Kinetics and thermochemistry of the R+HBr⇄RH+Br (R=n-C3H7, isoC3H7, n-C4H9, isoC4H9, sec-C4H9 or tert-C4H9) equilibrium
作者:Jorma A. Seetula、Irene R. Slagle
DOI:10.1039/a608224f
日期:——
The kinetics of the reactions of
n-C
3
H
7
, isoC
3
H
7
,
n-C
4
H
9
, isoC
4
H
9
,
sec-C
4
H
9
and
tert-C
4
H
9
radicals, R, with HBr have
been investigated in a heatable tubular reactor coupled to a
photoionization mass spectrometer. The reactions were studied by a
time-resolved technique under pseudo-first-order conditions, where the
rate constants of R+HBr reactions were obtained by monitoring the
decay of the radical as a function of time. The radical was
photogenerated in situ in the flow reactor by pulsed
248 nm exciplex laser radiation. All six reactions were studied
separately over a wide range of temperatures and, in these temperature
ranges, the rate constants determined were fitted to an Arrhenius
expression (error limits stated are 1Ï+Students t
values, units cm
3
molecule
-1
s
-1
):
k(n-C
3
H
7
)=(1.6±0.2)
Ã10
-12
exp[+(5.4±0.2) kJ
mol
-1
/RT],
k(isoC
3
H
7
)=(1.4±0.2)Ã10
-12
exp[+(6.9±0.2) kJ mol
-1
/RT],
k(n-C
4
H
9
)=(1.3±0.2)
Ã10
-12
exp[+(6.4±0.4) kJ
mol
-1
/RT],
k(isoC
4
H
9
)=(1.4±0.2)
Ã10
-12
exp[+(6.1±0.2) kJ
mol
-1
/RT],
k(sec-C
4
H
9
)=(1.4±0.3)
Ã10
-12
exp[+(7.5±0.3) kJ
mol
-1
/RT] and
k(tert-C
4
H
9
)=(1.2±0.3
)Ã10
-12
exp[+(8.3±0.3) kJ
mol
-1
/RT]. The kinetic information was combined
with the kinetics of the Br+RH reactions to calculate the entropy and
the heat of formation values for the radicals studied. The
thermodynamic values were obtained at 298 K using a second-law
procedure. The entropy values and enthalpies of formation are (entropy
in J K
-1
mol
-1
and enthalpy in kJ
mol
-1
): 284±5, 100.8±2.1
(n-C
3
H
7
); 281±5, 86.6±2.0
(isoC
3
H
7
); 329±5, 80.9±2.2
(n-C
4
H
9
); 316±5, 72.7±2.2
(isoC
4
H
9
); 330±5, 66.7±2.1
(sec-C
4
H
9
) and 315±4,
51.8±1.3 (tert-C
4
H
9
). The
CâH bond strength of analogous saturated hydrocarbons derived
from the enthalpy of reaction values are (in kJ mol
-1
):
423.3±2.1 (primary CâH bond in propane), 409.1±2.0
(secondary CâH bond in propane), 425.4±2.1 (primary
CâH bond in n-butane), 425.2±2.1 (primary
CâH bond in isobutane), 411.2±2.0 (secondary CâH
bond in n-butane) and 404.3±1.3 (tertiary CâH
bond in isobutane). The enthalpy of formation values are used in group
additivity calculations to estimate
Î
f
H
298
°
values of
six pentyl and four hexyl free radical isomers.
n-C₃H₇、isoC₃H₇、n-C₄H₉、isoC₄H₉、sec-C₄H₉和tert-C₄H₉自由基R与HBr的反应动力学已在一台可加热的管式反应器中进行研究,并与光电离质谱仪联结。反应通过伪一阶条件下的时间分辨技术进行研究,R+HBr反应的速率常数是通过监测自由基随时间的衰减获得的。自由基是在流动反应器中通过脉冲248 nm的激发态激光辐射原位光生。六种反应都在广泛的温度范围内分别研究,在这些温度范围内,测定的速率常数拟合到Arrhenius表达式(所声明的误差限是1σ+学生t值,单位为cm³ molecule⁻¹ s⁻¹):
k(n-C₃H₇) = (1.6±0.2) × 10⁻¹² exp[+(5.4±0.2) kJ mol⁻¹ /RT],
k(isoC₃H₇) = (1.4±0.2) × 10⁻¹² exp[+(6.9±0.2) kJ mol⁻¹ /RT],
k(n-C₄H₉) = (1.3±0.2) × 10⁻¹² exp[+(6.4±0.4) kJ mol⁻¹ /RT],
k(isoC₄H₉) = (1.4±0.2) × 10⁻¹² exp[+(6.1±0.2) kJ mol⁻¹ /RT],
k(sec-C₄H₉) = (1.4±0.3) × 10⁻¹² exp[+(7.5±0.3) kJ mol⁻¹ /RT],
k(tert-C₄H₉) = (1.2±0.3) × 10⁻¹² exp[+(8.3±0.3) kJ mol⁻¹ /RT]。
这些动力学信息与Br+RH反应的动力学结合,用于计算所研究自由基的熵和形成热值。这些热力学值是在298 K下通过第二法则程序获得的。熵值和形成焓为(熵单位为J K⁻¹ mol⁻¹,焓单位为kJ mol⁻¹):284±5, 100.8±2.1 (n-C₃H₇);281±5, 86.6±2.0 (isoC₃H₇);329±5, 80.9±2.2 (n-C₄H₉);316±5, 72.7±2.2 (isoC₄H₉);330±5, 66.7±2.1 (sec-C₄H₉) 和 315±4, 51.8±1.3 (tert-C₄H₉)。
根据反应焓值推导的类似饱和烃的C-H键强度为(单位为kJ mol⁻¹):423.3±2.1(丙烷的原级C-H键),409.1±2.0(丙烷的次级C-H键),425.4±2.1(正丁烷的原级C-H键),425.2±2.1(异丁烷的原级C-H键),411.2±2.0(正丁烷的次级C-H键)和404.3±1.3(异丁烷的三级C-H键)。形成焓值用于分组加法计算,以估计六个戊基和四个己基自由基异构体的ΔfH₂₉₈°值。