´
139
D. Sarzynski et al. / Chemical Physics Letters 476 (2009) 138–142
where kA and kB are the rate constants for the competing reaction
channels, [AH]0 and [BH]0 the starting concentrations of AH and
BH, and [AH]t and [BH]t the concentrations of the reactants at a gi-
ven time t. Eq. (4) is valid only when both reactants, AH and BH, are
consumed only in the reaction with chlorine atoms. The plot of
ln([AH]0/[AH]t) vs. ln([BH]0/[BH]t) should therefore be linear, which
enables a determination of the rate constant ratio kA/kB as the slope
and, finally, kA if the absolute value of kB is known with sufficient
accuracy at the given temperature.
The results of these measurements were analyzed on the basis
of Eq. (4) with the reactant AH (CH3Cl or CD3Cl), the reference reac-
tant BH (CH3Br), and the rate constants kA (kH or kD) and kB = k3. All
experiments were conducted at a high concentration of molecular
with chloromethane and D-chloromethane were investigated with
bromomethane used as the reference at five temperatures over the
temperature range of 298–527 K. Temperature was maintained by
a power regulator connected to a temperature regulator equipped
with a Pt-100 resistance sensor placed inside the chamber of the
electrically heated block. A chrome–nickel thermocouple, used
for temperature measurements, was fixed at half length of the side
wall of the reactor. The temperature of the reactor was constant to
within 0.5° during the experiments. The reactants were introduced
into the reaction cell by expansion, starting from CH3Cl or CD3Cl
followed by CH3Br and the mixture Cl2/N2. At the end, N2 was
introduced to reach a total pressure of 100 Torr.
All experiments were conducted at a total pressure of about
100 Torr, while the partial pressure was varied from 9 to 10 Torr
for Cl2 and from 3 to 5 Torr for CH3Cl/CD3Cl and CH3Br. The Cl2
mixtures in N2 were prepared (at least 24 h prior to their first
use) from pure Cl2 (>99.5%) and N2 (>99.995%) and stored in 4L
blackened Pyrex bulbs. The reactants CH3Cl, CD3Cl, and CH3Br were
expanded under vacuum from the producers’ containers into light-
tight Pyrex bulbs for storage. Pressure measurements were carried
out with a 127A MKS Baratron capacity manometer equipped with
two gauges (0–100 and 0–1000 Torr).
A Xe arc lamp (Osram XBO 150 W/1 OFR) served as the light
source. The optical train consisted of a manually operated shutter,
a condensing lens, a variable-width slit, and a monochromator
with the Czerny-Turner optical system (dispersing element: a
1200 line/mm grating and aperture F/4, range: 200–900 nm, band
variability: 2–20 nm) of a Hitachi MPF-4 fluorescence spectropho-
tometer. The light from the monochromator was introduced into
the cylindrical reactor through its bottom window and, after pass-
ing through the reactor, reflected back by a mirror placed above the
upper window of the reactor. The reaction cell, feed lines, and the
optical assembly were housed in a light-tight enclosure to prevent
photolysis initiated by room or stray light. The absence of such
reactions was confirmed by repeated blank analysis. Chlorine
atoms were generated in their ground state (Cl(2P3/2) > 99%,
Cl(2P1/2) < 1% at 298 K) [24] by the photolysis of Cl2 at 420 nm or
by thermolysis at 527 K. The irradiation time (0.25–45 min) was
varied depending on the reaction temperature in order to obtain
appropriate conversion of the reactants.
Quantitative analysis of the products was performed by a gas
chromatograph (HP, Model 5890 Series II) equipped with a thermal
conductivity detector. All separations were done with a 25 m
long ꢀ 0.53 mm PoraPlot Q Chrompack capillary column using
temperature programming. Helium was used as the carrier gas
and a 2 ml thermostated stainless steel gas loop as the sampling
unit. Before and after every experiment, calibration of the reac-
tant’s peak area vs. its partial pressure in the reactor was con-
ducted by GC analysis. The reactants used in this study had the
following stated minimum purities CH3Br (>99.5%), CH3Cl
(>99.5%), and Cl2 (>99.5%) from Aldrich, CD3Cl (>99.5%) from Isotec
Inc., and N2 (99.999%) from BOC. All reactants were used directly
from the producers’ containers.
chlorine Cl2.
A large excess of Cl2 causes the reactions of
Cl2 + CH2Cl/CD2Cl/CH2Br producing chlorine atoms to be the fastest
secondary processes in the reaction system. Other radical pro-
cesses, such as radical–radical recombinations and reactions of
radicals with the reactants CH3Cl, CD3Cl, and CH3Br proceed con-
siderably more slowly. The reverse reactions CH2Cl/CD2Cl + HCl/
DCl (ꢁ1,ꢁ2) and CH2Br + HCl (ꢁ3), which reproduce the parent
compounds CH3Cl/CD3Cl and CH3Br, are very slow [21,22] and
hence are considered unimportant processes even at a higher de-
gree of conversion of the reactants. The influence of secondary rad-
ical reactions on the kinetics of the primary H-abstraction
reactions (1–3) is therefore negligible under the reaction condi-
tions applied in our investigation.
Preliminary tests showed that a ca. 10 min mixing time was suf-
ficient for the reactants in the cell to reach ambient temperature. In
order to test possible photolysis or thermal decomposition of the
organic reactants, mixtures of the organics were irradiated in the
absence of Cl2 at the highest temperature used for more than
60 min. No photolysis or thermal reaction of CH3Cl, CD3Cl, and
CH3Br was observed. Prior to each set of experiments at tempera-
tures above 298 K, tests for a dark reaction were performed. A mix-
ture of the organic species and molecular chlorine was allowed to
stand in the dark for at least 60 min. At temperatures of 448 K and
lower, the reaction of the organic species with molecular chlorine
was negligible in the absence of photolytic light. No products of the
thermal reaction were detected. At the highest temperature of this
study (527 K), thermolysis of Cl2 occurred. This allowed us to uti-
lize the thermolysis of Cl2 as an additional source of Cl atoms at
this temperature. Photolysis of only Cl2 in the reactor ensured that
CH3Cl or CD3Cl were not produced by the reaction of impurities on
the wall of the reactor.
The values of the rate constants for the studied reactions were
determined at five temperatures in the temperature range of 298
to 527 K at a nearly constant total pressure of 100 Torr. Fig. 1
shows sample kinetic data obtained from the experiments at
381 K plotted according to Eq. (4) for the reaction of Cl with CH3Cl
and CD3Cl measured with respect to CH3Br. The linearity of the
plots shown in Fig. 1 supports the assumption that the organic
reactants are consumed only in reaction with chlorine atoms. The
kinetic expression derived by Piety et al. [23] describing the tem-
perature dependence of the rate constant k3 for the reaction
CH3Br þ Cl ! CH2Br þ HCl as k3 = 3.32 ꢀ 10ꢁ12 ꢀ (T/298)1.42
ꢀ
exp(ꢁ605/T) cm3 moleculeꢁ1 sꢁ1 was utilized in our experiments.
The results of the measurements were analyzed using a weighted
least squares procedure which included uncertainties in the reac-
tant concentrations and allowed a zero-point offset. Values of the
ratios kH/k3 and kD/k3 as well as the absolute values of kH and kD
at five temperatures (298, 325, 381, 448, and 527 K) are gathered
in Table 1.
3. Results and discussion
The relative rate method was employed in these kinetic investi-
gations. This experimental approach is based on the competition
between two reactants reacting with the same reactive species.
The concentrations at any given time of two reactants, AH and
BH, reacting simultaneously with chlorine atoms are described
by the relation:
Fig. 2 shows the Arrhenius plots for the reactions studied. The
experimental points are only slightly scattered around the regres-
sion lines, which indicates the validity of the experimental meth-
½AHꢃ0 kA
¼
½BHꢃ0
½BHꢃt
ln
ꢄ ln
ð4Þ
½AHꢃt kB