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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072
One Day International Seminar on Materials Science & Technology (ISMST 2017)
4th August 2017
Organized by
Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 174
KINETIC STUDY OF POLYMERIZATION OF METHYL METHACRYLATE
INITIATED BY Ce(IV) – VANILLIN REDOX SYSTEM IN THE PRESENCE β-
CD AND MICELLAR PHASE
C.Kumaresan1, M.C. Duraimanickam2
1Department of Chemistry,Arulmigu Palaniandavar College of Arts & Culture,
Palani 624601. Email : kumaresanc91@ gmail.com
2Department of Chemistry,Arulmigu Palaniandavar College of Arts & Culture,
Palani 624601. Email : mcduraimanickam63 @ yahoo.com
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract: Kinetics of Polymerization of methylmethacrylate
(MMA) initiated by Ce(IV) – Vanillin redox system have been
carried out at two different temperatures30oC&36oCindilute
sulfuric acid medium under nitrogen atmosphere. The rate of
oxidation of Vanillin by Ce (IV) in the presence and absence of
monomer were studied. The effect of variousconcentrations of
monomer [MMA], oxidant [Ce(IV)], reductant [vanillin],
medium [H+] and varying ionic strengths NaHSO4 on the rate
of polymerization, rate of Ce(IV) consumption (-RCe) and the
percentage monomer conversion were examined. Further, the
rate of polymerization (Rp) in β-CD and miceller (SLS, CTAB
and Tx-100) phase at constant concentration has been
investigated. The kinetic study of Michelis-mentonmechanism
for the formation of intermediate complex between reactants
allows the oxidation data to be calculatedfromtheplotof Line
Weaver-Burk. The varying rate and thermodynamic
parameters were studied by Arrhenius and Eyring plot. The
rate of polymerization can be calculated. A suitable
mechanism has been proposed based on the experimental
results.
Key words : MMA-methylmethacrylate, β-CD-Beta-
cyclodextrin, Ce(IV) –cericammoniumsulphate, SLS-
Sodiumlaurylsulphate,CTAB-cetyltrimethylammonium
bromide Tx-100- Triton-X-100
1. INTRODUCTION
Kinetic studies on aqueous polymerization of MMA
have been reported[1,2]. Several reports have appeared on
the mechanism and kinetics of vinyl polymerizationinitiated
by variety of initiators[3-6]. Ceric ion has been widely used
in vinyl polymerization in the presence of various organic
reducing agents such as alcohols[7], acids[8], amides[9],
amines[10],etc. Rout et al[11] have proposed a linear
termination step involving interaction of monomer radicals
with ceric ion[12]. Vanillin is a very powerful flavoring
reagent in the food industry and widelyusedinthesynthesis
of drugs, 40% of vanillin is consumed in manufacturingdrug
as Aldomet, L-Dopa[13] and Trimethaprin 2A. It is also used
in the preparation of perfume and as a catalyst to
polymerize methyl methacrylates [14].Vanillin(3-methoxy-
1-hydroxy benzaldehyde) has both phenolic and aldehyde
groups and its capable of undergoing three differenttypes of
reaction those of the aldehyde groups the phenolic hydroxyl
and the aromatic nucleus. The aldehydic group undergoes
condensation15reaction that allows substitution[16] for the
aldehyde reactions, likes Cannizaro’s reaction. If the
hydroxyl group in vanillin is protected, Aldehyde group
undergoes oxidation[17] to vanillin acid. A direct oxidation
mechanism, without complex formation has been suggested
for oxidation in sulfuric acid[18,19]. The kinetics of
polymerization of MMA with Ce(IV) and vanillin has been
reported[20] The literature survey revealsthatnoreports of
the kinetics of polymerization of MMA with Ce(IV) - vanillin
in β-CD and micellar phase has been carried out.
2. EXPERIMENTAL METHODS
The polymerization was carried out in a pyrex tube
of 150 ml capacity which was sealed at the bottom and the
top was fitted with a standard joint stopper having inlet and
outlet tubes for the passage of nitrogen. Amicro burettewas
fitted vertically on the stopper the aqueous solutions of
MMA, vanillin and sulfuric acid, sodium bisulfate (to
maintain ionic strength) and SDS in appropriate
concentrations were taken on the reaction tube. Nitrogen
gas was bubbled for about half an hour. The solution was
thermo stated to attain desired temperature followed by
addition of Ce(IV) solution from the micro burette and
mixing by shaking. The volume of reaction mixture was
adjusted to 20 ml. The polymerization started immediately
after the addition of Ce(IV) solution. After a definiteinterval
of time the reaction was quenched by addition of the excess
standard ferrous ammonium sulfate solution. The filtrate
along with washing after separation of polymer was
estimated for residual Ce(IV) by titrating with standard
Ce(IV) using ferroin indicator. The rate of polymerization
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072
One Day International Seminar on Materials Science & Technology (ISMST 2017)
4th August 2017
Organized by
Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 175
(Rp) and rate of Ce(IV) consumption were calculated from
the initial slope of the curve of the percentage of monomer
conversion versus time and [Ce(IV) ]consumption versus
time curve respectively.
All kinetic measurements were performed under pseudo
first order conditions where [Vanillin] was always in excess
over [Ce(IV)] at a constant ionic strength of 02.5 mol d-3
in
acid medium at a constant temperature of 30o
C and36o
C
respectively, unless otherwise stated. The reaction was
initiated by mixing the thermostated solutions of Ce(IV)and
vanillin , which also contained the required concentration of
H2SO4 and NaHSO4 . The processofthereactionwasfollowed
by measuring the decrease in concentration of Ce(IV) in the
reaction solution and from order slopes of plots of log
10
(Ce(IV)) versus time; the plots were linear up to 60%
completion of the reaction in acidic medium and the k
obs
values were reproducible to within ±5 % and deviationfrom
linearity was observed above 40 % of reaction due to the
retarding effect of one of the products Ce (IV). The results
are also interpreted in terms of the initial rateofthereaction
to avoid the complexation. The order withrespecttoVanillin
and vanillinnic Acid was found by log k
obs
versus log
10
(concentration) plots these orders wereobtainedbyvarying
the concentration of reluctant and acid inturn whilekeeping
constant. The acid formation is confirmed by I.R. data[21]
3. RESULTS AND DISCUSSION
3.1 Effect of Ce(IV)
The concentration cerium(IV) was variedfrom3.14
x 10-3 to 7.83 x 10-3 mol dm-3at constant [vanillin] (2 x 10-1
mol dm-3), [H+] 2.5 (mol dm-3), [NaHSO
4
] (2 mol dm-3). The
rate of the reaction is increased with increase in the
concentration Ce(IV) from 6.907 to 10.855 for 30
o
C and
5.328 to 12.343 for 36
o
C as shown in the fig 1and table 1.
The observed that Rp(obs) increase with increasing Ce(IV)
concentration from 2.907 to 3.013 for temp 30
o
C and
2.658to 3.013 for temp 36
o
C as shown in the plotofRp(obs)
Vs Ce(IV) fig 2 table 2 shows a straight line .
Table 1 Effect of Ce (IV)
Fig – 1: Effect of Ce (IV)
Table 2 Effect of Ce (IV)
Fig 2
[Ce(IV)] mol.
dm-3
10-7 [-d [Ce(IV)/dt] mol. dm-3. sec-1
300c 360c
0.00314 6.9079 5.3289
0.00418 7.6974 7.5
0.00523 8.2895 8.8816
0.00627 8.8816 10.8553
0.00732 10.0658 12.2368
0.00783 10.8553 12.34342
[Ce(IV)] mol. dm-3
Rp x 10-7
300c 360c
0.00314 2.9076 2.6588
0.00418 2.9243 2.8360
0.00523 2.9423 2.9068
0.00627 3.0297 2.9423
0.00732 3.0658 2.9778
0.00784 3.1017 3.0133
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072
One Day International Seminar on Materials Science & Technology (ISMST 2017)
4th August 2017
Organized by
Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 176
Effect of [Vanillin]
The concentration of vanillin was varied from (2 x
10-2 mol dm-3) to (6 x10-2 mol dm-3) at constant [Ce(IV)]
0.0284 X10-3mol dm-3 , [NaHSO4] (2 mol dm-3) The rate of
the reaction is increased with increase in the concentration
[Van] from 14.013to 17.96 for 30oC and 14.605to20.132for
36oC as shown in the fig 3 and table 3. The observed that
Rp(obs) increase with increasing [Van] concentration from
0.360 to 5.132 for temp 30oC and 3.8981 to 7.2663 for temp
36oC The plot of k(s-1) vs [vanillin] yielded linear indicating
first order dependence with respect to vanillin (table4,fig4)
Table 3 Effect of [VAN]
Table 3
Fig.3
Table 4 Effect of [VAN]
Fig 4
Fig 4
Effect of [H+]
The increase in concentration of acid leads to a
slight change in the rate Rp (obs) at constant ionic strength.
But Rp (obs) was independent of [H+]. This may be
attributed to formation of less active Ce(IV) species given by
the following equilibrium.
Ce (IV) + H2SO4 CeSO4 (III) + H+
At constant [H2SO4], the increase in [H+] will lead to a
decrease in the ratio Ce[SO4] (III) / Ce(IV). Hence with
lower [H+] the reactivity of CeSO4(III) predominates where
as at higher [H+] the effect was reversed.The rate of reaction
increased from 1.299to 0.779 for 300 C and 1.178 to 0.858
for 360C fig 5 table 5. The observed that Rp(obs) slight
change with increasing [H+] concentration from 2.273 to
2.962 for temp 30oC and 3.373 to 2.479 for temp 36oC The
plot of k(s-1) vs [H+] yielded linear and indicating first order
dependence with respect to[H+] ( fig6 table 6)
Table 5 Effect of [H +]
[VAN] mol.
dm-3
10-7 [-d [Ce(IV)/dt]
mol. dm-3. Sec-1
300c 360c
0.02 14.013 14.605
0.03 15.395 15.395
0.04 15.987 16.974
0.05 16.579 17.961
0.055 17.566 19.145
0.06 17.961 20.132
[VAN] mol. dm-
3
Rp x 10-8
300c 360c
0.02 0.3607 3.8981
0.03 0.7214 4.6083
0.04 0.8878 4.9634
0.05 3.7455 6.0288
0.055 4.7859 6.3806
0.06 5.1327 7.2663
[H2SO4]-1
(mol. dm-3)-1
106 [-d [Ce(IV)/dt]-1 mol. dm-3.
Sec-1
300c 360c
20 1.2992 1.1783
3.33 1.1259 1.1014
1.818 1.034 1.0555
1.25 0.9559 0.9744
0.952 0.8587 0.9212
0.769 0.7795 0.8587
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072
One Day International Seminar on Materials Science & Technology (ISMST 2017)
4th August 2017
Organized by
Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 177
Fig 5
Table 6 Effect of [H+]
Fig 6
Fig 7
Fig 8
Effect of monomer
The concentration of vanillin was varied from (4 x
10-4 mol dm-3) to (9 x10-4 mol dm-3) at constant [Ce(IV)]
0.0284 X10-3mol dm-3 , [NaHSO
4
] (2 mol dm-3) The rate of
the reaction is increased with increase in the concentration
[M] from 4.934to 7.302 for 30oC and 3.947 to 6.907 for 36oC
as shown in the fig 3 and table 3. The observed that Rp(obs)
increase with increasing [M] concentration from 1.865 to
4.441 for temp 30oC and 1.511 to 4.228 for temp 36oC The
plot of k(s-1) vs [M] yielded linear indicating first order
dependence with respect to monomer
cocentration(table4,fig4)
[H2SO4](mol.dm-3)-1 Rp×10-7
300 C 360C
20 2.2732 3.3753.
3.3333 2.4109 3.2145
1.8181 2.5357 2.9620
1.25 2.1663 2.8242
0.952 1.4004 2.6637
0.769 2.9620 2.4799
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072
One Day International Seminar on Materials Science & Technology (ISMST 2017)
4th August 2017
Organized by
Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 178
Effect of Ionic strength and solvent polarity
The effect of ionic strength was studied by varying the
[NaHSO4] in the reaction medium. The ionic strength of the
reaction medium was varied from 1.0 to 3.0 mol - dm 3 at
constant [Ce(IV]), [Vanillin ] and [H+]. It was found that as
ionic strength increases, the rate of the reaction increases
Effect of surfactant
Sodium lauryl sulphate SLS
The concentration cerium(IV) was variedfrom3.14
x 10-3 to 7.83 x 10-3 mol dm-3at constant [vanillin] (2 x 10-1
mol dm-3), [H+] 2.5 (mol dm-3), [NaHSO4] (2 mol dm-3) and
surfactant [SLS] is constant2X 10-2Therateofthe reactionis
increased from 1.010 to 1.346 for 30oC and 2.140 to 4.040
for 36oC as shown in the fig 7and table 7. The observed that
Rp(obs) increase on from 5.424 to 4.387 for temp 30oC and
5.145 to 4.228 for temp 36oC as shown in theplotofRp(obs)
VsCe(IV)fig 8 table8 shows a straight line.Fromtheaddition
of SLS increases the rate of polymerization Rpabove and
below the CMC value
Table 7
Fig 9
Table 8
Fig 10
Effect of Cetyltrimethyl Ammonium Bromide (CTAB)
The concentration cerium(IV) was variedfrom3.14
x 10-3 to 7.83 x 10-3 mol dm-3at constant [vanillin] (2 x 10-1
mol dm-3), [H+] 2.5 (mol dm-3), [NaHSO4] (2 mol dm-3) and
surfactant [CTAB] is constant2X 10-2Therateofthereaction
is increased from 3.852 to 1.289 for 30oC and 2.188 to0.896
for 36oC as shown in the fig 9and table 9. The observed that
Rp(obs) increase from 2.273to 2.984 for temp 30oC
and3.719 to 3.283 for temp 36oC as shown in the plot of Rp
(obs) VsCe(IV)fig10 table10 shows a straight line. Fromthe
addition of CTAB decreases the rate of polymerization Rp
above and below the CMC value
[Ce(IV)]mol.dm-3
10-4(d[Ce(IV)]/dt)mol.dm-3sec-
1
300 C 360C
0.00314 1.0102 2.1045
0.00418 5.8928 2.5255
0.00523 8.4186 2.8622
0.00627 4.2091 3.3673
0.00732 8.4183 3.5979
0.00789 1.3466 4.0408
Ce(IV)mol.dm-3
Rp×10-7
300 C 360C
0.00314 5.4246 5.1456
0.00418 5.2252 4.9859
0.00523 5.0660 4.8268
0.00627 4.8268 4.6671
0.00732 4.5870 4.4676
0.00789 4.3875 4.2284
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072
One Day International Seminar on Materials Science & Technology (ISMST 2017)
4th August 2017
Organized by
Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 179
Fig 11
Table 11
Table12
Fig 13
[Ce(IV)]mol.dm-
3
10-4(-d[Ce(IV)]/dt)mol.dm-3sec-
1
300 C 360C
0.00314 3.852 2.1888
0.00418 3.1888 1.6837
0.00523 2.8526 1.4311
0.00627 2.4640 1.2602
0.00732 1.6105 1.1209
0.00789 1.2891 0.8968
[Ce(IV)]mol.dm-3
10-4(-d[Ce(IV)]/dt)mol.dm-3sec-1
300 C 360C
0.00314 3.788 2.105
0.00418 3.2832 1.684
0.00523 2.8622 1.347
0.00627 2.3571 1.0102
0.00732 1.8520 5.893
0.00789 1.347 2.5255
Ce(IV)mol.dm-3
Rp×10-7
300 C 360C
0.00314 1.4479 3.4671
0.00418 1.3317 3.3753
0.00523 1.2399 3.3063
0.00627 1.1252 3.2145
0.00732 1.0332 3.1000
0.00789 1.015 3.008
Table 9 Fig 12
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072
One Day International Seminar on Materials Science & Technology (ISMST 2017)
4th August 2017
Organized by
Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 180
Fig 14
Effect of β-CD
The concentration cerium(IV) was varied from 3.14 x
10-3 to 7.83 x 10-3 mol dm-3at constant [vanillin](2x10-1mol
dm-3), [H+] 2.5 (mol dm-3), [NaHSO4] (2 mol dm-3)and[β-CD]
The rate of the reaction is decreased from 1.776to 8.686 for
30oC and 1.1842 to 5.7237 for 36oC as shown in the fig
13and table 13.The observed that Rp(obs) increase with
increasing [β-CD] concentration from 1.931 to 2.6for
temp30oC and 2.142 to 2.363 for temp 36oC as shown in the
plot of Rp (obs) Vs [β-CD] fig 14 table 14 shows a straight
line .
Table 13
Fig 15
Fig 15
Table 14
Fig. 16
[Ce(IV)](mol.dm-
3)-1
103[-d (Ce(IV)/dt]1 (mol. dm-3. sec-1)-1
300c 360c
0.00314 1.7763 1.1842
0.00418 3.3553 2.1711
0.00523 4.3421 3.5526
0.00627 6.1184 4.3421
0.00732 6.9079 4.9342
0.00784 8.4868 5.7237
[Ce(IV)]mol. dm-3
Rp x 10-7
300c 360c
0.00314 1.9379 2.1422
0.00418 2.0911 2.1759
0.00523 2.1759 2.2273
0.00627 2.2781 2.2612
0.00732 2.4651 2.2950
0.00784 2.6013 2.3631
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072
One Day International Seminar on Materials Science & Technology (ISMST 2017)
4th August 2017
Organized by
Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 181
Kinetics of oxidation in presence of monomer
The Kinetics of oxidation of Vanillin (VA) by Ce(IV)
in the presence and absence of monomer was carried out
at the temperature 30oC and 360C. The rate of oxidant
consumption
(-d[Ce(IV)]/dt) were proportional to [Ce(IV)],
Variation of rates with substrate concentration suggested
the formation of 1:1 complex intermediates prior to
oxidation. The plots of (-d [Ce(IV)]/dt) against [VA] were
linear the complex formation between the oxidant and the
substrate in the redox pair and reciprocal plots of (-
d[Ce(IV)]/dt)-1 vs [H+]-1 were also found to be linear.
Scheme K1
VA+ H+--- VA - H+ (i)
------
K2
VA - H++ Ce(IV)- - Complex (C) (ii)
Kr
C R.+Ce(III) +H (iii)
K0
R• + Ce(IV) Products (iv)
Where, C represents the complex formation between the
substrate and the oxidant.
The two equilibrium K1 and K2 were treated separately so
that,
K1=([ - H+]
eq
) / ([VA]
eq
[H+]) (1)
and
[VA]T = [VA - H+]
eq
+ [VA]
eq
(2)
From equation(1),
[VA - H+]
eq
= K1 [VA]
eq
[H+]
Introducing this value in equation (2),We get,
[VA]T=K1[VA]
eq
[H+]+[VA]
eq
= [VA]
eq
(1 + K1[H+]) (3)
Where [VA]
eq
denotes the equilibrium concentration of LA
also,
[Ce (IV)]T = [Ce(IV)]
eq
+ [C] (4)
From the kinetic step (2)
K2 = [C] / ([VA - H+]
eq
[Ce (IV)]
eq
)[C]
= K2 [VA -H+]
eq
[Ce (IV)]eq (5)
Substituting equation (5) in equation (4),
[Ce(IV)]T = [Ce(IV)]
eq
+K
2
[VA - H+]
eq
[Ce (IV)]
eq
= [Ce
(IV)]
eq
(1+K
2
[VA - H+]
eq
) (6)
Where [Ce(IV)]
eq
represents the equilibrium concentration
of ceric ion.
By applying steady-state approximation to the
intermediate(R•),the following expression can be derived
from the kineticscheme steps(iii)and(iv):
-d[R•] / dt = K
0
[Ce (IV)]
eq
[R•] - Kr [C] = 0
therefore
K0 [Ce (IV) ]
eq
[R•] = Kr[C]
[R•] = [Kr [C] ) / (K
0
[Ce (IV)]eq) (7)
The rate law for the oxidation could then bederived
as follows.
From the Kinetic steps,
-d [Ce (IV)] / dt = Kr[C]+K
0
[Ce(IV)]
eq
[R•]
=Kr[C]+K
0
[Ce(IV)]
eq
Kr[C] / (K0[Ce(IV)]
eq
)
= 2Kr[C]
From the equation(5),
-d[Ce(IV)] / dt = 2K
r
K
2
[VA -H+]
eq
[Ce(IV)]
eq
By using the equation (1),
-d[Ce(IV)] / dt = 2K
r
K
1
K
2
[VA]
eq
[H+][Ce(IV)]
eq
Applying the equation (3) and (6)
-
d[Ce(IV)]/dt=(2KrK
1
K
2
[VA]
T
[Ce(IV)]
T
[H+]/(1+K
1
[H+])x(1+
K
2
[VA -H+]
eq
)=R
0
The above equation explain the dependence of the
rate on Ce(IV) concentration andalsovariablewithsubstrate
concentration. The observation ofMichelis -Mentonkinetics,
i.e. The formation of a complex between the reactants allow
the oxidation data to be treated according to the method of
Line Wearer and Burk.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072
One Day International Seminar on Materials Science & Technology (ISMST 2017)
4th August 2017
Organized by
Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 182
Thus the above equation can be written as follows:
(2KrK1K
2
[VA]T[Ce(IV)]T[H+])
-d[Ce(IV)]/dt =
(1+K
1
[H+])(1+K2K1[VA]eq[H+])
(2KrK1K2[LA]T[Ce(IV)]T[H+])
=
(1+K1K
2
[VA]
T
[H+])/(1+K
1
[H+])
(2KrK1K2[VA]T[Ce(IV)]T[H+])
=
(1+K
1
[H+]+ K1K
2
[VA]T[H+])
Taking reciprocal rate is given by,
d[Ce(IV)]/dt)=1/(2KrK1K2[VA]
T
[Ce(IV)]
T
[H+])+1/(2K
r
K
2
[V
A]
T
[Ce(IV)]T)1/(2K
r
[Ce(IV)]T)-(8)
This equation explains the linear plot of(-d[Ce(IV)]/dt)-
1vs[H+]-1,(-d[Ce(IV)]/dt)-1 vs[VA]-
Equation (8) explain the dependence of rate on[Ce(IV)].
Thus Kr could be evaluated from the plots of(-d[Ce(IV)]/dt)-
1vs[VA]-1 from the intercepts of the plots of(-d[Ce(IV)]/dt)-
1vs[H+]-1 , K
2
could be evaluated The value of K1 can be
determined from the slopeof theplotsof(-d[Ce(IV)]/dt)-1vs
[H+]-1 by knowing the values ofK
r
and K
2
.
The disappearance concentration of Ce (IV) at given time
which determine the rate of reaction, The cerium (IV) ion
concentration increases the rate and Rp increases the
reductant concentration alsobethesame resultsonrateand
Rp
CONCLUSION
Kinetics of polymerization of methyl methacrylate
initiated by Ce(IV) – vanillin redox system was carried out
two different temperature 300C and 360C in dilute sulfuric
acid medium under nitrogen atmosphere. The rate of
oxidant and reductant were studied in the presence and
absence of monomer. The observation of Michelis-menton
kinetics the formation of intermediate comple between
reactants allows the oxidation data to be treated according
to the method of Line Weaver – Burk plot. The overall
activation energy varying rate and thermodynamic
parameters are studied by Arrhenius and Eyring plot. The
rate of polymerization is also calculated by iodometry
method. The effect of rate by using cationicsurfactantrate
increases, anionic surfactant the rate decreases and non
ionicsurfactant no effect on rate.Effect of β-CD rate of
polymerization increases. Particle size decreases due to
hydrophobic interaction.
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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072
One Day International Seminar on Materials Science & Technology (ISMST 2017)
4th August 2017
Organized by
Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 183
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(2008), 50(1-4), 2-18.
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of 6-(2-amino-2-(4-hydroxyphenyl) acetylamino)-3, 3-
dimethyl-7-oxo-4-thiol-1-azabicyclo (3,2,0) heptane-2-
carboxylic.(amoxicillin trihydrate) withBi(V)(inIICIO4-HCI
mixture Asian Journal of Chemistry (2008), 20(4),
25392544..
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of Chemistry (2008), 82(9), 1839-1852.
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Kinetic Study of Polymerization of Methyl Methacrylate Initiated by Ce(IV) – Vanillin Redox System in the Presence β-CD and Micellar Phase

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072 One Day International Seminar on Materials Science & Technology (ISMST 2017) 4th August 2017 Organized by Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 174 KINETIC STUDY OF POLYMERIZATION OF METHYL METHACRYLATE INITIATED BY Ce(IV) – VANILLIN REDOX SYSTEM IN THE PRESENCE β- CD AND MICELLAR PHASE C.Kumaresan1, M.C. Duraimanickam2 1Department of Chemistry,Arulmigu Palaniandavar College of Arts & Culture, Palani 624601. Email : kumaresanc91@ gmail.com 2Department of Chemistry,Arulmigu Palaniandavar College of Arts & Culture, Palani 624601. Email : mcduraimanickam63 @ yahoo.com ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract: Kinetics of Polymerization of methylmethacrylate (MMA) initiated by Ce(IV) – Vanillin redox system have been carried out at two different temperatures30oC&36oCindilute sulfuric acid medium under nitrogen atmosphere. The rate of oxidation of Vanillin by Ce (IV) in the presence and absence of monomer were studied. The effect of variousconcentrations of monomer [MMA], oxidant [Ce(IV)], reductant [vanillin], medium [H+] and varying ionic strengths NaHSO4 on the rate of polymerization, rate of Ce(IV) consumption (-RCe) and the percentage monomer conversion were examined. Further, the rate of polymerization (Rp) in β-CD and miceller (SLS, CTAB and Tx-100) phase at constant concentration has been investigated. The kinetic study of Michelis-mentonmechanism for the formation of intermediate complex between reactants allows the oxidation data to be calculatedfromtheplotof Line Weaver-Burk. The varying rate and thermodynamic parameters were studied by Arrhenius and Eyring plot. The rate of polymerization can be calculated. A suitable mechanism has been proposed based on the experimental results. Key words : MMA-methylmethacrylate, β-CD-Beta- cyclodextrin, Ce(IV) –cericammoniumsulphate, SLS- Sodiumlaurylsulphate,CTAB-cetyltrimethylammonium bromide Tx-100- Triton-X-100 1. INTRODUCTION Kinetic studies on aqueous polymerization of MMA have been reported[1,2]. Several reports have appeared on the mechanism and kinetics of vinyl polymerizationinitiated by variety of initiators[3-6]. Ceric ion has been widely used in vinyl polymerization in the presence of various organic reducing agents such as alcohols[7], acids[8], amides[9], amines[10],etc. Rout et al[11] have proposed a linear termination step involving interaction of monomer radicals with ceric ion[12]. Vanillin is a very powerful flavoring reagent in the food industry and widelyusedinthesynthesis of drugs, 40% of vanillin is consumed in manufacturingdrug as Aldomet, L-Dopa[13] and Trimethaprin 2A. It is also used in the preparation of perfume and as a catalyst to polymerize methyl methacrylates [14].Vanillin(3-methoxy- 1-hydroxy benzaldehyde) has both phenolic and aldehyde groups and its capable of undergoing three differenttypes of reaction those of the aldehyde groups the phenolic hydroxyl and the aromatic nucleus. The aldehydic group undergoes condensation15reaction that allows substitution[16] for the aldehyde reactions, likes Cannizaro’s reaction. If the hydroxyl group in vanillin is protected, Aldehyde group undergoes oxidation[17] to vanillin acid. A direct oxidation mechanism, without complex formation has been suggested for oxidation in sulfuric acid[18,19]. The kinetics of polymerization of MMA with Ce(IV) and vanillin has been reported[20] The literature survey revealsthatnoreports of the kinetics of polymerization of MMA with Ce(IV) - vanillin in β-CD and micellar phase has been carried out. 2. EXPERIMENTAL METHODS The polymerization was carried out in a pyrex tube of 150 ml capacity which was sealed at the bottom and the top was fitted with a standard joint stopper having inlet and outlet tubes for the passage of nitrogen. Amicro burettewas fitted vertically on the stopper the aqueous solutions of MMA, vanillin and sulfuric acid, sodium bisulfate (to maintain ionic strength) and SDS in appropriate concentrations were taken on the reaction tube. Nitrogen gas was bubbled for about half an hour. The solution was thermo stated to attain desired temperature followed by addition of Ce(IV) solution from the micro burette and mixing by shaking. The volume of reaction mixture was adjusted to 20 ml. The polymerization started immediately after the addition of Ce(IV) solution. After a definiteinterval of time the reaction was quenched by addition of the excess standard ferrous ammonium sulfate solution. The filtrate along with washing after separation of polymer was estimated for residual Ce(IV) by titrating with standard Ce(IV) using ferroin indicator. The rate of polymerization
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072 One Day International Seminar on Materials Science & Technology (ISMST 2017) 4th August 2017 Organized by Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 175 (Rp) and rate of Ce(IV) consumption were calculated from the initial slope of the curve of the percentage of monomer conversion versus time and [Ce(IV) ]consumption versus time curve respectively. All kinetic measurements were performed under pseudo first order conditions where [Vanillin] was always in excess over [Ce(IV)] at a constant ionic strength of 02.5 mol d-3 in acid medium at a constant temperature of 30o C and36o C respectively, unless otherwise stated. The reaction was initiated by mixing the thermostated solutions of Ce(IV)and vanillin , which also contained the required concentration of H2SO4 and NaHSO4 . The processofthereactionwasfollowed by measuring the decrease in concentration of Ce(IV) in the reaction solution and from order slopes of plots of log 10 (Ce(IV)) versus time; the plots were linear up to 60% completion of the reaction in acidic medium and the k obs values were reproducible to within ±5 % and deviationfrom linearity was observed above 40 % of reaction due to the retarding effect of one of the products Ce (IV). The results are also interpreted in terms of the initial rateofthereaction to avoid the complexation. The order withrespecttoVanillin and vanillinnic Acid was found by log k obs versus log 10 (concentration) plots these orders wereobtainedbyvarying the concentration of reluctant and acid inturn whilekeeping constant. The acid formation is confirmed by I.R. data[21] 3. RESULTS AND DISCUSSION 3.1 Effect of Ce(IV) The concentration cerium(IV) was variedfrom3.14 x 10-3 to 7.83 x 10-3 mol dm-3at constant [vanillin] (2 x 10-1 mol dm-3), [H+] 2.5 (mol dm-3), [NaHSO 4 ] (2 mol dm-3). The rate of the reaction is increased with increase in the concentration Ce(IV) from 6.907 to 10.855 for 30 o C and 5.328 to 12.343 for 36 o C as shown in the fig 1and table 1. The observed that Rp(obs) increase with increasing Ce(IV) concentration from 2.907 to 3.013 for temp 30 o C and 2.658to 3.013 for temp 36 o C as shown in the plotofRp(obs) Vs Ce(IV) fig 2 table 2 shows a straight line . Table 1 Effect of Ce (IV) Fig – 1: Effect of Ce (IV) Table 2 Effect of Ce (IV) Fig 2 [Ce(IV)] mol. dm-3 10-7 [-d [Ce(IV)/dt] mol. dm-3. sec-1 300c 360c 0.00314 6.9079 5.3289 0.00418 7.6974 7.5 0.00523 8.2895 8.8816 0.00627 8.8816 10.8553 0.00732 10.0658 12.2368 0.00783 10.8553 12.34342 [Ce(IV)] mol. dm-3 Rp x 10-7 300c 360c 0.00314 2.9076 2.6588 0.00418 2.9243 2.8360 0.00523 2.9423 2.9068 0.00627 3.0297 2.9423 0.00732 3.0658 2.9778 0.00784 3.1017 3.0133
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072 One Day International Seminar on Materials Science & Technology (ISMST 2017) 4th August 2017 Organized by Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 176 Effect of [Vanillin] The concentration of vanillin was varied from (2 x 10-2 mol dm-3) to (6 x10-2 mol dm-3) at constant [Ce(IV)] 0.0284 X10-3mol dm-3 , [NaHSO4] (2 mol dm-3) The rate of the reaction is increased with increase in the concentration [Van] from 14.013to 17.96 for 30oC and 14.605to20.132for 36oC as shown in the fig 3 and table 3. The observed that Rp(obs) increase with increasing [Van] concentration from 0.360 to 5.132 for temp 30oC and 3.8981 to 7.2663 for temp 36oC The plot of k(s-1) vs [vanillin] yielded linear indicating first order dependence with respect to vanillin (table4,fig4) Table 3 Effect of [VAN] Table 3 Fig.3 Table 4 Effect of [VAN] Fig 4 Fig 4 Effect of [H+] The increase in concentration of acid leads to a slight change in the rate Rp (obs) at constant ionic strength. But Rp (obs) was independent of [H+]. This may be attributed to formation of less active Ce(IV) species given by the following equilibrium. Ce (IV) + H2SO4 CeSO4 (III) + H+ At constant [H2SO4], the increase in [H+] will lead to a decrease in the ratio Ce[SO4] (III) / Ce(IV). Hence with lower [H+] the reactivity of CeSO4(III) predominates where as at higher [H+] the effect was reversed.The rate of reaction increased from 1.299to 0.779 for 300 C and 1.178 to 0.858 for 360C fig 5 table 5. The observed that Rp(obs) slight change with increasing [H+] concentration from 2.273 to 2.962 for temp 30oC and 3.373 to 2.479 for temp 36oC The plot of k(s-1) vs [H+] yielded linear and indicating first order dependence with respect to[H+] ( fig6 table 6) Table 5 Effect of [H +] [VAN] mol. dm-3 10-7 [-d [Ce(IV)/dt] mol. dm-3. Sec-1 300c 360c 0.02 14.013 14.605 0.03 15.395 15.395 0.04 15.987 16.974 0.05 16.579 17.961 0.055 17.566 19.145 0.06 17.961 20.132 [VAN] mol. dm- 3 Rp x 10-8 300c 360c 0.02 0.3607 3.8981 0.03 0.7214 4.6083 0.04 0.8878 4.9634 0.05 3.7455 6.0288 0.055 4.7859 6.3806 0.06 5.1327 7.2663 [H2SO4]-1 (mol. dm-3)-1 106 [-d [Ce(IV)/dt]-1 mol. dm-3. Sec-1 300c 360c 20 1.2992 1.1783 3.33 1.1259 1.1014 1.818 1.034 1.0555 1.25 0.9559 0.9744 0.952 0.8587 0.9212 0.769 0.7795 0.8587
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072 One Day International Seminar on Materials Science & Technology (ISMST 2017) 4th August 2017 Organized by Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 177 Fig 5 Table 6 Effect of [H+] Fig 6 Fig 7 Fig 8 Effect of monomer The concentration of vanillin was varied from (4 x 10-4 mol dm-3) to (9 x10-4 mol dm-3) at constant [Ce(IV)] 0.0284 X10-3mol dm-3 , [NaHSO 4 ] (2 mol dm-3) The rate of the reaction is increased with increase in the concentration [M] from 4.934to 7.302 for 30oC and 3.947 to 6.907 for 36oC as shown in the fig 3 and table 3. The observed that Rp(obs) increase with increasing [M] concentration from 1.865 to 4.441 for temp 30oC and 1.511 to 4.228 for temp 36oC The plot of k(s-1) vs [M] yielded linear indicating first order dependence with respect to monomer cocentration(table4,fig4) [H2SO4](mol.dm-3)-1 Rp×10-7 300 C 360C 20 2.2732 3.3753. 3.3333 2.4109 3.2145 1.8181 2.5357 2.9620 1.25 2.1663 2.8242 0.952 1.4004 2.6637 0.769 2.9620 2.4799
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072 One Day International Seminar on Materials Science & Technology (ISMST 2017) 4th August 2017 Organized by Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 178 Effect of Ionic strength and solvent polarity The effect of ionic strength was studied by varying the [NaHSO4] in the reaction medium. The ionic strength of the reaction medium was varied from 1.0 to 3.0 mol - dm 3 at constant [Ce(IV]), [Vanillin ] and [H+]. It was found that as ionic strength increases, the rate of the reaction increases Effect of surfactant Sodium lauryl sulphate SLS The concentration cerium(IV) was variedfrom3.14 x 10-3 to 7.83 x 10-3 mol dm-3at constant [vanillin] (2 x 10-1 mol dm-3), [H+] 2.5 (mol dm-3), [NaHSO4] (2 mol dm-3) and surfactant [SLS] is constant2X 10-2Therateofthe reactionis increased from 1.010 to 1.346 for 30oC and 2.140 to 4.040 for 36oC as shown in the fig 7and table 7. The observed that Rp(obs) increase on from 5.424 to 4.387 for temp 30oC and 5.145 to 4.228 for temp 36oC as shown in theplotofRp(obs) VsCe(IV)fig 8 table8 shows a straight line.Fromtheaddition of SLS increases the rate of polymerization Rpabove and below the CMC value Table 7 Fig 9 Table 8 Fig 10 Effect of Cetyltrimethyl Ammonium Bromide (CTAB) The concentration cerium(IV) was variedfrom3.14 x 10-3 to 7.83 x 10-3 mol dm-3at constant [vanillin] (2 x 10-1 mol dm-3), [H+] 2.5 (mol dm-3), [NaHSO4] (2 mol dm-3) and surfactant [CTAB] is constant2X 10-2Therateofthereaction is increased from 3.852 to 1.289 for 30oC and 2.188 to0.896 for 36oC as shown in the fig 9and table 9. The observed that Rp(obs) increase from 2.273to 2.984 for temp 30oC and3.719 to 3.283 for temp 36oC as shown in the plot of Rp (obs) VsCe(IV)fig10 table10 shows a straight line. Fromthe addition of CTAB decreases the rate of polymerization Rp above and below the CMC value [Ce(IV)]mol.dm-3 10-4(d[Ce(IV)]/dt)mol.dm-3sec- 1 300 C 360C 0.00314 1.0102 2.1045 0.00418 5.8928 2.5255 0.00523 8.4186 2.8622 0.00627 4.2091 3.3673 0.00732 8.4183 3.5979 0.00789 1.3466 4.0408 Ce(IV)mol.dm-3 Rp×10-7 300 C 360C 0.00314 5.4246 5.1456 0.00418 5.2252 4.9859 0.00523 5.0660 4.8268 0.00627 4.8268 4.6671 0.00732 4.5870 4.4676 0.00789 4.3875 4.2284
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072 One Day International Seminar on Materials Science & Technology (ISMST 2017) 4th August 2017 Organized by Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 179 Fig 11 Table 11 Table12 Fig 13 [Ce(IV)]mol.dm- 3 10-4(-d[Ce(IV)]/dt)mol.dm-3sec- 1 300 C 360C 0.00314 3.852 2.1888 0.00418 3.1888 1.6837 0.00523 2.8526 1.4311 0.00627 2.4640 1.2602 0.00732 1.6105 1.1209 0.00789 1.2891 0.8968 [Ce(IV)]mol.dm-3 10-4(-d[Ce(IV)]/dt)mol.dm-3sec-1 300 C 360C 0.00314 3.788 2.105 0.00418 3.2832 1.684 0.00523 2.8622 1.347 0.00627 2.3571 1.0102 0.00732 1.8520 5.893 0.00789 1.347 2.5255 Ce(IV)mol.dm-3 Rp×10-7 300 C 360C 0.00314 1.4479 3.4671 0.00418 1.3317 3.3753 0.00523 1.2399 3.3063 0.00627 1.1252 3.2145 0.00732 1.0332 3.1000 0.00789 1.015 3.008 Table 9 Fig 12
  • 7. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072 One Day International Seminar on Materials Science & Technology (ISMST 2017) 4th August 2017 Organized by Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 180 Fig 14 Effect of β-CD The concentration cerium(IV) was varied from 3.14 x 10-3 to 7.83 x 10-3 mol dm-3at constant [vanillin](2x10-1mol dm-3), [H+] 2.5 (mol dm-3), [NaHSO4] (2 mol dm-3)and[β-CD] The rate of the reaction is decreased from 1.776to 8.686 for 30oC and 1.1842 to 5.7237 for 36oC as shown in the fig 13and table 13.The observed that Rp(obs) increase with increasing [β-CD] concentration from 1.931 to 2.6for temp30oC and 2.142 to 2.363 for temp 36oC as shown in the plot of Rp (obs) Vs [β-CD] fig 14 table 14 shows a straight line . Table 13 Fig 15 Fig 15 Table 14 Fig. 16 [Ce(IV)](mol.dm- 3)-1 103[-d (Ce(IV)/dt]1 (mol. dm-3. sec-1)-1 300c 360c 0.00314 1.7763 1.1842 0.00418 3.3553 2.1711 0.00523 4.3421 3.5526 0.00627 6.1184 4.3421 0.00732 6.9079 4.9342 0.00784 8.4868 5.7237 [Ce(IV)]mol. dm-3 Rp x 10-7 300c 360c 0.00314 1.9379 2.1422 0.00418 2.0911 2.1759 0.00523 2.1759 2.2273 0.00627 2.2781 2.2612 0.00732 2.4651 2.2950 0.00784 2.6013 2.3631
  • 8. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072 One Day International Seminar on Materials Science & Technology (ISMST 2017) 4th August 2017 Organized by Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 181 Kinetics of oxidation in presence of monomer The Kinetics of oxidation of Vanillin (VA) by Ce(IV) in the presence and absence of monomer was carried out at the temperature 30oC and 360C. The rate of oxidant consumption (-d[Ce(IV)]/dt) were proportional to [Ce(IV)], Variation of rates with substrate concentration suggested the formation of 1:1 complex intermediates prior to oxidation. The plots of (-d [Ce(IV)]/dt) against [VA] were linear the complex formation between the oxidant and the substrate in the redox pair and reciprocal plots of (- d[Ce(IV)]/dt)-1 vs [H+]-1 were also found to be linear. Scheme K1 VA+ H+--- VA - H+ (i) ------ K2 VA - H++ Ce(IV)- - Complex (C) (ii) Kr C R.+Ce(III) +H (iii) K0 R• + Ce(IV) Products (iv) Where, C represents the complex formation between the substrate and the oxidant. The two equilibrium K1 and K2 were treated separately so that, K1=([ - H+] eq ) / ([VA] eq [H+]) (1) and [VA]T = [VA - H+] eq + [VA] eq (2) From equation(1), [VA - H+] eq = K1 [VA] eq [H+] Introducing this value in equation (2),We get, [VA]T=K1[VA] eq [H+]+[VA] eq = [VA] eq (1 + K1[H+]) (3) Where [VA] eq denotes the equilibrium concentration of LA also, [Ce (IV)]T = [Ce(IV)] eq + [C] (4) From the kinetic step (2) K2 = [C] / ([VA - H+] eq [Ce (IV)] eq )[C] = K2 [VA -H+] eq [Ce (IV)]eq (5) Substituting equation (5) in equation (4), [Ce(IV)]T = [Ce(IV)] eq +K 2 [VA - H+] eq [Ce (IV)] eq = [Ce (IV)] eq (1+K 2 [VA - H+] eq ) (6) Where [Ce(IV)] eq represents the equilibrium concentration of ceric ion. By applying steady-state approximation to the intermediate(R•),the following expression can be derived from the kineticscheme steps(iii)and(iv): -d[R•] / dt = K 0 [Ce (IV)] eq [R•] - Kr [C] = 0 therefore K0 [Ce (IV) ] eq [R•] = Kr[C] [R•] = [Kr [C] ) / (K 0 [Ce (IV)]eq) (7) The rate law for the oxidation could then bederived as follows. From the Kinetic steps, -d [Ce (IV)] / dt = Kr[C]+K 0 [Ce(IV)] eq [R•] =Kr[C]+K 0 [Ce(IV)] eq Kr[C] / (K0[Ce(IV)] eq ) = 2Kr[C] From the equation(5), -d[Ce(IV)] / dt = 2K r K 2 [VA -H+] eq [Ce(IV)] eq By using the equation (1), -d[Ce(IV)] / dt = 2K r K 1 K 2 [VA] eq [H+][Ce(IV)] eq Applying the equation (3) and (6) - d[Ce(IV)]/dt=(2KrK 1 K 2 [VA] T [Ce(IV)] T [H+]/(1+K 1 [H+])x(1+ K 2 [VA -H+] eq )=R 0 The above equation explain the dependence of the rate on Ce(IV) concentration andalsovariablewithsubstrate concentration. The observation ofMichelis -Mentonkinetics, i.e. The formation of a complex between the reactants allow the oxidation data to be treated according to the method of Line Wearer and Burk.
  • 9. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072 One Day International Seminar on Materials Science & Technology (ISMST 2017) 4th August 2017 Organized by Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 182 Thus the above equation can be written as follows: (2KrK1K 2 [VA]T[Ce(IV)]T[H+]) -d[Ce(IV)]/dt = (1+K 1 [H+])(1+K2K1[VA]eq[H+]) (2KrK1K2[LA]T[Ce(IV)]T[H+]) = (1+K1K 2 [VA] T [H+])/(1+K 1 [H+]) (2KrK1K2[VA]T[Ce(IV)]T[H+]) = (1+K 1 [H+]+ K1K 2 [VA]T[H+]) Taking reciprocal rate is given by, d[Ce(IV)]/dt)=1/(2KrK1K2[VA] T [Ce(IV)] T [H+])+1/(2K r K 2 [V A] T [Ce(IV)]T)1/(2K r [Ce(IV)]T)-(8) This equation explains the linear plot of(-d[Ce(IV)]/dt)- 1vs[H+]-1,(-d[Ce(IV)]/dt)-1 vs[VA]- Equation (8) explain the dependence of rate on[Ce(IV)]. Thus Kr could be evaluated from the plots of(-d[Ce(IV)]/dt)- 1vs[VA]-1 from the intercepts of the plots of(-d[Ce(IV)]/dt)- 1vs[H+]-1 , K 2 could be evaluated The value of K1 can be determined from the slopeof theplotsof(-d[Ce(IV)]/dt)-1vs [H+]-1 by knowing the values ofK r and K 2 . The disappearance concentration of Ce (IV) at given time which determine the rate of reaction, The cerium (IV) ion concentration increases the rate and Rp increases the reductant concentration alsobethesame resultsonrateand Rp CONCLUSION Kinetics of polymerization of methyl methacrylate initiated by Ce(IV) – vanillin redox system was carried out two different temperature 300C and 360C in dilute sulfuric acid medium under nitrogen atmosphere. The rate of oxidant and reductant were studied in the presence and absence of monomer. The observation of Michelis-menton kinetics the formation of intermediate comple between reactants allows the oxidation data to be treated according to the method of Line Weaver – Burk plot. The overall activation energy varying rate and thermodynamic parameters are studied by Arrhenius and Eyring plot. The rate of polymerization is also calculated by iodometry method. The effect of rate by using cationicsurfactantrate increases, anionic surfactant the rate decreases and non ionicsurfactant no effect on rate.Effect of β-CD rate of polymerization increases. Particle size decreases due to hydrophobic interaction. REFERENCES 1. Fernandez M D and Guzman G M, J Macromol Chem.,1988, 20(1), 91-98. 2. Ananthanarayanan V S and Santappa M, J ApplPolym Sci., 2003, 9, 2437-2449. 3. Sailaja G and Ramachandra Murthy R, Rasayan J Chem., 2010, 3(2), 321- 327. 4. Shanmuga S Sundari and Subbu S, Asian J Chem., 2006, 18(1), 503-508. 5. Patra M and Sinha B K, J ApplPolym Sci., 1997, 64(9), 1825-1834. 6. Rai K S, Sherigara B S and Madegowda N M, EurPolym J., 2000, 36, 1339- 1345. 7. Manjushree Senapati, Narayan C S, Mishra R, Tripathy B, Swoyam P Rout and Mahendra K, Rout, J Polym Sci., 1983, 21(2), 407- 413. 8. Nagaraja G K and MahadevaiahDemappa T, J ApplPolym Sci., 2007, 103(6), 3498-3505. 9. Misra G S and Bhattacharya S N, J PolymChem Ed., 1982, 20, 131-136. 10. Fernandez M D and Guzman G M, Macromol Chem.,1988, 20(1), 91-98. 11. Rout A, Rout S P, Mallick N, Singh B C and Santappa M, J Polym Ed., 1978, 16, 391-397.
  • 10. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Special Issue: 09 | Sep -2017 www.irjet.net p-ISSN: 2395-0072 One Day International Seminar on Materials Science & Technology (ISMST 2017) 4th August 2017 Organized by Department of Physics, Mother Teresa Women’s University, Kodaikanal, Tamilnadu, India © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 183 12. Fernandez M D, Pelayo A, Otero T F and Guzman G M, J PolymSciPolymLett Ed., 1985, 23(2), 79-83. 13.Goddard, Willian A., III; Chenoweth, Kimberly; Pudar, Sanja; Dun, AdriC.T.Cheng,Mu-Ieng.Structures,Mechanisms, and Kinetics of Selective Ammoxidation and Oixidation of Propane over Multi-metal Oxide 2.CatalystsMaterials and Process Simulation Center (139-74), Topics in Catalysis (2008), 50(1-4), 2-18. 14 Mishra, Parashuram Kineticsandmechanismofoxidation of 6-(2-amino-2-(4-hydroxyphenyl) acetylamino)-3, 3- dimethyl-7-oxo-4-thiol-1-azabicyclo (3,2,0) heptane-2- carboxylic.(amoxicillin trihydrate) withBi(V)(inIICIO4-HCI mixture Asian Journal of Chemistry (2008), 20(4), 25392544.. 15. IIaber, J.; Zazhigalov, V.A.; Bacherikova, I. Polish Journal of Chemistry (2008), 82(9), 1839-1852. 16.Liu, Yuan; Liu, IIuiling; Li, Yan. Applied Catalysis, B: Environmental (2008),84(1-2), 297-302. 17 .Wang, Hongsen; Alden,etal.,, F.J.; Abruna, Physical Chemistry Chemical Physics (2008), 10(25), 3739-3751 18. Fernandez M D, Fernandez M J and Guzman G M, J PolymSci Part A: Polym Chem., 1989, 27, 3439-3450. 19. Manickam S P, Venkatarao K and Subbaratnam N R, J PolymSciPolymChem Ed., 1980, 18, 1679. 20..Palanivelu.M*,K.E.N.NallaMohamed.K.E.N,Hidayathullakh an.T and Prem Nawaz ISSN: 0973-4945; CODEN ECJHAO E-Journal of Chemistry 2012, 9(1), 430-434 21.Demappa, T. J Saudi ChemSoc 2005, 3, 563.