Kinetics of the Gas-Phase Reaction BrNO2 + NO
J. Phys. Chem. A, Vol. 102, No. 44, 1998 8629
olefin-Br addition product by addition of O2. There was no
difference in the lifetime of BrNO2 whether trans-2-butene was
present or not. Since the Br atoms scavenged by trans-2-butene
could have been reliberated in the course of the bromine atom
initiated degradation of trans-2-butene, acetaldehyde (3.5 × 1015
molecule cm-3) was added in place of trans-2-butene in three
experiments since Br atoms are irreversibly converted to HBr
by the reaction with acetaldehyde
k-2b,298K ) 1.2 s-1 can be derived for 298 K and M ) N2.3
Frenzel et al. analyzed their data on the thermal decay of BrNO2
at different temperatures as a superposition of homogeneous
and heterogeneous decomposition, characterized by different
activation energies. By fitting their data with a sum of
exponential terms, they arrived at an Arrhenius expression for
the homogeneous decomposition for 1 bar, M ) He, yielding
k-2a ) 4 × 10-5 s-1 at 298 K. From the falloff curves of
Kreutter et al. for the reverse reaction, k2a(N2)/k2a(He) )
k-2a(N2)/k-2a(He) ) 1.6 can be derived. Combining this ratio
with k-2a (M ) He) from Frenzel et al., k-2a (M ) N2) ) 6.4
× 10-5 s-1 results. The difference of the rate constants derived
above for k-2b and k-2a is considered to reflect the difference
in bond energies in BrONO and BrNO2. This conclusion relies
on the assumption that both reactions have a similar preexpo-
nential factor of the high-pressure rate constant and a comparable
falloff at atmospheric pressure. Setting ln(k-2b/k-2a) )
ln(1.2/6.4 × 10-5) ) -∆(∆H°r,298)/RT, ∆H°r,298(Br-NO2) -
∆H°r,298(Br-ONO) ) ∆H°f,298(BrONO) - ∆H°f,298(BrNO2) ∼
(24 ( 3) kJ mol-1 is derived. This value compares favorably
with the ab initio value of (27 ( 4) kJ mol-1 calculated by
Lee18 for the difference of the heats of formation of trans-
BrONO and BrNO2. From this difference of bond energies and
the above value for the heat of formation of BrONO,
∆H°f,298(BrNO2) ) (43 ( 6) kJ mol-1 is calculated. According
to the previous discussion, the findings of the experimental
studies of Kreutter et al., Frenzel et al., Mellouki et al., and the
present work on the Br + NO2 system are consistent with each
other and with the theoretical work of Lee provided that the
main product of the Br + NO2 recombination is the isomer
BrONO and that BrNO2 is thermally much more stable than
BrONO.
Br + CH3CHO w HBr + CH3CO
(8)
-1
(k8,298 ) 3.9 × 10-12 cm3 molecule
s-1 23). In these
experiments, synthetic air was used as a buffer gas in order to
scavenge the acetyl radicals formed in reaction 8 and to prevent
them from regeneration of Br atoms via the reaction
CH3CO + Br2 w CH3C(O)Br + Br
(9)
(k9,298 ) 1.08 × 10-10 cm3 molecule-1 s-1 24). In the presence
of synthetic air, the acetyl radicals react via the reactions
CH3CO + O2 (+M) w CH3C(O)O2 (+M)
(10)
CH3C(O)O2 + NO2 (+M) w CH3C(O)O2NO2 (+M) (11)
Since the first-order loss rate constants of BrNO2 at identical
reaction conditions varied within a factor of 2-3, these
experiments were conducted in such a way that the excess of
acetaldehyde was added in the middle of a long observation
period. There were indications for a slight increase of the first-
order loss rate constant after the addition of CH3CHO by a factor
of e2; however, this effect was difficult to quantify. Since it
was considered to be safe that the scavenging of Br atoms by
acetaldehyde is irreversible, these latter experiments were used
to derive a rigorous upper limit for k-2a at 298 K and
atmospheric pressure (M ) synthetic air) of k-2a e 4.0 × 10-4
s-1 (full circles in Figure 3).
The lifetimes of BrNO2 in our reaction chamber are larger
by 2 orders of magnitude as compared to the observation times
applied in the experiments for the reaction of BrNO2 with NO;
i.e., the loss of BrNO2 in the presence of NO is due to the
reaction of BrNO2 with NO and not to the reaction sequence
The results of the present work on the thermal lifetime of
BrNO2 are shown in Figure 3, together with the results of
Kreutter et al.3 and Frenzel et al.4 The first-order decay rate
constants of BrNO2 from the present work are consistent with
the results of Frenzel et al.4 and extend their temperature range
to lower temperatures. At present the origin of the discrepancies
between these low upper limits of k-2a and the high values
derived from the work of Kreutter et al. is not completely clear.
Probably, the BrONO isomer was primarily formed in the
reaction system of Kreutter et al.,3 as was already suggested by
Frenzel et al. BrONO was then thermally stable on the short
time scale of their experiments below 350 K, and regeneration
of Br atoms occurred above 350 K owing to thermal decom-
position of BrONO. The much longer lifetime of BrNO2 as
determined in the work of Frenzel et al. and the present work
can then be explained by the larger bond energy of BrNO2 as
compared to BrONO, which is also suggested by the theoretical
work of Lee.18 This being true, the value for the enthalpy of
formation of BrNO2 derived by Kreutter et al.3 and adopted by
the most recent JPL25 and IUPAC23 reviews should be assigned
to BrONO rather than BrNO2 (after reevaluation of the entropy
contribution). The most direct thermochemical result of Kreutter
et al., which is largely independent of the correct isomer
assignment, is the second-law value for the reaction enthalpy
of reaction 2 (∆H°r,298 ∼ ∆H°r,401 ) 78 ( 3 kJ mol-1, see Figure
5 of ref 3). If this value is assigned to the formation of BrONO
rather than BrNO2, ∆H°f,298(BrONO) ) (67 ( 3) kJ mol-1
results. From the rate parameters presented in their paper,
BrNO2 (+M) w Br + NO2 (+M)
Br + NO (+M) w BrNO (+M).
(-2a)
(12)
Another possible loss process of BrNO2 is the self-reaction
of BrNO2:
BrNO2 + BrNO2 w Br2 + 2NO2
(13)
Such a reaction is known for INO2 (k298K(INO2 + INO2 w I2
+ 2NO2) ) 4.7 × 10-15 cm3 molecule-1 s-1 23,26) but not for
ClNO2. However, reaction 13 must be of second order in
BrNO2, different from the first-order rate law observed in the
present work. In addition, the long lifetime of BrNO2 in the
dark shows that reaction 13 cannot be important on the time
scale of the present experiments.
Behavior of BrNO2 in the Presence of NO. The following
conclusions are drawn from the two previous sections:
(i) Probably, only a small fraction of the Br + NO2
recombination leads, at room temperature, to the isomer BrNO2.
Assigning the thermal decomposition rate constants of BrNO2
derived by Kreutter et al.3 to the isomer BrONO, BrONO would
be too unstable in the present reaction system to accumulate to
nonnegligible concentrations; i.e., the only important species
to react with NO is the isomer BrNO2.
(ii) BrNO2 is thermally stable under the conditions of the
present experiments, i.e., the loss of BrNO2 in the presence of
NO can be assigned to its bimolecular reaction with NO.