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S.A. Al-Thabaiti et al. / Journal of Molecular Liquids 216 (2016) 538–544
2.5. Kinetic measurements
interfacial ion exchange and the binding constant of the substrate are
the key factors for the efficiency of micellar catalysis. It seems reason-
able to expect that a factor of importance for the relative rates in the
aqueous and micellar pseudophase would be the orientation of the
substrate molecule within the surfactant aggregate. The overall kinetic
behavior of the surfactants is described in the framework of the
pseudo-phase model. It has been established that the rate enhancement
is mainly due to the reagent concentration in the micellar pseudo-
phase. In this system, substrate is distributed between the bulk and mi-
cellar phases (Scheme 2).
In Scheme 2, subscripts w and m represent aqueous and micellar
pseudo-phases. kw and km are the second order rate constants in
aqueous phase and micellar pseudophase, respectively. Kn and Ks are
the binding constants of D-glucose and MnO−4 to the micelles, respec-
tively and [Dn] = the concentration of the micellized surfactant =
([16-s-16]T-cmc).
The required volumes of MnO4−, 16-s-16 gemini surfactant and
H2SO4 (for maintaining the desired [H+]) were introduced into a
three necked reaction vessel fitted with a double-walled condenser to
arrest evaporation. The reaction vessel was kept in a thermostat main-
tained at a desired temperature (40 °C). The reaction was started by
adding the required and thermally equilibrated solution of D-glucose.
The zero time was taken when half of the D-glucose solution has been
added. The reaction progress was followed at 525 nm (λmax of MnO−4 )
using a sampling technique and UV/vis spectrophotometer (UV-260
Shimadzu, with 1 cm quartz cuvettes) was used for absorbance mea-
surements at specific time intervals. A control dynamic pH-meter fitted
with a combination electrode was used to measure the pH of the work-
ing solutions. Pseudo-first-order conditions were used to determine the
rate constants (kobs, s−1) by using a large excess of D-glucose over
MnO−4 in all kinetic runs. Duplicate runs gave results that were repro-
ducible to within 4%. Other details of the kinetic measurements
were the same as described earlier [43].
Corresponding to the Scheme 2, the following rate equation can be
obtained as Eq. (1) and modified as Eq. (2):
kw þ kmKs½Dnꢀ
kobs
¼
ð1Þ
ð2Þ
3. Results and discussion
ð1 þ Ks½DnꢀÞ
À
Á
k0 ½D‐glucoseꢀ þ Ksk0 ‐k0w MGS½Dnꢀ
3.1. Effect of [16-s-16] on reaction rate
w
T
m
kobs
kw0
¼
ð1 þ Ks½DnꢀÞ
The effect of [16-s-16] (s = 4,5,6) on the reaction rate was observed
by varying different concentrations of gemini surfactants (from
1.0 × 10−4 to 22.0 × 10−4 mol dm−3) and keeping all other reaction
conditions constant, i.e. [MnO−4 = 4.0 × 10−4 mol dm−3, [D-glucose] =
4.0 × 10−3 mol dm−3, [H2SO4] = 1.00 × 10−4 mol dm−3 and temper-
ature = 40 °C. It was observed that reaction rate first increases with
[surfactant], remains constant up to certain concentration and increases
sharply at higher concentrations (Fig. 2). Inspection of data clearly indi-
cates that used surfactant has pre- and post-micellar catalytic effects on
the redox reaction, which might be due to the preponement of micelli-
zation by reactants and/or the presence of premicelles [44]. Generally,
micellar catalysis has been interpreted in terms of the pseudophase
ion exchange model and pseudophase model [45]. The catalytic effect
of gemini surfactants on the reaction rate is explained in terms of the
Menger and Portnoy [46] pseudo-phase model (Scheme 2), later devel-
oped by Bunton [47]. Micelles are dynamic structures which are influ-
enced by counterions, ionic strength, polarity of the medium and
temperature, etc. [48]. The effects of structural variation of the surfac-
tants have been analyzed by various models and theories [49–51]. The
kw
½D‐glucoseꢀ
km
½D‐glucoseꢀ
½Dnꢀ
¼
km0
¼
MGS
¼
MGS
The following equilibrium was used to obtain the value MGS.
Using Eq. (4) and the mass balance of glucose, [D-glucose]T
=
[(D-glucose)w] + [(D-glucose)m], a quadratic Eq. (5) can be obtained
which is solved for [(D-glucose)m] with the help of a computer program
with Kn as an adjustable parameter [52]. The cmc values were deter-
mined under experimental conditions and a non-linear least-square
technique was used for the calculation of k'm and Kn. These values are
summarized in Table 2.
Kn
ðD‐glucoseÞw þ Dn ⇌ ðD‐glucoseÞm
ð3Þ
ð4Þ
Â
Ã
ðD‐glucoseÞm
Â
Ã
À
Â
ÃÁ
Kn
¼
ðD‐glucoseÞw þ ½Dnꢀ‐ ðD‐glucoseÞm
Â
Ã
À
Á
Kn ðD‐glucoseÞm 2‐ 1 þ Kn½Dnꢀ þ Kn½D‐glucoseꢀ
ꢁ ðD‐glucoseÞm þ Kn ½Dnꢀ ðD‐glucoseÞT ¼ 0 T
Â
Ã
À
Â
ÃÁ
ð5Þ
Under the present experimental condition it was observed that the
rate constant values are more at 16-4-16 as compared to 16-5-16 and
16-6-16 and follow the order 16-4-16 N 16-5-16 N 16-6-16 among the
gemini molecules. It is well documented in the literature that the length
of the spacer and the type of the moiety dictate the conformation of the
gemini surfactant molecule [53]. Because of shorter spacer length the
micelle formation is more in 16-4-16 as compared to 16-5-16 and 16-
6-16 gemini molecules. The shorter spacer is the reason for the increas-
ing geometrical constraints in the formation of aggregates with decreas-
ing the spacer unit length [54]. The cmc values decrease with increased
in hydrophobic chain length of the surfactant molecule. The micellar
morphology tends to be less ellipsoidal with increasing spacer in gemini
surfactants is well supported by microviscosity and SANS data [55]. As a
result the spacer greatly controls the surfactant morphology and the
rate constant values obtained in the present study are consistent with
the expectation being maximum at spacer = 4, beyond which looping
of the spacer (to minimize its contact with water [56]) will progressive-
ly make the Stern layer more wet with the resultant rate constant de-
crease. Thus, increasing the hydrophobicity of spacer from 4 to 6
entirely changes the whole scenario of the reaction kinetics.
Fig. 2. Plot showing the effects [16-s-16] on kobs of the oxidation of D-glucose by
permanganate. Reaction conditions: [MnO−4 ] = 4.0 × 10−4 mol dm−3, [D-glucose] =
4.0 × 10−3 mol dm−3, [H2SO4] = 1.00 × 10−4 mol dm−3, temperature = 40 °C.