350
^200
<200
300
650
700
550
400
300
A
0.0
0.0
0.0
71
240
356
374
272
0.0
0.0
3
243
555
664
565
7
N
250
550
600
700
550
450
300
<200
<200
350
700
750
520
350
250
A
0.0
0.0
0.0
92
314
424
388
300
0.0
0.0
6
216
572
505
424
9
N
250
550
500
650
650
400
250
<200
300
300
600
650
450
350
350
A
0.0
0.0
0.0
99
339
424
360
293
0.0
0.0
7
219
551
576
530
11
N
300
600
800
600
600
500
250
250
<200
<200
700
700
450
400
300
A
0.0
0.0
0.0
85
293
424
353
279
0.0
0.0
14
184
459
530
671
-------
Appendix D.2 (continued)
Mixture Composition
Sampling Station
[N02]Q
ppm
2.0
2.0
2.0
2.0
2.0
2.0
2.0
2.0
3.0
3.0
3.0
3.0
3.0
3.0
3.0
3.0
3.0
[C6H10]0
ppm
0.5
1.0
2.0
3.0
5.0
10.0
20.0
50.0
0.5
1.0
2.0
3.0
5.0
7.5
10.0
20.0
30.0
3
N
< 200
-------
Appendix D.2 (continued)
Mixture
[N02]0
ppm
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
Composition
[C6H10]0
ppm
0.5
1.0
2.0
3.0
5.0
10.0
12.5
20.0
30.0
50.0
3
< 200
* 200
<200
250
500
1400
2000
1600
1000
650
A
0.0
0.0
0.0
0.0
0.0
155
152
290
300
212
5
N
<2QQ
<200
<200
300
400
1300
1500
1500
800
705
A
0.0
0.0
0.0
0.0
0.0
166
145
240
261
237
*>OIII|J 1 II
N
<200
< 200
<200
300
500
1400
1200
1100
800
680
iy j ia i. n
A
0.0
0.0
0.0
0.0
0.0
124
95
120
198
198
9
N
<200
< 200
<200
300
400
1500
1200
900
850
500
A
0.0
0.0
0.0
0.0
0.0
138
99
134
346
565
11
N
<200
<200
<200
300
500
1600
800
1200
900
600
A
0.0
0.0
0.0
0.0
0.0
124
81
124
636
813
00
-------
Appendix 0.2 (continued)
Mixture Composition
[N02]Q [C6Hlo]0
ppm ppm
Sampling Station
9
A N
11
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
0.5
1.0
2.0
3.0
5.0
10.0
15.0
20.0
25.0
30.0
50.0
<200
< 200
< 200
< 200
< 200
500
1500
2000
2600
2200
1400
0.0
0.0
0.0
0.0
0.0
0.0
0.0
81
60
187
212
<200
<200
<200
<200
<200
500
1300
1600
2400
2200
1200
0.0
0.0
0.0
0.0
0.0
0.0
0.0
74
53
130
191
<200
<200
<200
<200
<200
350
1400
1600
2000
1700
1000
0.0
0.0
0.0
0.0
0.0
0.0
0.0
49
34
53
95
<200
<200
^200
<200
<200
250
1300
1500
2100
1700
1000
0.0
0.0
0.0
0.0
0.0
0.0
0.0
56
35
64
173
<200
< 200
<200
<200
<200
400
1200
1400
2200
1600
1300
0.0
0.0
0.0
0.0
0.0
0.0
0.0
49
31
60
460
I
«J
vo
-------
-120-
Appendix E Estimated Peak Values of Ozone, Nuclei and
Aerosols for Different Initial Mixture Compositions
[N02]Q
ppm
0.6
0.6
0.6
0.6
0.6
0.6
0.6
0.6
1.0
1.0
1.0
1.0
1.0
1.0
1.0
2.0
2.0
2.0
2.0
2.0
2.0
2.0
2.0
ppm
0.5
1.0
1.25
2.0
3.0
5.0
10.0
20.0
0.5
1.0
2.0
3.0
5.0
10.0
20.0
0.5
1.0
2.0
3.0
5.0
10.0
20.0
50.0
[03]
ppm
0.3
0.6
0.7
0.65
0.50
0.33
0.185
0.1
0.17
0.375
0.9
1.0
0.68
0.38
0.19
0.0
0.15
0.585
0.98
1.3
0.81
0.42
0.16
Nuclei
_3
no. cm
250
550
650
580
450
350
250
<200
< 200
350
700
750
550
400
300
<200
< 200
450
700
900
650
450
<: 200
Aerosols
no. cm
0.0
0.0
0.0
99
318
424
389
300
0.0
0.0
14
247
565
636
565
0.0
0.0
0.0
2.0
166
495
565
353
-------
-121-
Appendix E (continued)
ppm °
3.0
3.0
3.0
3.0
3.0
3.0
3.0
3.0
3.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
10.0
ppm °
0.5
1.0
2.0
3.0
5.0
7.5
10.0
20.0
30.0
0.5
1.0
2.0
3.0
5.0
10.0
12.5
20.0
30.0
50.0
0.5
1.0
2.0
3.0
5.0
10.0
15.0
20.0
25.0
30.0
50.0
[03]
ppm
0.0
0.0
0.2
0.52
1.2
1.67
1.33
0.72
0.46
0.0
0.0
0.0
0.0
0.48
1.87
2.0
1.42
0.88
0.46
0.0
0.0
0.0
0.0
0.0
0.0
0.70
1.55
1.8
1.6
1.05
Nuclei
no. cm"-'
<200
< 200
350
600
1000
1200
1100
600
500
< 200
< 200
< 200
400
700
1500
1800
1600
1000
650
< 200
<200
< 200
< 200
400
800
1500
2200
2600
2200
1400
Aerosols
no. cm- 3
0.0
0.0
0.0
0.0
10
46
343
424
406
0.0
0.0
0.0
0.0
0.0
166
152
290
636
707
0.0
0.0
0.0
0.0
0.0
0.0
0.0
81
60
187
240
-------
-122-
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128
TECHNICAL REPORT DATA
(Please read Instructions on the reverse before completing)
1 REPORT NO
EPA-460/3-76-Q05
3 RECIPIENT'S ACCESSION-NO
4 TITLE AND SUBTITLE
Ozone and Particulate Formation In Photochemical
Reactions
5 REPORT DATE
April 1Q75
6 PERFORMING ORGANIZATION CODE
7 AUTHOR(S)
Chi-Hung Shen
George S. Springer
8 PERFORMING ORGANIZATION REPORT NO
9 PERFORMING ORGANIZATION NAME AND ADDRESS
The University of Michigan
Ann Arbor, Michigan 48104
10 PROGRAM ELEMENT NO.
11 CONTRACT/GRANT NO
R-801476
12 SPONSORING AGENCY NAME AND ADDRESS
U.S. Environmental Protection Agency
Office of Air and Waste Management
Office of Mobile Source Air Pollution Control
2565 Plymouth Road
Ann Arbor. Michigan 48105
13 TYPE OF REPORT AND PERIOD COVERED
TOPIC Final
14 SPONSORING AGENCY CODE
15 SUPPLEMENTARY NOTES
16. ABSTRACT
Experiments were performed to investigate the photochemical formation of
nuclei and aerosols in sulfur dioxide and air mixtures; and also the photo-
chemical formation of ozona,. nuclei, and aerosols in cyclohexene, nitrogen
dioxide, and air mixtures. These mixtures were irradiated with ultraviolet
radiation while they flowed at a constant speed through a pyrex tubulation
measuring 15.2 cm inside diameter by 9.12 meters long. The quantities of ozone,
nuclei, and aerosols generated in the gas - air mixtures were measured at
various points along the tubulation by means of a chemiluminescent analyzer, a
condensation nuclei counter, and an aerosol counter.
Photo-oxidation experiments with sulfur dioxide and air mixtures were
performed for five different initial sulfur dioxide concentrations of 0.2, 0.3,
0.5, 0.7, and 1.0 ppm; and for four different relative humidities of 25, 50, 75,
and 100%. Test results showed that the maximum number of nuclei produced was
directly proportional to the initial sulfur dioxide concentration, and to the
square of the relative humidity. There were no measurable amounts of aerosols
observed during the tests.
Experiments with cyclohexene, nitrogen dioxide, and air mixtures were
performed with the initial cyclohexene concentration ranging from 0.5 to 50 ppm;
and the initial nitrogen dioxide concentratinn fmm n fi tn in m
17
KEY WORDS AND DOCUMENT ANALYSIS
DESCRIPTORS
Air pollution
Particulates
Ozone
Photochemical
Aerosols
Nuclei
b IDENTIFIERS/OPEN ENDED TERMS
L COSATI I ield/Gr. up
13B
n DISTRIBUTION STATEM&M
Unlimited
19 SECURITY CLASS (//in Kipar
Unclassified
20 SECURITY CLASS \flinpaKf)
Unclassified
21 NO OF PAGES
135
22 PRICE
EPA Form 2220-1 (9-73)
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