THE INFLUENCE OF A MEDIUM ON THE RATE OF THE REACTION
Table 4. Solvent parameters according to Palm–Koppel [20]
21
Solvent
Decane
–logk1
–logk3
Y
P
E
B
6.3098
6.4815
6.1871
6.4559
6.6576
5.8794
5.1427
5.3665
5.5935
4.9066
0.1989
0.3411
0.4286
0.4708
0.4788
0.3319
0.3888
0.4129
0.4004
0.4147
0
0
Phenetole
0.8
0
158
28
o-Dichlorobenzene
Benzonitrile
0
155
67
Nitrobenzene
0
suggested in [17]. For this purpose, the first equation
from system (1) is reduced to the initial conditions
It was found for the dissociative process constant
that only polarizability and basicity substantially influ-
enced the k1 value. This dependence was described by
the equation (r = 0.999)
W0 = –dcU/dt(t = 0) = k1cU + k3cU cA
0
0
0
or
logk1 = – 7.02 0.02
(3)
W0, sp = W0/cU = k1 + k3cA ,
(2)
+ (2.14 0.06)P – (0.0019 0.0001)B.
0
0
where k1 and k3 are the rate constants for the dissocia-
The correlation equation for the bimolecular reaction
characterized by the k3 constant had the form (r = 0.958)
tive and associative alcoholysis, respectively, and cU
0
and cA are the initial urea and alcohol concentrations.
0
logk3 = – 7.75 0.70
(4)
Based on these considerations, the unknown rate
constants for mono- and bimolecular alcoholysis were
determined in a series of experiments in inert solvents
at a fixed temperature with varying the initial alcohol
concentration. The kinetic curves were processed to
find the specific initial rates of the reaction (W0) at the
corresponding initial concentrations of n-octanol (see
Table 2).
The results obtained showed that the specific rate of
the alcoholysis of N,N'-dioctylurea linearly depended
on the initial concentration of octanol, which substanti-
ated the suggestion that the reaction followed parallel
mono- and bimolecular routes. Dependence (2)
remained valid for various solvents (see Fig. 1). A cor-
relation analysis of (2) was performed to find the sought
rate constants for the dissociative and associative pro-
cesses k1 and k3 (Table 3).
An analysis of the kinetic data shows that the rates
of the dissociative and associative processes character-
ized by the k1 and k3 constants are commensurate,
which is evidence of the occurrence of alcoholysis as
both the dissociation of initial urea and bimolecular
transformation. It follows than none of the mechanisms
predominates.
The observed alcoholysis constants were correlated
with solvent properties at 170°ë according to the
Palm–Koppel equation
+ (5.61 1.82)P + (0.54 0.16)E.
Note that we were able to construct these correlations
only after excluding the data on nitrobenzene.
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logk = logk0 + yY + pP + eE + bB,
11. A. A. Orlova and S. N. Mantrov, in Proceeding of All-
Russia Scientific-Engineering Conference “Advances in
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where Y, P, E, and B are the polarity, polarizability,
acidity, and basicity of the solvent (Table 4); y, p, e, and
b are the sensitivities of the reaction to changes in the
corresponding medium parameters; and k0 is the rate
constant in the gas phase.
12. A. J. Deutschman, U.S. Patent no. 2677698 (1954).
RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY A Vol. 81 No. 1 2007