EFFECTS OF MIXED H2O-CH3CN SOLVENTS ON THE RATE OF HYDRAZINOLYSIS
157
extinction coefficients, δ, of D and E at 300 nm are
at 0.50 M NH2NH2 is due to decrease in the equilibrium
concentration of F with the decrease in [NH2NH2].
The observed data (Aobs versus t) for the kinetic
runs at [Buf]T < 0.12 M, pH 7.31, [Buf]T < 0.08 M,
pH 7.46, [Buf]T < 0.06 M, pH 7.92, and [Buf]T <
0.05 M, pH 8.25, where the plots of Aobs versus t re-
vealed double maxima (i.e. tetraphasic nature of the
plots) within the reaction time (t) range of 20–<8000 s
(Fig. 3), were attempted to fit to a rather more complex
kinetic equation derived from irreversible consecutive
reactions shown in Eq. (7). But the observed data could
not fit to such a kinetic equation partly because under
such conditions, reversible nature of k1-step and k3-
step cannot be kinetically ignored. The effectiveness
of reversibility of k1-step and k3-step is expected to
increase with the decrease in [Buf]T at a constant pH.
The values of W (= φ2/k1obs = δC − δE − δAn because
k1obs ≈ k1 under the present experimental conditions)
show a significant decrease with the decrease in [Buf]T
at all pH values except pH 8.25 (Table IV). Such a de-
crease in W is probably due to kinetically insignificant
(i) reversibility of k1-step and (ii) occurrence of k4-step.
But, since δD/δE = 3.9 and δC/δA = 4.9, the kinetically
insignificant presence of equilibrium concentrations of
A and C as well as the rate of formation of D within
the reaction period of ≤tmax (Table IV) will cause sig-
nificant apparent decrease in δC and increase in δE and
consequently this will decrease δC − δE − δAn, i.e. W.
The values of k1obs for hydrazinolysis of NPhPT at
different [Buf]T and at a constant pH (Table IV) were
found to fit to Eq. (10)
5500 and 0.0 M−1 cm−1, respectively (Table I).
These results show that the value of A [= ( fDδD +
∞
fEδE)[X]0, with [X]0 = 2 × 10−4 M, fD = 0.60,
fE = 0.40, δD = 5500 M−1 cm−1 and δE = 0.0] should
be equal to 0.660 which is not appreciably different
from the observed value of A∞ = 0.633 (Table VI).
These results support the conclusion that the formation
of D in the hydrazinolysis of NPhPT occurs via C1.
Three kinetic runs were carried out at 0.05, 0.2, and
0.5 M NH2NH2 in nonbuffered solutions. The values of
Aobs at different reaction time (t) monitored at 300 nm
for these kinetic runs are summarized in Table VI. For
the kinetic run at 0.05 M NH2NH2, the value of Aobs
dropped from a maximum (∼0.50) to a minimum value
(0.061) within 300 s (due to hydrazinolysis of C1) fol-
lowed by a slow decrease from 0.061 to 0.042 within
300–9660 s (due to hydrolysis of C1 after the attain-
ment of equilibrium between C1 and F). Further ex-
tremely slow increase in Aobs with the increase in re-
action time t beyond 9660 s is caused by the formation
of D from F. In view of this kinetic run, the values of
tmax (=2960 s) listed in Tables III and IV for the ki-
netic run at 2% v/v CH3CN correspond to the reaction
periods within which the formation of D is insignifi-
cant. Thus, this set of observation negates the forma-
tion of D in the hydrazinolysis of NPhPT without the
formation of C1 on the reaction path. It is highly un-
likely that the rate of formation of D from C is much
larger than that from F because the leaving ability of
C6H5NH− may not be better than that of NH2NH−.
This is evident from the values of pseudo-first-order
rate constants for alkaline hydrolysis and hydrazinol-
ysis of NPhPT and C1 under similar experimental
conditions.
2
k1obs = kun1[Buf]T + kca1[Buf]T
(10)
where kun1 and kca1 represent uncatalyzed second-order
It is interesting to note that the value of Aobs at
300 nm increased from a minimum (0.112) to a maxi-
mum (0.630) with the increase in reaction time t from
64 s to 157,260 s at [Buf]T = 0.15 M and pH 7.46 while
within nearly same reaction time, the value of Aobs
increased by only ∼0.06 absorbance unit at 0.05 M
NH2NH2 and pH 9.72 (Table VI). These observations
show that the rate of formation of D from F is highly
sensitive to general acid catalysis. Such catalysis has
been detected in the related cyclization reaction [12].
As expected, the values of k4 at 0.05 M NH2NH2 are
very sensitive to pH of the reaction medium. The val-
and catalyzed third-order rate constant, respectively.
1
1
Least squares calculated values of kun and kca at dif-
ferent pH are summarized in Table VII. The extent of
reliability of the fit of observed data to Eq. (10) may
be recognized from the standard deviations associated
with the calculated parameters and maximum per-
cent residual errors, RE [= 100(k1obs − kcalcd)/k1obs] as
shown in Table VII. However, even with low-standard
1
deviations and RE values, the calculated values of kun
1
and kca at pH 7.31 and 8.25 cannot be considered as
reliable because at these two pH values, these param-
eters were calculated from rather very low number of
data points (only three data points). The experimental
limitations, such as at high values of [Buf]T, the rate
of reaction became too fast to monitor conveniently
and at low values of [Buf]T, the kinetics of the reac-
tion became too complicated (plots with dotted lines in
Fig. 3), restricted to attain a rather low range of [Buf]T
at every pH.
ues of A , obtained at [Buf]T = 0.15 M and pH 7.46
∞
(for the second phase of the reaction) and 0.50 M
NH2NH2 and pH 10.60, revealed the formation of 58
and 60% D, respectively, and consequently ∼40% E.
The value of A (≈0.45), obtained at 0.20 M NH2NH2
∞
and pH 10.29, yielded ∼40% D. Thus, at t = t , the
∞
lower value of [D] at 0.2 M NH2NH2 compared to that