In the detritiation of halotane-t the slopes of the plots
log(k2/molϪ1 dm3 sϪ1) vs. x(DMA or DMPU) are also presented
in Table 2. In aqueous DMPU the slope is higher than in the
corresponding DMA system by a factor of 1.33 which means
that the increase in basicity is significantly higher in cyclic
urea. In the detritiation of chloroform-t the corresponding
factor 1.29 is equal within experimental error. Kinetic basicity
seems thus to be independent of the carbon acid used in the
measurements. In addition, the slopes in Table 2 reveal that the
rate increase as a function of x(amide or urea) is much higher
in the detritiation of halotane-t than in the detritiation of
chloroform-t, the slopes differing by factors of 1.22 (DMA)
and 1.25 (DMPU). The higher rate increase in the detritiation
of halotane-t can be discussed in the terms of the Brønsted and
Bjerrum eqn. (4) where γ(HOϪ), γ(ST) and γ‡ are the activity
to solvent basicity is mainly due to the hydroxide-ion-like
transition state which means that the activity coefficient ratio
γ(HOϪ)/γ‡ in eqn. (4) increases only slightly with the mole
fraction of organic component in the reaction mixture.20 In
aqueous DMI the rate coefficients even decrease slightly when
x(DMI) < 0.1. Thus it is evident that in these mixtures changes
in activity coefficients γ(ST) must be taken into account in
addition to those of charged species in accordance with kinetic
results in aqueous sulfolane.25
Estimation of equilibrium basicities from kinetic results
As seen above, changes in basicity of aqueous amides and ureas
can be discussed solely on the basis of rate coefficients for
detritiation reactions. If, however, comparison with equilibrium
basicities HϪ is desired, linear free energy correlations can be
used for this purpose. In the following we discuss only the cases
k = k0{γ(HOϪ)γ(ST)/γ‡}
(4)
where deviations from the linearity of log (k2/molϪ1 dm3 sϪ1
)
vs. x(amide or urea) are not observed. In addition, since the
detritiation of chloroform-t and halotane-t could be studied
only in mixtures with a very low x(urea or amide), HϪ values
were not extrapolated from those data with the exception
of chloroform-t in aqueous TMU. It has been observed
previously20 that in the detritiation of different carbon acids
in aqueous DMSO the logarithms of rate coefficients depend
linearly on both HϪ and x(DMSO) of the solvent.7 These linear
free energy correlations can be applied also when the solvent
system for the detritiation reaction is changed from aqueous
DMSO to aqueous urea or amide.
The detritiation of chloroform-t in aqueous TMU is
discussed first because equilibrium basicities of this system
are available for comparison.6 Using previous data20 for the
detritiation of chloroform-t in aqueous DMSO, relation (5)
is obtained. From the kinetic data presented in Table 2 for
the detritiation of chloroform-t in aqueous TMU the linear
correlation (6) was observed. Eqns. (5) and (6) give the relation
coefficients of hydroxide ion, substrate and transition state of
the reaction as compared with that in water. In both reactions
changes in activity coefficient of hydroxide ion are equal. In
addition, solvent effects on neutral substrate, chloroform or
halotane, can be excluded as compared to those of charged
species, hydroxide ion and transition state of the reaction.
The observed difference in the susceptibility to solvent basicity
must be due to the changes in the activity coefficients of the
transition states. It can be assumed that in the transition state
of the detritiation of halotane-t the degree of triton transfer is
higher than in the case of chloroform-t which means that in the
detritiation of halotane-t the transition state is less hydroxide-
ion-like than in the detritiation of chloroform-t. As changes
in activity coefficients of hydroxide ion and transition state of
the reaction with x(urea or amide) are parallel, they compen-
sate for each other partially depending on the structure of
the transition state. For halotane-t this compensation may be
lower and therefore a higher increase in rate coefficients is
expected.
log (k2/molϪ1 dm3 sϪ1) =
In the detritiation of methoxyflurane-t the slopes of the plots
log (k2/molϪ1 dm3
s
Ϫ1) vs. x(urea), 9.59 0.18 (DMI) and
(1.076 0.023)HϪ Ϫ (13.73 0.29) (5)
9.56 0.05 (DMPU) (Table 2) are equal within experimental
errors and thus the increase in basicity is also equal. This result
is well-founded because the cyclic ureas studied are structurally
closely related. Therefore, at first sight, it seems surprising that
in the detritiation of chloroform-t in aqueous DMI the slope
of the plot log (k2/molϪ1 dm3 sϪ1) vs. x(urea) is lower than in
aqueous DMPU: 14.60 (DMPU) and 11.4 (DMI). Kinetic
measurements for the detritiation of chloroform-t have, how-
ever, mainly been performed in the range x(DMI) = 0–0.1 where
the rate increase is exceptionally low also on grounds of kinetic
results for methoxyflurane so that the point x(DMI) = 0 has
been excluded in Fig. 2.
In the detritiation of the haloalkanes studied the suscepti-
bility of reaction rate to solvent basicity can be compared,
for instance, on the basis of kinetic data in aqueous DMPU
(Table 2). The slopes of the plots (18.3, 14.60 and 9.56) decrease
in the series halotane, chloroform and methoxyflurane. As
discussed above, this means that the hydroxide ion like structure
of the transition state increases in the same series.
To obtain additional information on the basicity of aqueous
acyclic and cyclic ureas, the detritiation of acetophenone-t was
studied in these solvent systems. As the susceptibility of this
reaction to solvent basicity is relatively low the measurements
could be extended even to a mole fraction of about 0.7. These
results also indicate that the increase in basicity is similar
in aqueous DMI and DMPU as the slopes of the plots
log (k2/molϪ1 dm3 sϪ1) vs. x(DMI or DMPU), 4.41 0.04 and
4.62 0.10, are equal within experimental errors. In aqueous
TMU the rate increase is slightly lower, as shown by the slope
4.043 0.004. All these slopes are, however, significantly lower
than in the detritiation of haloalkanes. This lower susceptibility
log (k2/molϪ1 dm3 sϪ1) =
(12.32 0.17)x(TMU) Ϫ (0.803 0.019) (6)
between x(TMU) and HϪ of the solvent. Kinetic measurements
for the detritiation of chloroform-t were performed only in
mixtures with x(TMU) < 0.188 and the equilibrium basicities6
have been determined after x(TMU) > 0.1844. Therefore, it
is reasonable to extrapolate the HϪ values from eqns. (5) and
(6) to the mixture with x(TMU) = 0.1844 where equilibrium
and kinetic measurements overlap. The HϪ value 14.11 (Table 3)
obtained by kinetic method is, within experimental errors, equal
to the equilibrium HϪ value 14.19 determined by Bowden and
Prasannan.6 Thus the method used in the present work seems to
give reliable results.
For the detritiation of acetophenone-t the linear relationship
(7) has been obtained in aqueous DMSO at 298.15 K.20 From
the kinetic results presented in Table 2 for the detritiation of
acetophenone-t in aqueous DMPU the linear correlation (8)
can be derived. The equality of eqns. (7) and (8) again gives a
log (k2/molϪ1 dm3 sϪ1) =
(0.433 0.004)HϪ Ϫ (7.48 0.06) (7)
log (k2/molϪ1 dm3 sϪ1) =
(4.62 0.10)x(DMPU) Ϫ (2.27 0.03) (8)
relation between HϪ and solvent composition. The HϪ values
shown in Table 3 were calculated in the mole fraction range
0–0.6 where kinetic measurements have been performed. These
J. Chem. Soc., Perkin Trans. 2, 1999, 169–174
173