KINETIC AND THERMODYNAMIC PARAMETERS
1923
higher than 300°C. At the same time, the content of using the KINET 0.8 mathematical modeling program.
partially hydrogenated trans-isomer compounds is This program optimizes the values of the constants up
greatly superior to the content of cis-isomer derivatives to the best agreement between calculated and experi-
in the total volume over the given range of temperatures. mental kinetic curves. Using the experimental data pre-
The rate constants of all elementary acts of this reaction sented above, the optimized scheme of perhydro-m-ter-
were determined from the obtained experimental data phenyl dehydrogenation takes the form
cis-
C18H32
k1
k−1
k2
k3
k4
k−5 k5
C18H26 + 3H2
C18H20 + 3H2
C18H14 + 3H2.
k−3
k−4
k−2
C H
18 32
trans-
Dehydrogenation proceeds with the simultaneous and values on the inactive catalyst at 300°C and were KI =
mutual transformations of cis- and trans-isomers of
perhydro-m-terphenyl and the formation of the final
m-terphenyl (С18Н14) and the products of partial
hydrogenation, which contain one unsaturated six-
membered ring (С18Н26, dicyclohexylbenzene and
1-cyclohexyl-3-phenylcyclohexane) or two unsatu-
rated rings (С18Н20, 1,3-diphenylcyclohexane and
3-cyclohexylbiphenyl).
It is known that differential equation systems
describing the kinetics of chemical reactions have ana-
lytical solutions in the simplest cases. We therefore
used a simplified model of perhydro-m-terphenyl
dehydrogenation (A) first. All elementary acts of the
reaction were reduced to three: mutual isomerization
of the cis- and trans- perhydro-m-terphenyl (I, cis-
С18H32 ↔ trans-C18H32); 1,3-dehydrogenation of the
1.93 and K−I = 0.52, respectively; KI = 9.38 and K–I
=
0.11 when Т = 320°C. At the same time, KII/KIII ~ 2 at
both temperatures.
Simplified dehydrogenation model (A) considered
above was subsequently complicated by adding experi-
mental data for other products obtained from the reac-
tion. In enhanced model (B), we considered reaction
acts I, cis-С18H32 ↔ trans-C18H32); II, cis-С18H32 ↔
+
Н2); III, trans-C18H32
H2); IV, cis-C18H26
↔
↔
(cis-С18Н26
∑
∑
∑
∑
+
(trans-С18Н26
+ СnHm + H2); and V, trans-C18H26 ↔
(C18H20−14
+ СnHm + H2), with allowance in partic-
(C18H20−14
ular for the formation of two isomers of a partial
hydrogenation product (С18Н26). The comparative
range of equilibrium constants calculated using this
model for catalyst no. 3 at Т = 300°C was KI = 1.69 <
cis-isomer (II, cis-С18H32 ↔
+ СnHm +
(C18H26−14
∑
H2)); and the dehydrogenation of the trans-isomer
KII = 17.15 < KIII = 25.34 ! KV = 230.17 ! KIV
=
(III, trans-C18H32 + СnHm + H2)).
↔
(C18H26−14
∑
523.31. The order of the constants obtained for catalyst
no. 2 was the same. A slight increase in equilibrium
constant KI was observed on both nos. 2 and 3 as the
temperature rose. At the same time, ratio KIV/KV grew
significantly, reaching its maximum at Т = 320°C. KII
tended toward zero as the temperature rose and KIII
fell, reaching its maximum at Т = 310°C.
The cis- and trans-isomers of perhydro-m-terphenyl
were considered separately as substrates, and the sums
of all products (С18Н26, С18Н20, and С18Н14) and co-
products (СnHm) of dehydrogenation were (along with
hydrogen, expressed in g/(L h)) considered products
of the reaction. This model allowed us to assess most
accurately the effect cis-trans-isomerization had on
dehydrogenation.
Model (C) includes all products of the reaction
according to the optimized scheme of perhydro-m-ter-
phenyl dehydrogenation given above and can be written
Equilibrium constants were calculated from the
determined rate constants of the elementary acts of the
reaction. The equilibrium constants of the mutual
isomerization of cis- and trans-isomers on catalyst
as I, cis-С18H32 ↔ trans-C18H32; II, cis-С18H32
↔
↔
↔
+
+
Н2); III, trans-C18H32
H2); IV, cis-C18H26
(cis-С18Н26
∑
∑
∑
no. 2 at 260°C were estimated at KI = 7.90 and K−I
=
+
(trans-C18H26
0.013. The equilibrium constants of the dehydrogena-
tion of cis- and trans-isomers were KII = 293.07 and
KIII = 252.61, respectively. The values of all equilibria
constants grew as the temperature was raised to Т =
+ H2); V, trans-C18H26 ↔
(C18H20
(C18H20
∑
H2); and VI, C18H20 ↔
+ СnHm + H2). The
comparative range of the equilibrium constants calcu-
(C18H14
∑
300°C, and were KI = 11.39, KII = 1014.52, and KIII
=
lated using this model at Т = 260°C for catalyst no. 2
492.46, respectively. They remained virtually the same
as the temperature was raised further. The calculated
equilibrium constants of the transformation of cis-per-
was KI = 2.13 < KII = 19.22 < KVI = 31.32 < KIII
=
35.95 < KV = 58.62 ! KIV = 229.38. This range
hydro-m-terphenyl into trans-isomer attained lower changes somewhat as the temperature rises to Т =
RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY A Vol. 90 No. 10 2016