Kinetics and Mechanism of Micelle-Catalysed Oxidation of DL-Alanine and Glycine by Chloromine-T

 

Farhat Hasan Khan and Mahboob Alam*

Department of Chemistry, Aligarh Muslim University, Aligarh -2020 02, India

*Corresponding Author E-mail: mahboobchem@gmail.com

 

ABSTRACT:

The kinetics of oxidation of DL-alanine by chloramine-T(CAT) in the absence of any surfactant has been studied and compared with the kinetics parameters observed in the presence of anionic micelles of sodium dodecyl sulfate (SDS) and cationic micelles of cetyl pyridinium chloride (CPC). The observed rate law in respect of [alanine] and [oxidant] is given as:

    d[CAT]

-                               = k / [alanine] [CAT]

        dt

Where k / is a complex function of hydrogen ion concentration as well as surfactant concentration. In the presence of CPC, the kinetic features of decarboxylation of DL-alanine are different from those observed in the case of glycine.

 

KEYWORDS: Kinetics, oxidation, micelle catalysis, chloramine-T, decarboxylation of amino acids

 


 

INTRODUCTION:

The three well known experimental studies which explain the outcome of reactant are thermodynamics, kinetics and chemical equilibrium. Of the three, the kinetic study plays an important role in the determination of rate and mechanism. Without determination of reaction rate, the mechanism of the reaction cannot be fully depicted. Moreover, the kinetic methods have become an essential technique in photochemical, enzymatic and catalytic reactions etc. The study of oxidation of organic compounds is of immense importance both from mechanistic and synthetic points of view. Investigation of the kinetics and mechanism of oxidation and reduction reactions has attracted the attention of chemists world over and mechanisms of several reactions have been clearly defined. The literature on the oxidation of amino acid in the absence of surfactant has been summarized in our earlier communication.1 Very few kinetic studies have been reported in the presence of surfactant. Oxidation of DL-alanine by potassium permanganate in sulphuric acid medium,2 the reaction was first order with respect to both [substrate] and [oxidant].

 

Saxena et. al.3 have studied the kinetics of oxidation of alanine by N-bromosuccinimide (NBS) in perchloric acid medium and Palladium used as catalyst. The reaction exhibits a first order rate dependence with respect to [NBS]. With respect to substrate concentration the reaction order undergoes a change from first to fractional order in the presence of catalyst.

 

MATERIAL AND METHODS:

General:

DL-alanine (SRL), HCl (E.Merck), NaClO4 (Loba chemie), sodium dodecyl sulfate (SDS) (BDH), cetyl pyridinium chloride (CPC) (Loba chemie) and chloramine-T (Loba chemie) were used without further purification. The procedure adopted for kinetic investigation has been reported earlier.1

 

Analysis of products:

For identification of the products, the calculated amount of chloramine-T (CAT) and acidified solution of amino acid was mixed together under the reaction conditions identical to those of the kinetic experiment. The reaction mixture was kept overnight at 30 C. The presence of aldehyde in the product was detected by their characteristic colour reaction with Schiff’s reagent.4 The evolution of ammonia was confirmed by the reaction with the Nesseler’s reagent.5 The presence of amine was detected by carbylamine test.

Carbondioxide evolved during the oxidation of amino acids in the absence and in presence of surfactants was measured volumetrically on passing through the pyrogallol solution interceptors. There was no change in the amount of gas evolved under different conditions for the oxidation of DL-alanine in the presence of SDS but in the presence of CPC the amount of gas evolved decreased on passing through the pyrogallol solution indicating the presence of oxygen as end  product. The oxidation of water is dependent on the formation of Cl+ which is slow process as shown in Figure -A.

 

Stoichiometry:

Varying ratios of amino acid and CAT were mixed in HCl medium at 30ºC and kept for 24 hours. Estimation of unreacted alanine determined by ninhydrin reaction showed that one mole of alanine consumed one mole of CAT.

R/CH(NH2)COOH + RNCl- Na+ + H2O R/CHO + CO2+ RNH2 + NH3 + Na+ + Cl-

Where,  R = CH3C6H4SO2 and R/ = CH3 (Ala)

 

RESULTS AND DISCUSSION:

The kinetics of oxidative decarboxylation of amino acids by acid permanganate was studied by Hussain and Ahmad 6-11 both in the absence and in presence of sodium dodecyl sulphate (SDS). However, chloramine-T which can be used under physiological condition to bring about decarboxylation of amino acid, has not been fully investigated in the presence of anionic and cationic surfactants. The active oxidizing species in chloramine-T system may involve a cationic species (Cl+) and /or neutral species (HOCl) and/or anionic species such as (RN¯Cl). In view of such diverse mode of action, the effect of anionic and cationic  micelles may be significant  in modifying reaction kinetics.

 

General features of kinetics of decarboxylation of DL-alanine:

It is observed that the decarboxylation of alanine in  the absence of surfactant as well as in the presence of anionic micelle of sodium dodecyl sulfate (SDS)  has identical kinetic features as observed in the case of decarboxylation of glycine. However, in the presence of cationic micelle of cetylpyridinium chloride (CPC), the reaction follows different mechanism and cationic micelle of CPC follow a pseudo first order kinetics. The slopes of the plots of 01kobs versus [amino acid] at different concentration of surfactant, hydrogen ion and temperature give the second order rate constant (Table 1). The observed rate law may be written as

       d[CAT]

-                        = 2ik [amino acid] [CAT]  ---------- (1)

                dt

Where 2ik in the absence of any surfactant is represented as 02k and in the presence of SDS as -2k and in the presence of CPC as +2 k.

 

The preliminary investigations showed that the ionic strength of the medium had no effect on the observed rate constant. In view of the above, effect of variation of hydrogen ion concentration on the reaction was observed by changing the concentration of HCl. It was observed that the reaction slows down with increasing concentration of hydrogen ion both in the absence and presence of any surfactant. In all these cases a plot of second order rate constant 2ik versus 1/[H+] was found to be linear. These plots gave a positive intercept, indicating that the reaction consisted of two simultaneous routes of which one remained unaffected by hydrogen ion concentration. This reaction path is represented by the intercept of the plots, giving the second  order rate constant 02kH, -2kH and +2kH in the absence of any surfactant, in the presence of SDS, and in the presence of CPC, respectively. On the other hand, the slopes of these plots represented a reaction path adversely affected by the hydrogen ion concentration. From these slopes the first order rate constant 01kH, -1kH and +1kH    (Table 2) were determined. The equation(1) may, therefore, be written as,

     d[CAT]

-                 = { 2ik + 1ik /[H+]} [amino acid] [CAT] ----(2)

         dt

 

The above equation may be obtained from the mechanism proposed and all major kinetic features may be justified.

 

Reaction mechanism in the absence of surfactant:

The oxidative decarboxylation of amino acids has raised several interesting questions. Some authors have suggested that amino group is the most likely reactive site,12-14  but others have favoured attack at the carboxylic group.15,16  In certain cases protonated amino group has been proposed as the active reaction site. It is reasonable to assume that the oxidant attack requiring withdrawal of electron from the protonated amino acid is less likely to occur even though strong acidic medium amino acid is completely protonated.

 

Under these conditions the oxidant attack at the carboxylic group may be favoured. The oxidant, sodium N-chloro-p-toluenesulphonamide, may also produce a large number of oxidizing species such as, HOCl, Cl2 and H2OCl+. However, it has been shown that at low pH the principal species present in the acidic medium are RNHCl and RNCl17.

 

In view of the above, the proposed mechanism for oxidative decarboxylation of DL-alanine is given in Scheme 1 in the absence of any surfactant.

 

                                       Scheme 1

 


The proposed scheme 1 gives the following rate law.


                                                            KA [A]o [OX]T                                                    [ A]o [H+] [OX]T

reaction rate   = (k1 [H+] + k2 Ko) ¾¾¾¾¾¾ + (k3 [H+] +k4 Ko )   ¾¾¾¾¾¾¾

                                                      ( KA + Ko) [H+]                                  ( KA + Ko) [H+]

                                                                                         [A]o [OX]T                      

= ( k1KA   + k2KAKo / [H+] + k3 [H+] + k4Ko¾¾¾¾¾¾

                                                                              (KA + Ko )

assuming    k3 [H+] << ( KA + Ko )

 

                                  k1KA  +k4Ko       k2KAKo          1

reaction rate  =   ¾¾¾¾¾  + ¾¾¾¾  ¾¾    [A]o [OX]T ………….(3)

                            (KA + Ko )       (KA + Ko )   [H+]

 

=01kobs [OX]T

 

=02k  [A]o [OX]T

 

where,                 k1 KA + k4Ko        k2KAKo              1

            01kobs =   ¾¾¾¾¾  +  ¾¾¾¾  . ¾¾    [A]o  ………………(4)

           (KA  + Ko )        (KA +KO )    [H+]

or

                                01kobs             k1KA + k4Ko            k2KAKo        1

02k  =  ¾¾ =   ¾¾¾¾¾  +  ¾¾¾  .    ¾¾

                         [A]o          (KA +Ko )              (KA +Ko )   [H+]

 

                                           1

        =         02kH + 01kH  . ¾¾                  ………………………….  (5)

                                        [H+

where

                             k1KA + k4Ko                                       k2KAKo

              02kH  =   ¾¾¾¾¾  and    01kH  =  ¾¾¾¾¾

                             (KA+ Ko )                               (KA +Ko )



The plots of 01kobs versus [A]o are found to be linear passing through origin (vide Fig.1) under all conditions in the absence  of surfactant, as predicted by equation (4). The plots of 02k versus 1/[H+] are found to be linear (vide Fig.2) giving a positive intercept which represents 02kH and the slopes give 01kH, varifying equation (5).

 

Reaction mechanism in the presence of surfactant:

It is observed that the reaction rate in the presence of anionic micelles of sodium dodecyl sulfate (SDS) decreases with increasing concentration of the surfactant. On the other hand, in the presence of cetyl pyridinium chloride (CPC) micelles, which are positively charged, the reaction rate increases with increasing concentration of the surfactant.  It has been argued earlier that under the kinetic conditions employed, the oxidation site of amino acid is the carboxylic group. 18,19

 

Reaction kinetics and mechanism in the presence of SDS:

It is observed that the reaction rate in the presence of sodium dodecyl sulfate(SDS) micelles, which are negatively charged, decreases with increasing concentrations of the surfactant. The following mechanism may be suggested as below.


 

The Scheme 2 gives the following rate law

                                                                                                                                                                                                                                                                                                        [A] o  [OX]T

 reaction rate  =  (k1 KA [H+]+k2 KA Ko +k/2 KA Ko Kos [Sn-]+k/1 KAK/os [H+] [Sn-] )    ¾¾¾¾¾        

                                                                                                                                               Ds [H+]

 

                                                                                    [A]o [H+] [OX]T

          + ( k3 [H+] + k4Ko )    ¾¾¾¾¾¾¾

                                                                      Ds[H+]

 

                 k2KA Ko           k/2KAKoKos [Sn­-]                                                                                                              [A]o [OX]

=(k1KA¾¾¾¾  +  ¾¾¾¾¾¾¾  +  k/1KAK/os [Sn-] + k3 [H+] + k4Ko )    ¾¾¾¾¾   

                     [H+]               [H+]                                                                                       Ds

Where Ds =   {(KA + Ko ) + (KA K/os +KoKos)[Sn­-]}

 


reaction rate  =    (k1KA + k4Ko + k/1KA K/os [Sn-])

 

              k2KAKo + k/2 KAKoKos [Sn-]                  [A]o [OX]T

        +   ¾¾¾¾¾¾¾¾¾¾¾       ¾¾¾¾¾¾¾¾¾¾¾¾¾¾    …………..(6)

                             [H+]                            (KA + Ko) + ( KAK/os + KoKos ) [Sn-]

assuming k3 << 1

(a)   At constant  SDS the equation (6) may be simplified to

                                                          1

reaction rate  =        -2kH  + -1kH . ¾¾¾      [A]o [OX]T

                                                        [H+]

 

   =  -2k [A]o [OX]T  =  -1kobs  [OX]T      …………………………...(7)

 

                                                         1

                      -2k  =    -2kH + -1kH  ¾¾                              ..…………………….....(8)

                                                        [H+]

The plots between -1kobs versus [A]o are linear and pass through the origin at different conditions (vide Fig.3)

where

                            (k1KA + k4Ko + k/1KAK/os [Sn- ] )   

            -2kH  =  ¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾

                          (KA + Ko ) + ( KAK/os + KoKos ) [Sn- ]

-2kH represents second order rate constant in the presence of SDS associated with reaction path not affected by [H+]

 

and

                              KA ( k2Ko + k/2KoKos [Sn- ] )  

            -1kH  =  ¾¾¾¾¾¾¾¾¾¾¾¾¾¾

                      (KA + Ko ) + ( KAK/os + KoKos) [Sn- ]

-1kH represents the first order rate constant in the presence of SDS associated with reaction path adversely affected by [H+].

The above  equation stands verified as plots between -2k versus 1/[H+] are found to be linear at different temperatures (vide Fig.4). From the slopes of these plots, the first order rate constant -1kH  showing  dependence on hydrogen ion concentration was calculated at different temperatures whereas, from the intercepts, the second order rate constant signifying the hydrogen ion independent reaction path was also calculated at different temperatures.

 

(b) At constant [H+] the equation (8) may be rearranged to give the Menger20 equation

         1                    1                        1               1

    ¾¾¾¾  =   ¾¾¾¾  +    ¾¾¾¾    ¾¾¾       ……………(9)

     02k - -2k         02-  -2km      02- -2km   K- [Sn- ]

The concentration of micelles, [Sn- ], may be obtained using Shinoda and Hutchinson 21 assumption that above cmc the concentration of unassociated surfactant remains constant.

 

                                Do - cmc

               [Sn- ]  =   ¾¾¾¾

                                     N

Where Do is the concentration of  SDS used and N represent the aggregate number. The value of cmc of SDS has been taken as 8.1 x 10-3 which is only marginally affected by temperature from 25o to 40 oC 22.

The above equation takes the form,

          1                       1                     1                 N             1

     ¾¾¾¾  =   ¾¾¾¾  +    ¾¾¾¾    . ¾¾  .  ¾¾¾¾    ………………..(10)

    2k --2k          02- -2km         02-  -2km      K-      (Do-cmc)

 

This equation has been  tested by plots of 1/ 02k - -2k versus 1/(Do -cmc) which is found to be linear (vide Fig. 5), and the reciprocal of the intercept gives (02k - -2k) from which values of -2km at different temperatures have been calculated and its activation parameters have also been evaluated. The ratio of slope versus intercepts of the above equation gives the value N/K-. Using the aggregate number for SDS, N=62.0 23, the value of K has been also obtained (Table 3). It may be pointed out that  K- in the above reaction mechanism does not represent simple binding parameters between oxidant and the micelles. Rather it is a complex function of Kos and K/os representing oxidant surfactant equilibria.

 

Oxidative degradation of DL –Alanine in the presence of CPC:

In the case of alanine it has been observed that plot between +1kobs versus [alanine] give a small positive intercept, it may be recalled that in case of glycine these plots were passing through origin. The above observation may be accomodated by marginal modification of the scheme proposed for glycine. It is  to be noted further that this difference is not observed in the absence of surfactant and also when reaction is carried out in the presence of SDS. It is, therefore, suggested that the interaction of CPC-oxidant complex, (OXDS)m+  with water is catalyzed in the presence of alanine. This may be shown by the following reaction model.

 

Figure -A

fast

Cl+H2O HCl + H+ + 1/2O2

               In view of the above, a reaction path for the oxidation of water has to be included as shown in step(b).

Reaction Mechanism and Rate Law :

 

The total concentration of CPC is represented by [Do] and concentration pre-micellar aggregates including monomer is [D+], and concentration of positively charged micelle is represented by [Sm+].     

 [D+] = [Do] - [Sm+]    ----------(a)

With the  assumption that oxidant-surfactant complex concentration is always comparatively low, the following mechanism may be proposed in scheme 3.

 

                                        k/ H2O

(OXDS)m+ + H2O           --------------           -------(b)

                              Scheme 3

 

Using the mass-balanced equation for amino acid [A] and [AH+] may be obtained in terms of total concentration of amino acid.

[A]o = [A] + [AH+]

           KA [A]o                                                                   [H+] [A]o

[A] =  ¾¾¾   and         [AH+]  =   ¾¾¾¾

             [D]                                               [D]

where  D  =  ( KA + [H+] )

 

Using the mass balanced equation for the concentration of oxidant species, the values of oxidizing species may be obtained in terms of [OX]T .

[OX]T = [OX] + [OXH] + [OXD] + [OXDS]m+

       

  = [OX] (1 + [H+]/Ko + [D+]/Kd + Kos [Sm+][D+]/Kd)

  

                 [OX]

               = ¾¾¾  (KdKo +  Kd [H+] + Ko [D+] + KoKos [D+] [Sm+])     

                    KdKo

 

                   [OXH]

   [OX]T¾¾¾ (KdKo +  Kd [H+] + Ko [D+] + KoKos [D+] [Sm+])       

                   Kd [H+]

 

       [OXD]

              =  ¾¾¾ (KdKo +  Kd [H+] + Ko [D+] + KoKos [D+] [Sm+])      

       Ko [D+]

          

            [OXDS]m+

              =   ¾¾¾¾¾¾¾  (KdKo +  Kd [H+] + Ko [D+] + KoKos [D+] [Sm+])

        KoKos [D+] [Sm+]

 

[OXDS]m+

              =   ¾¾¾¾¾¾¾  D

        KoKos [D+] [Sm+]

 

Where

            D =  (KdKo +  Kd [H+] + Ko [D+] + KoKos [D+] [Sm+])

Simplifying

DD =  (KA + [H+]) (Kd Ko +  Kd [H+] + Ko [D+] + KoKos [D+] [Sm+])      ---------(11)

from equation (a), putting the value of [D+] = [Do] - [Sm+] in equation (11)

DD =  KA  (KdKo + Ko [Do-Sm+] +  KoKos [Do-Sm+] [Sm+]) + (KA Kd + KdK+ Ko[Do-Sm+]                

                 + KoKos [Do-Sm+] [Sm+])[H+] + ..........

neglecting [H+]2 and [Sm+]2 and assuming KA< 1 and Ko <1

DD = (KA Kd + KdK+ KoKos [Do] [Sm+]) [H+]

        = D/s [H+]

where

D/s = (KA Kd + KdK+ KoKos [Do] [Sm+])             ---------------- (12)

 

The rate law may obtained from scheme 3 is given below:

Reaction rate   = (k1[OXH] + k2[OX]+k/5[OXDS]m+)[A]+(k3[OXH]+k4[OX])[AH+]

                                                                                                            + k/ H2O [OXDS]m+

KA[A]o[OX]T                    

                        = (k1Kd[H+] +k2KdKo + k/5KoKos[Do] [Sm+])  ¾¾¾¾¾¾

                                                                                                   D/s [HH+]

 

                                                                         [A]o[OX]T [H+]          k/H2O KoKos[Do] [Sm+][OX]T

       +  (k3Kd[H+] + k4KdKo)   ¾¾¾¾¾¾¾   +  ¾¾¾¾¾¾¾¾¾¾¾¾

                                                                            D/s [H+]                                D//

 

                                                                                                                                      [A]o[OX]T

= {k1KAKd + k2KAKdKo/[H+] +k/5KAKoKos[Do] [Sm+]/[H+] + k3Kd[H+] +k4KdKo}   ¾¾¾¾¾

                                                                                                                                          D/s

 

                                                                    k/ H2O KoKos[Do] [Sm+][OX]T

                                                            +    ¾¾¾¾¾¾¾¾¾¾¾¾

                                                                                       D//

 

 

Assuming k3 << 1

                                                              k2KAKdKo+ k/5KAKoKos[Do] [Sm+]     [A]o[OX]T

Reaction rate =   (k1KAKd +k4KdKo) +  ¾¾¾¾¾¾¾¾¾¾¾¾¾¾    ¾¾¾¾   + ks[OX]T

                                                                                    [H+]                                      D/s

Reaction rate = (+2k[A]+ ks) [OX]T = +1kobs[OX]T

where +1kobs  +2k[A]+ ks                                                                   ----------(13)

            k/ H2O KoKos[Do] [Sm+][OX]T

ks =     ¾¾¾¾¾¾¾¾¾¾¾¾

                         D//

and

                                  (k1KA +k4Ko )   Kd                                (k2KAKo+ k/5KAKo K/os[Do] [Sm+] ) Kd        1

+2k =    ¾¾¾¾¾¾¾¾¾¾¾¾      +     ¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾    ¾¾¾

            ( KA+ Ko + Ko K/os[Do] [Sm+])Kd        (KA+ Ko + Ko K/os[Do] [Sm+]) Kd               [H+]

                                                                                                                        ----------(14)

and Kos/Kd = K/os

equation (13) has been verified from the linear plots between +1kobs versus [A]o which ks as intercept and the second order rate constant, +2k, is given by the slopes under different conditions (figs. 6)

 

At Constant CPC :

The dependence of reaction rate on hydrogen ion concentration has been studied at constant CPC and other kinetics parameters. The equation (13) may be rearranged to show that the dependence of +2k on [H+] as below

 

reaction rate = [{+2kH + +1kH .  1/[H+]} [A]o + ks ­][OX]T

 

                                            +2k[A]o [OX]+  ks[OX]T                                                          

 

+2k = {+2kH + +1kH .  1/[H+]}                                                      -----------(15)

Where, from equation (14)

 

                                               k1KA + k4Ko                                                         k2KAKo+ k/5KAKo K/os[Do] [Sm+]

+2kH =   ¾¾¾¾¾¾¾¾¾¾¾¾¾   and   +1kH = ¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾

( KA+ Ko) + Ko K/os[Do] [Sm+]                       (KA+ Ko) + Ko K/os[Do] [Sm+]

The equation (15)  is  verified  as plots between +2k versus 1/[H+] are found to be linear at different temperatures (vide Fig. 7).  The intercepts of these plots give +2kH and the slopes, +1kH.

 

 

At Constant hydrogen ion concentration

On keeping hydrogen ion concentration constant, the dependence of observed rate constant on [CPC] may be obtained as under from equation (15)

 

 

 

                                            k1KA + k4Ko                              k2KAKo+ k/5KAKo K/os[Do] [Sm+]        1

+2k =    ¾¾¾¾¾¾¾¾¾¾¾¾       +    ¾¾¾¾¾¾¾¾¾¾¾¾¾¾     ¾¾

 ( KA+ Ko)+Ko K/os[Do] [Sm+]           (KA+ Ko) + Ko K/os[Do] [Sm+]            [H+]

 

                              k1KA + k2KAKo/[H+] + k4Ko                k/5KAKo K/os[Do] [Sm+]/[H+]    

       =       ¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾                   -------(16)

( KA+ Ko) + Ko K/os[Do] [Sm+]      (KA+ Ko) + Ko K/os[Do] [Sm+]           

 

Dividing equation (16) by (KA + Ko),  we get

                          02k                             +2km K+ [Do] [Sm+]

+2k =    ¾¾¾¾¾¾¾¾  +     ¾¾¾¾¾¾¾¾                                                -------(17)           

                 1 + K+ [Do] [Sm+]                  1 + K+ [Do] [Sm+]

where

k1KA + k2KAKo/[H+] + k4Ko 

02k        =     ¾¾¾¾¾¾¾¾¾¾¾

           ( KA+ Ko)                                      

as obtained for reaction in the absence of surfactants

  k/5KA                                 Ko K/os

+2km       =      ¾¾¾  and  K+¾¾¾¾                                           

  [H+]                       ( KA+ Ko)

Subtracting 02k from both side in equation (17).

                          02k                              +2km K+ [Do] [Sm+]

+2k - 02k=  ¾¾¾¾¾¾¾      +        ¾¾¾¾¾¾¾¾   - 02k     

                 1 + K+ [Do] [Sm+]                  1 + K+ [Do] [Sm+]

 

            02k ++2km K+ [Do] [Sm+] - 02k -  02k K+ [Do] [Sm+]

=          ¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾¾

                                    1 + K+ [Do] [Sm+]

 

                  (+2km - 02k) K+ [Do] [Sm+]

+2k - 02k= ¾¾¾¾¾¾¾¾¾¾¾                                                 ----------------(18)

                     1 + K+ [Do] [Sm+]

 

Taking the reciprocal of equation (18), we get,

1                  1                    1                     1

       ¾¾¾  =  ¾¾¾¾   +  ¾¾¾¾    ¾¾¾¾¾¾                            .                     

     +2k - 02k        +2km - 02k      +2km - 02k      K+ [Do] [Sm+]

where

               Do - cmc

[Sm+] =   ------------                 

                     N

then

             1                      1                   1                        N

      ¾¾¾¾  =    ¾¾¾¾¾  + ¾¾¾¾ . ¾¾¾¾¾¾                                

     +2k - 02k           +2km - 02k         +2km - 02k    K+ (Do -  cmc)Do

Where Do is the concentration of CPC used and N represents the aggregate number. The value of cmc for CPC has been taken as 9.0x10-4 which is only marginally affected by temperature change from 25o to 40o C22. The above equation has been tested by plots of 1/+2k -02k versus 1/(Do -cmc) Do which is found to be linear (vide Fig. 8) and the reciprocal of intercept of these plots gives (+2km - 02k ) from which values of +2km at different temperatures have been calculated alongwith its activation parameters and K+ calculated (Table-4). It may be pointed out again that K+ does not represent simple binding parameter between oxidant and the micelles.

The thermodynamics activation parameters related to different k’s have been shown in table-5.

           

Table 1. Temperature dependence of 2k for alanine

Temps. (°C)

In the absence of surfactant

[SDS] = 0.01 M

[SDS] = 0.02 M

[SDS] = 0.03 M

[CPC] = 0.002 M

[CPC] = 0.003 M

[CPC] = 0.004 M

02k ×104

(s-1mol-1dm3)

-2k ×104

(s-1mol-1dm3)

-2k ×104

(s-1mol-1dm3)

-2k ×104

(s-1mol-1dm3)

+2k ×104

(s-1mol-1dm3)

+2k ×104

(s-1mol-1dm3)

+2k ×104

(s-1mol-1dm3)

30

35

40

170.0

240.0

324.0

132.0

190.0

240.0

104.0

144.0

190.0

92.0

126.0

170.0

190.0

270.5

360.0

230.0

312.5

400.0

264.0

360.0

480.0

[H+] = 0.05 mol dm-3 and [CAT] = 2 × 10-3 mol dm-3

Table 2. Temperature dependence of 1kH and 2kH *

Temps. (°C)

In the absence of  surfactant

In the presence of SDS ψ

In the presence of CPC

30

35

40

0.72

0.84

1.10

3.0

6.9

12.0

0.48

0.60

1.00

3.2

5.4

8.5

0.80

1.04

1.40

6.4

8.0

11.0

*  1kH and 2kH are obtained from slopes and intercepts of  2k versus 1/ [H+]

ψ [SDS] = 0.01 mol dm-3   † [CPC] = 0.002 mol dm-3 , [Ala] =  0.15 mol dm-3 and [CAT] = 2 × 10-3 mol dm-3

 

Table 3. Temperature dependence of -2km and K_ in the presence of SDS

Temps. (°C)

-2km ×103/s-1mol-1dm3

K_ /104 mol-1dm3

30

35

40

9.0

11.5

15.8

2.8

2.2

2.9

                                 

 

Table 4. Temperature dependence of +2km and K+ in the presence of CPC

Temps. (°C)

+2km ×103/s-1mol-1dm3

K+ /104 mol-1dm3

30

35

40

57.0

64.0

72.4

2.3

3.6

4.3

 

Table 5. Kinetic data for the oxidation of Alanine by Chloramine-T in acidic medium.

Rate constant used

Thermodynamic parameters *

Nature of rate constant

Ea/kj mol-1

ln A

ΔG# kJ mol-1

ΔH# kJ mol-1

ΔS# Jmol-1K-1

a

02k

 

-2k

 

+2k

b

02kH

 

-2kH

 

+2kH

 

01kH

 

-1kH

 

+1kH

 

-2km

 

+2km

 

58.2

 

49.9

 

41.6

 

97.7

 

74.8

 

49.8

 

24.9

 

49.8

 

41.5

 

49.8

 

20.7

 

19.0

 

15.5

 

12.5

 

33.8

 

23.9

 

14.7

 

2.7

 

12.2

 

9.4

 

15.1

 

5.4

 

84.5

 

85.2

 

84.2

 

88.9

 

88.7

 

86.9

 

92.5

 

76.1

 

92.2

 

86.1

 

81.5

 

55.7

 

47.4

 

39.1

 

97.2

 

72.3

 

47.3

 

22.4

 

47.3

 

38.9

 

47.3

 

18.2

 

-95.0

 

-124.7

 

-148.8

 

27.4

 

-54.1

 

-130.7

 

-231.4

 

-95.1

 

-175.9

 

-128.1

 

-208.9

 

01kobs / [A]

 

-1kobs / [A]

 

+1kobs / [A]

 

 

Associated with reaction path unaffected by [H+]

 

 

 

Associated with reaction path adverse affected by [H+]

 

 

Associated with reaction in micellar phase

* Thermodynamic parameters were determined in the absence and presence of SDS and CPC in HCl medium at 303 K

(a) [H+] = 0.05 mol dm-3, (b) [Ala] = 0.15 mol dm-3,

[SDS] = 0.01 mol dm-3, [CPC] = 0.002 mol dm-3 and

[CAT] = 2 × 10-3 mol dm-3

 

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Received on 10.10.2010        Modified on 27.10.2010

Accepted on 04.11.2010        © AJRC All right reserved

Asian J. Research Chem. 4(3): March 2011; Page 468-480