The pH values were measured by using a glass electrode at the
same temperature and ionic strength as those of the rate
measurements. The rate constants were calculated by least-
squares analysis, assuming the reaction to be first-order in the
starting phenylurea. The fitting of the experimental data was
satisfactory for all samples.
The temperature effect on the reaction rate was analyzed by
performing kinetic runs in the ranges 30–70 ЊC, 0.01–0.5 M
phosphate buffer, fraction of the free base in the buffer = 0.6,
and calculating the pre-exponential factor and activation
energy from the linear regression of ln(k) versus 1/T by least-
squares methods. No correction was made for the temperature
dependence of the buffer pH value because in phosphate buffer
the rate constant depends very little on pH. The entropy and
enthalpy of activation were calculated by the standard formulae
10
derived from the absolute theory of reaction rates.
Characterization of the reaction products
The compounds of the degradation reactions of I, II, III and
IV in aqueous solutions were identified by comparison with
HPLC traces and UV spectra of pure samples. The compound
obtained from I by spontaneous degradation in water–
methanol mixtures and by the reaction of 3,4-dichloro-
Fig. 1 pH rate profile for the degradation reaction of 3-(3,4-
dichlorophenyl)-1,1-dimethylurea (diuron), at T = 60 ЊC and µ = 1 M
(KCl). k is the first-order rate constant at zero buffer concentration.
0
1
phenylisocyanate with pure ethanol was identified by H- and
pH dependence of the reaction rate
13
C-NMR and mass spectra.
Fig. 1 shows a plot of k versus pH for the phenylurea diuron, 3-
o
(
3,4-dichlorophenyl)-1,1-dimethylurea, where k is the observed
pK values
o
a
first-order rate constant extrapolated to zero buffer concen-
tration. In the pH range 5–9, the rate constant is substantially
pH-independent, while at lower and higher pH values the slope
of the curve markedly increases, suggesting an efficient catalysis
by hydronium ion at low pH and by hydroxide ion at high pH.
The equilibrium constants for the acid–base reactions of the
(
Ϫ)
Aryl-NH–CO–N< group to Aryl-N –CO–N< and Aryl-NH–
ϩ
CO–NH < of I, II, III and IV were calculated by the computer
11
program SPARC developed by Carreira. This program, based
on structure activity relationships and perturbed molecular
At extreme pH values (<2 or >12), the k value is again con-
o
orbital theory, enables the calculation of the ionization pK s for
2
2
a
stant. The value of the pH at the inflection point (d k/dpH = 0)
a large number of organic compounds from the molecular
structures.
observed at basic pH (pH = 11.5 ± 0.3) was close to, although
not coincident with, the pK value computed for the deproton-
a
ation equilibrium of I at the same temperature as for the
kinetic experiments and zero ionic strength (pKa = 10.3).
Similar pH–rate constant plots were observed for the other
phenylureas studied in this work.
Results
Under all the experimental conditions, phenylureas underwent
spontaneous irreversible hydrolysis at an appreciable rate giving
detectable amounts of a single aromatic product, which was
identified as the corresponding aniline derivative by HPLC
co-injection of pure compounds and mass spectrometry tech-
niques. The sum of the area of the phenylurea peak plus that of
the aniline derivative, corrected by the different absorbances
at the wavelength of the spectrometer detector, was constant
during the kinetic runs, indicating the absence of reaction
intermediates in an appreciable amount. Moodie and co-
Temperature dependence of reaction rate
The Arrhenius plot for the limiting rate constants reached at
high buffer concentrations is linear in the temperature range
studied. The pre-exponential factor and the apparent activation
Ϫ1
parameters for I are respectively: ln A = 38 ± 1 s ; E = 127 ± 2
a
Ϫ1
Ϫ1
‡
Ϫ1
‡
Ϫ1
kJ mol ; ∆H =124 ± 2 kJ mol ; ∆S = 14 ± 8 J K mol .
1
2
workers reported a half-life value of 20 s for the non-
catalyzed hydrolysis of phenylisocyanate in aqueous solution at
Buffer catalysis
2
5 ЊC and, moreover, showed that the reaction is buffer-
The observed pseudo-first-order rate constant (kobs) determined
at constant pH reveals a marked dependence on the buffer
concentrations. For all the buffers tested the kinetic constant
first increases rapidly at low buffer tested concentrations and
then gradually levels off at higher concentrations, reaching a
limit value that is independent of the type of buffer and its
fraction of free base. The kobs–buffer concentration plots for I at
the fraction 0.6 of free base in the buffers are shown in Fig. 2.
Fig. 3 shows the dependence of kobs on the phosphate concen-
tration for the hydrolysis of I, II, III and IV. The shape of the
curves is the same for all the phenylureas tested. The depend-
ence of the slopes of the kobs–buffer concentration curves for I
catalysed. Fast degradation to aniline derivatives may explain
why we could detect no phenylisocyanate derivatives in water
solution by HPLC. However, an indication that the reaction
proceeds through phenylisocyanates was given by the analysis
of the reaction products of I obtained in a water–ethanol
mixture (50% ethanol). In this medium HPLC analysis
revealed, besides the aniline derivative, another product, in 60%
1
relative yield after 15 days, which was identified by H- and
13
C-NMR, and by mass spectra, as ethyl 3,4-dichlorophenyl-
1
carbamate: H-NMR δ 1.30 (3 H, t, CH ), 4.22 (2 H, q, CH ),
3
2
7
.19 (1 H, dd, 6-H), 7.46 (1 H, d, 6-H), 7.59 (1 H, d, 6-H), 7.93
13
o
(
s, 1 H, NH); C-NMR δ 14 (CH ), 61 (CH ), 119 (ortho CH),
at zero buffer concentrations (k cat), which measure the catalytic
3
2
1
20 (ortho CH), 124.5 (para CCl), 130 (meta CH), 132 (meta
efficiency of the buffers, is shown in Fig. 4. Despite the large
CCl), 138.5 (CN); 153 (CO). An electron ionization mass
spectrum, recorded on the quadrupole instrument Trio 2000,
Fisons, gave m/z 233 (Mϩ, 100%).
errors, due to the hyperbolic shape of the k –buffer concen-
cat
tration curves, it is evident that, at least for some buffers, the
curves do not pass through the origin of the axes at α = 0 and at
α = 1, suggesting that both the acidic and basic forms of the
buffers are catalysts of the reaction. It is interesting to note that
This compound was the exclusive product of the reaction of
3
,4-dichlorophenylisocyanate with pure ethanol.
1
890 J. Chem. Soc., Perkin Trans. 2, 2002, 1889–1893