Low Enzyme ProcBioc

9
Kinetics of the enzymatic hydrolysis of palm oil by lipase Sulaiman Al-Zuhair, Masitah Hasan, K.B. Ramachandran * Department of Chemical Engineering, University of Malaya, 50603 Kuala Lumpur, Malaysia Received 28 March 2002; received in revised form 23 August 2002; accepted 18 September 2002 Abstract The kinetics of the enzymic hydrolysis of palm oil using lipase in a batch reactor has been investigated. The lipase enzyme used was not ester bond position selective and its activity at the interface was higher compared to that in the bulk. A mathematical model taking into account the mechanism of the hydrolysis reaction and the effect of interfacial area between the oil phase and the aqueous phase containing the enzyme was developed. A correlation between the interfacial area and the operating conditions including agitation speed and oil volume fraction was established experimentally. The kinetic parameters were estimated by fitting the data to the model and comparing with previously reported values. The kinetic model represented the experimental data accurately. # 2002 Elsevier Science Ltd. All rights reserved. Keywords: Lipase hydrolysis; Palm oil; Kinetic model; Interfacial area 1. Introduction Hydrolysis of oil and fat is an important industrial operation. The products, fatty acids and glycerol are basic raw materials for a wide range of applications. Fatty acids are used as a feedstock for the production of oleochemicals such as fatty alcohols, fatty amines and fatty esters. These oleochemicals are used as lubricant greases, anti-block agents, plastisizers, and emulsifiers and as ingredients in the manufacture of soaps, deter- gents, and animal feed. The present method of hydrolysis of crude palm oil to fatty acids and glycerol involves high temperature and pressure operation for about 2 h to achieve the desired 96 /99% conversion [1]. When these extreme conditions are employed, polymerisation of fat and by-product formation takes place resulting in dark fatty acids and discoloured aqueous glycerol solution. To remove the colour and the by-products, further purification by distillation is required. Both hydrolysis and subsequent distillation of fatty acids are energy intensive processes [1]. Hence, it would be advantageous to develop a low- energy process that produces a colourless product. Recently, enzymic splitting of fats has gained increas- ing attention, as lipase (triacylglycerol acylhydrolase) is now available at reasonable cost. The industrial use of lipase for splitting lipids as an energy-saving process has been addressed in the literature, especially for producing high value-added products or heat sensitive fatty acids [1]. However, a reliable kinetic model to predict the hydrolysis rate is still lacking. Lipase catalysed reactions take place at the interface between the aqueous phase containing the enzyme and the oil phase [2,3]. Hence, the interfacial area, which is affected by mixing and substrate concentration, influ- ences the rate of reaction. All previous studies to establish a rate equation for the enzymic hydrolysis of lipids in batch reactors have assumed that the total interfacial area between oil phase and the aqueous phase remains constant, even when the agitation speed or substrate concentrations are varied. This assumption is valid only if the substrate (oil) is dissolved in an organic solvent (such as hexane), its concentration is changed within that organic phase and the volume fractions of the organic phase containing the substrate and the aqueous phase containing the enzyme are kept constant. Although the method of dissolving the oil in the organic phase and its subsequent hydrolysis using lipase enzyme * Corresponding author. Tel.: /60-3-7967-5293; fax: /60-3-7967- 5319. E-mail address: [email protected] (K.B. Ramachandran). Process Biochemistry 38 (2003) 1155 /1163 www.elsevier.com/locate/procbio 0032-9592/03/$ - see front matter # 2002 Elsevier Science Ltd. All rights reserved. doi:10.1016/S0032-9592(02)00279-0

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Transcript of Low Enzyme ProcBioc

  • Kinetics of the enzymatic hydrolysis of palm oil by lipase

    Sulaiman Al-Zuhair, Masitah Hasan, K.B. Ramachandran *

    Department of Chemical Engineering, University of Malaya, 50603 Kuala Lumpur, Malaysia

    Received 28 March 2002; received in revised form 23 August 2002; accepted 18 September 2002

    Abstract

    The kinetics of the enzymic hydrolysis of palm oil using lipase in a batch reactor has been investigated. The lipase enzyme used

    was not ester bond position selective and its activity at the interface was higher compared to that in the bulk. A mathematical model

    taking into account the mechanism of the hydrolysis reaction and the effect of interfacial area between the oil phase and the aqueous

    phase containing the enzyme was developed. A correlation between the interfacial area and the operating conditions including

    agitation speed and oil volume fraction was established experimentally. The kinetic parameters were estimated by fitting the data to

    the model and comparing with previously reported values. The kinetic model represented the experimental data accurately.

    # 2002 Elsevier Science Ltd. All rights reserved.

    Keywords: Lipase hydrolysis; Palm oil; Kinetic model; Interfacial area

    1. Introduction

    Hydrolysis of oil and fat is an important industrial

    operation. The products, fatty acids and glycerol are

    basic raw materials for a wide range of applications.

    Fatty acids are used as a feedstock for the production of

    oleochemicals such as fatty alcohols, fatty amines and

    fatty esters. These oleochemicals are used as lubricant

    greases, anti-block agents, plastisizers, and emulsifiers

    and as ingredients in the manufacture of soaps, deter-

    gents, and animal feed.

    The present method of hydrolysis of crude palm oil to

    fatty acids and glycerol involves high temperature and

    pressure operation for about 2 h to achieve the desired

    96/99% conversion [1]. When these extreme conditionsare employed, polymerisation of fat and by-product

    formation takes place resulting in dark fatty acids and

    discoloured aqueous glycerol solution. To remove the

    colour and the by-products, further purification by

    distillation is required. Both hydrolysis and subsequent

    distillation of fatty acids are energy intensive processes

    [1]. Hence, it would be advantageous to develop a low-

    energy process that produces a colourless product.

    Recently, enzymic splitting of fats has gained increas-

    ing attention, as lipase (triacylglycerol acylhydrolase) is

    now available at reasonable cost. The industrial use of

    lipase for splitting lipids as an energy-saving process has

    been addressed in the literature, especially for producing

    high value-added products or heat sensitive fatty acids

    [1]. However, a reliable kinetic model to predict the

    hydrolysis rate is still lacking.

    Lipase catalysed reactions take place at the interface

    between the aqueous phase containing the enzyme and

    the oil phase [2,3]. Hence, the interfacial area, which is

    affected by mixing and substrate concentration, influ-

    ences the rate of reaction. All previous studies to

    establish a rate equation for the enzymic hydrolysis of

    lipids in batch reactors have assumed that the total

    interfacial area between oil phase and the aqueous phase

    remains constant, even when the agitation speed or

    substrate concentrations are varied. This assumption is

    valid only if the substrate (oil) is dissolved in an organic

    solvent (such as hexane), its concentration is changed

    within that organic phase and the volume fractions of

    the organic phase containing the substrate and the

    aqueous phase containing the enzyme are kept constant.

    Although the method of dissolving the oil in the organic

    phase and its subsequent hydrolysis using lipase enzyme

    * Corresponding author. Tel.: /60-3-7967-5293; fax: /60-3-7967-5319.

    E-mail address: [email protected] (K.B. Ramachandran).

    Process Biochemistry 38 (2003) 1155/1163

    www.elsevier.com/locate/procbio

    0032-9592/03/$ - see front matter # 2002 Elsevier Science Ltd. All rights reserved.doi:10.1016/S0032-9592(02)00279-0

    mailto:[email protected]

  • has several advantages, it requires the addition of an

    organic solvent in the reaction mixture, which needs to

    be separated later for reuse.The preferable method for the enzymic hydrolysis of

    the oil is to bring directly in contact the aqueous phase

    containing the enzyme and the oil phase. For this

    system, it is not correct to assume that the total

    interfacial area is constant, irrespective of the intensity

    of agitation and the volume fraction of oil and water.

    Hence, to verify the kinetics, a model taking into

    account the change in interfacial area with agitation

    speed and substrate concentration is needed. Such a

    model will be useful in optimal design of a batch or a

    continuous hydrolysis process.

    The enzymic lipolytic reaction is an important exam-

    ple of an heterogeneous catalytic reaction. The water-

    soluble enzymes act at the interfaces of the insoluble

    lipid substrate. The X-ray crystallography technique has

    been used to show the existence of a preferable config-

    uration change of the enzyme at the water/lipid inter-face [4]. This interfacial activation phenomenon is

    thought to be due to the unfolding of an amphiphilic

    peptidic loop, covering the active sites of the enzyme

    when the enzyme is attached to the lipid at the interface.

    When contact occurs with a lipid/water interface, theenzyme undergoes a conformational rearrangement,

    rending the active site accessible to the substrate. It issuggested in this study that determining the activity of

    the enzyme at the interface, and comparing it to that in

    the bulk, would help to strengthen this understanding.

    Determination of the fatty acids produced from the

    enzymic hydrolysis of oil as a function of time is widely

    addressed in the literature, being the direct way to

    determine the reaction rate. This can be done by two

    methods, namely: (1) titration of the products afterextraction using a auto-titrator and (2) gas chromato-

    graphic determination of the fatty acids produced.

    Unlike the titration method that gives the overall fatty

    acids concentration, the gas chromatographic method

    Nomenclature

    a Specific free interfacial area (m1)at Specific total interfacial area (m

    1)Am Enzyme molar area (m

    2 mol1)C Proportionality constant defined by Eq. (8)C* Constant defined by Eq. (13)Dmean Surface mean diameter (mm)Do Overall mean diameter (mm)E Free enzyme (mole/total reactor volume) (mol m3)E* Penetrated enzyme (mole/total interfacial area) (mol m2)E*S Enzyme/substrate complex (mole/total interfacial area) (mol m2)Et Total active enzyme (mol m

    3)(Et)m Total enzyme mass concentration (g m

    3)k Constant defined by Eq. (19)kcat Catalytic rate constant (min

    1)kd Desorption rate constant (min

    1)kp Adsorption rate constant (m

    2 min1)k Reaction rate constants (m3 mol1 min1)k1 Reaction rate constant (min

    1)Ke Equilibrium constant of E*S (mol m

    3)

    Km? Apparent Michaelis constant (mol m3)

    LU Lipase unitm Constant defined by Eq. (19)n Constant defined by Eq. (19)P* Interface product concentration (mole/total interfacial area) (mol m2)P Bulk product concentration (mole/total reactor volume) (mol m3)S Bulk substrate concentration (mole/total reactor volume) (mol m3)T Temperature (K)Greek letters

    a Constant defined by Eq. (19)f Volume fraction of oil in the reaction mixtureu Area fractionv Agitation Speed (rpm)n Reaction rate (mol m3 min1)

    S. Al-Zuhair et al. / Process Biochemistry 38 (2003) 1155/11631156

  • provides data on the progressive production of each

    fatty acid. The results of the gas chromatography would

    help in determining the selectivity of the enzyme with

    respect to the ester-bonds in the glycerol chain of thepalm oil, to hydrolyse. It is known that some lipases

    favour the terminal ester bonds of the oil glycerol chain,

    and are called 1,3 lipases [5]. In most oils, the saturated

    fatty acids are naturally situated on the terminal

    positions of glycerol, while the unsaturated ones are in

    the centre. Examining the progressive production of

    different fatty acids, saturated such as palmitic acid, and

    unsaturated such as oleic acid, would help to determinewhether or not the lipase used prefers to attack the

    terminal-ester bonds.

    2. The kinetic model

    The mechanistic model proposed to describe the

    action of lipase on palm oil hydrolysis is similar to

    that proposed by Tsai and Chang [2]. The first step is thereversible adsorption of a water-soluble enzyme at the

    interface to produce a penetrated enzyme, E*. In order

    to develop the model equations, the absorption rate is

    assumed to be proportional to the free enzyme concen-

    tration, E and the specific free interfacial area, a . The

    substrate, S , then binds to the adsorbed enzyme giving

    an interfacial enzyme/substrate complex, E*S [2,6].This complex then generates the product, P* at theinterface, while regenerating the enzyme in the form of

    E*. The product, P*, then desorbs from the interface

    into the organic phase to give rise to product P . The

    steps up to the production of product P* are illustrated

    in Eqs. (1)/(3)

    Ea?kp

    kd

    E (1)

    ES ?k1

    k1

    ES (2)

    ES 0kcat

    EP (3)

    The concentration of the enzyme/substrate complexand the adsorbed enzyme are both assumed constant

    (quasi-steady state) [2,7], and the interfacial product

    concentration, P*, is assumed to be proportional to the

    free product concentration, P [2]. It is also assumed thatthe interfacial product concentration, P*, is low and

    hence it occupies negligible fraction of the total inter-

    facial area. With the above mechanism and assump-

    tions, the model equations can be written as:

    kpE a(kdk1S)E(k1kcat)ES0 (4)k1E S(k1kcat)ES0 (5)ataAm(EES)at (6)EtEat(EES) (7)

    Since,

    PCP=at (8)

    The rate of product formation can be expressed as:

    ydP

    dt

    at

    C

    dP

    dt

    at

    CkcatES (9)

    Solving Eqs. (4)/(9) simultaneously, the final equa-tion for the rate of reaction can be expressed as:

    y

    kcatat(G1 G2)

    CAmS

    kcat k1k1

    S(10)

    where

    G1

    kcat k1

    k1at

    kd

    at at AmEt

    at AmEt

    at

    S

    kcat k1

    k1

    S

    (11)

    G2

    G214AmEt

    at

    (12)

    and

    C2C (13)

    Eqs. (10)/(13) are the corrected version of theequations derived by Tsai and Chang [2] for the

    hydrolysis of lipids by lipase enzyme. This equation is

    applicable for predicting the hydrolysis rate for any

    enzyme concentration. Hydrolysis reactions are usuallycarried out at low enzyme concentration and it is useful

    to get a simplified rate expression, applicable for such a

    condition. At low enzyme concentrations, it has been

    shown experimentally that the area occupied by the

    enzyme that has penetrated the interface is negligible in

    comparison to the total interfacial area [2,7]. In this

    case, the free specific interfacial area, a , will be equal to

    the total specific interfacial area, at. Replacing a with atin Eqs. (4)/(10), a simplified form of rate equation atlow enzyme concentration can be derived as given

    below:

    y

    kcatEt

    CS

    (kcat k1)(kd kpa

    2t )

    k1kpa2t

    S

    (14)

    The above rate equation can be further simplified to:

    yk+catEtS

    Ke

    kd

    kpa2t

    1 S

    (15)

    where Ke(kcatk1)=k1 and k+catkcat=C/

    S. Al-Zuhair et al. / Process Biochemistry 38 (2003) 1155/1163 1157

  • The above rate expressions agree in the basic form

    with the previous models [2,6,7]. However, the rate

    constants in the previous models were based on pro-

    portionality constants that had no link to the reactionmechanism and this led to lumped rate constants.

    3. Materials and methods

    3.1. Materials

    Lipase (Type-VII) from Candida rugosa was obtained

    from Sigma Chemical Co., Japan. Refined palm oil usedin this study was obtained from Lam Soon (M) Berhad,

    Malaysia. Analytical grade isopropanol was obtained

    from Scharlau Chemicals Co., Spain. Gum Arabic, oleic

    acid methyl ester, linoleic acid methyl ester, stearic acid

    methyl ester and palmitic acid methyl ester were

    obtained from Sigma Chemicals Co., Germany. All

    other chemicals used were of analytical grade.

    3.2. Hydrolysis reactor

    The reactor consisted of a glass flask with a capacity

    of 600 ml and an inside diameter of 9 cm. A four-bladed

    paddle impeller (5 cm in diameter) immersed in the

    solution at one-third-depth level was used for agitation.

    No baffle plates were provided. The total volume of the

    reaction mixture was 400 ml at the beginning of eachrun, consisting of palm oil and distilled water. The

    reactor was placed in a temperature controlled water

    bath and a cover was used to prevent evaporation of

    water during the progress of the experiment. After the

    desired conditions were reached in the bioreactor, the

    required amount of enzyme solution was added to

    initiate the reaction. Samples were withdrawn from the

    reactor at regular intervals for analyses.

    3.3. Determination of enzyme activity

    The method is based on the hydrolysis of tributyrin by

    the enzyme and titrating the butyric acids produced with

    0.05 NaOH in distilled water [8]. The alkali consump-

    tion is registered as a function of time under standard

    conditions of 30.0 8C and pH 7.0, using an auto-titrator(Metrohm 702 SM titrino). From the amount of alkali

    consumed, the equivalent amount of butyric acid in the

    samples was calculated and the enzyme activity deter-

    mined. The enzyme activity is expressed in lipase unit

    (LU), where the 1 LU is defined as the amount of

    enzyme which liberates 1 mmol titrable butyric acid permin at 30 8C.

    In addition to determining the activity of the enzymeused for the kinetic studies, additional analyses were

    carried out to compare the activity of the enzyme in the

    bulk to that at the interface. The interface was created

    using the method proposed by Rooney and Weatherley

    [9]. One gram of enzyme was dissolved in 100 ml of

    distilled water and coated with a thin layer of palm oil.

    The mixture was kept at room temperature for about 2 hin a 100-ml beaker. The temperature was then reduced

    to /20 8C by placing the beaker in a freezer and leftovernight. The solid upper oil layer was then peeled off

    and the solid ice surface wiped clear of any remaining

    oil. A sharp knife was used to scrap off small samples

    from the interface and its activity was then determined

    as described in the previous paragraph.

    3.4. Determination of fatty acids concentration

    A gas chromatograph was used to determine the fatty

    acid composition of the hydrolysed samples. In order to

    determine the fatty acids using a gas chromatograph,

    esterification of the fatty acids to their respective methyl

    esters was carried out first, following the AOCS Official

    Method Ce 1/62 [10]. After esterification, a sample of 1ml of the fatty acids methyl ester was withdrawn into a10-ml syringe. The sample was then injected into the gaschromatograph (Chemito GC 8610), equipped with a

    flame ionisation detector, and area of each peak was

    determined. The column was conditioned prior to use

    and the operating conditions used for the analysis were,

    oven temperature 200 8C, injector and detector tem-peratures 240 8C. The peaks areas obtained withsamples were compared with the peaks areas obtained

    with three different dilutions of the standards, prepared

    by dissolving different weights of oleic, linoleic, stearic

    and palmitic acid methyl esters in heptane. These are the

    main fatty acids produced by the hydrolysis of palm oil.

    A straight-line method was used to determine the

    amount of fatty acids in the reactor sample.

    3.5. Determination of oil drop size

    The method proposed by Mukataka et al. [7] was used

    to determine the specific interfacial area at various

    operating conditions. Five minutes after mixing the oil

    and the aqueous phase, a sample was withdrawn and

    placed on a slide for observation under microscope. A

    microscope, model Leica DMLS, linked to a computer

    software image analyser, VIDEO TEST / MASTER 4.0, wasused to determine the droplets size of palm oil in water.

    Around 200/400 photographs of drops, which wereenlarged 4/20 times were taken. The drops were dividedinto five categories: drops of diameter smaller than 100

    mm, 100/200 mm, 200/300 mm, 300/400 mm, and largerthan 400 mm. The mean diameter of each category wascalculated using the following equation:

    Dmean; j X

    d3j=X

    d2j (16)

    S. Al-Zuhair et al. / Process Biochemistry 38 (2003) 1155/11631158

  • The overall surface mean diameter, which takes into

    account the respective portions of each size category in

    the oil/water mixture, was calculated using the equation:

    Do1=X

    (uj=Dmean;j) (17)

    where the subscript j stands for each of the five different

    size categories.

    From the values of the overall mean diameter,interfacial area per unit volume of the oil/water mixture

    in the bi-phasic system was calculated using the follow-

    ing Eq. (18).

    at6f=Do (18)

    where f is the oil volume fraction.

    For each pre-specified operating conditions, the

    above procedure was repeated three times; after 5, 10

    and 15 min from the beginning of each experimental runand a statistical average of the three runs was deter-

    mined. It has been found that the results were repro-

    ducible and the standard deviation of the different runs

    under the same operating conditions was in the range of

    2.1/57.8 mm, which means the errors have not exceeded10%.

    Many models have been previously proposed to

    correlate the specific interfacial area as a function ofagitator speed and volume fraction at constant tem-

    perature [11/13]. Calderbank [13] also included in hiscorrelation the effect of temperature on the average

    drop diameter. After considering the equipment para-

    meters and the physical properties of the fluids in the

    experiment, the most suitable correlation for these

    studies is that of Calderbank [13], given below:

    at6f

    DoavmfTk=( 1nf) (19)

    The above equation was used to correlate the total

    specific interfacial area to various operating conditions.

    3.6. Determination of hydrolysis rate

    The enzyme mixture was prepared by dissolving

    different weights of solid lipase powder in 100 ml of

    distilled water and 10 ml of this solution was added tothe reaction mixture. Samples of 10 ml volume were

    withdrawn from the reaction mixture at desired time

    intervals. The water in the samples was evaporated

    under a vacuum of 300 mbar using Buchi Rota Vapor

    (R-144) and the remaining fatty acids were extracted in

    50 ml of isopropanol. The extracted fatty acids were

    titrated with 0.05 N NaOH solution in isopropanol to

    determine the concentration of fatty acids, using anauto-titrator. A plot of fatty acid concentration

    (mol m3) against sample time was made and the slope

    of the plot at the origin gave the initial rate of reaction.

    4. Results and discussions

    4.1. Interfacial enzyme concentration

    To determine the lipase activity, at the interface, five

    repetitive experiments were carried out and a statistical

    average was determined. The results showed that the

    activity of the enzyme at the interface was 15.7% higher

    than that in the bulk. This observation agrees with the

    result reported by Rooney and Weatherley [9] who

    found that the activity at the interface was higher than

    that in the bulk, however, they did not determine the

    percentage increase. The increase in the activity at the

    interface was explained using X-ray studies of the 3D

    structure of lipase [4] and the conformation change of

    the enzyme at the interface. This encourages the enzyme

    to migrate to the interface from the bulk and expose the

    active sites by folding the protein chains in a preferable

    manner.

    4.2. Fatty acids profile

    The percentages of the main saturated fatty acid,

    palmitic acid, and the main unsaturated one, oleic acid

    produced with time is shown in Fig. 1. The figure shows

    that both percentages remained almost constant with

    time and equalled to that found in the palm oil itself,

    i.e., 45.5% palmitic acid and 39.8% oleic acid [5]. This

    indicates that the lipase used was not a position selective

    enzyme, otherwise, the production of palmitic acid

    would be much faster than the production of oleic

    acid. In Fig. 2, the results obtained by the gas

    chromatograph are compared to the results found by

    the auto-titrator method. The average difference in

    readings between these two methods is about 10%,

    which is relatively low. Since, the auto-titrator method is

    less time consuming, it was used to determine the

    reaction rate in subsequent experiments.

    Fig. 1. Percentages of palmitic acid and oleic acid produced with time.

    S. Al-Zuhair et al. / Process Biochemistry 38 (2003) 1155/1163 1159

  • 4.3. Determination of interfacial area

    The effect of different stirrer speeds and different oil

    volume fractions on the total interfacial area was

    measured at 45 8C and the results are shown in Fig. 3.It can be clearly seen that increasing the agitation speed

    and/or the volume fraction resulted in increased total

    interfacial area. This observed effect of agitation speed

    is due to increase in shear rate on the oil droplets with

    increasing agitation speed that caused the breakage of

    the larger oil droplets into smaller ones. These results

    agree with the earlier reported results [11,12] and the

    basic empirical model proposed by Calderbank [13].

    However, at high volume fraction, the increase in

    interfacial area tended to decrease with increasing

    agitation speed as suggested by the model of Tavlarides

    and Bepat [12].

    The effect of temperature on the total interfacial area

    was not reported either by Albasi et al. [11] or by

    Tavlarides and Bepat [12], but was reported by Tsai and

    Chang [2]. The effect of temperature on the droplet size

    was determined and is shown in Fig. 4. It shows that the

    mean drop diameter decreases as the temperature

    increases. This is due to the reduction in viscosity of

    the oil and the surface tension at the interface between

    water and oil, with increase in temperature [13].

    The data shown in Figs. 3 and 4 were fitted to Eq. (19)

    and the model parameters in the equation were esti-

    mated by applying a stepwise numerical method usingEXCEL. The resultant correlation for the total specific

    interfacial area is as follows:

    at0:024v0:6T1:7f=(13:0f) (20)

    4.4. Hydrolysis reaction

    Experiments were run at different oil volume frac-

    tions, temperatures, enzyme-concentrations and stirrer

    speeds to determine their effect on the initial rate of

    palm oil hydrolysis. Fig. 5 shows the effect of oil volume

    fraction, which reflects the substrate concentration, on

    the initial rate of reaction. It can be noted that, as the

    volume fraction of oil increased the initial rate of

    reaction also increased. The increase in reaction ratewith volume fraction at a given agitation speed is due to

    an increase in substrate concentration and the increased

    interfacial area, as reported in the previous section.

    However, above 30/40% oil (v/v), a slight decrease in

    Fig. 2. Comparison between the gas chromatograph and the auto-

    titrator results (f/0.2, T/45 8C, v/1300 rpm, and (Et)m/25g m3).

    Fig. 3. Effect of stirrer speed and oil volume fractions on the specific

    interfacial area (T/45 8C).

    Fig. 4. Effect of temperature and agitation speed on the mean drop

    diameter (f/0.5).

    Fig. 5. Effect of oil volume fraction on the initial rate of reaction at

    various stirrer speeds (T/45 8C and (Et)m/25 g m3).

    S. Al-Zuhair et al. / Process Biochemistry 38 (2003) 1155/11631160

  • the initial rate of reaction was observed. This result

    agrees with the results previously presented in the

    literature [7,14], which showed that the initial rate of

    reaction decreased above an oil volume fraction of 43%,

    when the unfavourable phase inversion begins to take

    place (i.e. the aqueous phase becomes the dispersed

    one). When phase inversion occurs, dispersion of the

    enzyme at the interface will be restricted, as it would be

    trapped in the water droplets, where the agitation effect

    is limited. It can also be observed from Fig. 5 that at a

    given volume fraction of oil, the initial rate of reaction

    increased as the agitation speed increased. This again is

    due to the increase in mean interfacial area with increase

    in agitation speed as reported in the previous section.

    These results also agree with previous literature reports

    [11,13,14].

    The effect of increasing enzyme concentration on the

    initial rate of reaction is shown in Fig. 6. The initial rate

    of reaction increased linearly with enzyme concentration

    at low enzyme concentrations. At high enzyme concen-

    trations, this increase tends to fall. This result agrees

    with that found by Albasi et al. [11] for the hydrolysis of

    sunflower oil. This phenomenon is explained by hy-

    pothesising that at high concentrations of enzyme the

    interfacial area is totally saturated with enzyme mole-

    cules. Hence, any further increase in enzyme concentra-

    tion in the bulk would not enhance the reaction rate. It

    can also be seen, from Fig. 6 that the point where the

    effect of enzyme concentration tended to fade, shifts to

    the right (higher enzyme concentration) as the agitation

    speed increased. This is due to increase in interfacial

    area available for the enzyme to occupy at higher

    agitation speeds and hence, a higher enzyme concentra-

    tion is needed to saturate the available interfacial area.

    A multiple regression method, using a MATLAB

    computer package was applied to the data shown in

    Figs. 5 and 6, to determine the parameters of the model

    (Eq. (15)). Under these conditions, the enzyme concen-

    tration used was low enough to assume that the area of

    coverage of the enzyme is negligible. The model

    equation with the estimated rate constants can be

    represented as given below:

    y1:8 103(Et)mS

    5:65

    7:7 107

    a2t 1

    S

    90:018 (21)

    4.5. Effect of temperature

    Fig. 7 shows the effect of temperature on the initial

    rate of reaction. It shows, initially as the temperatureincreased, the reaction rate increased. This is mainly due

    to increase in rate constant with temperature and partly

    due to increase in interfacial area with temperature as

    discussed in the previous section. However, the initial

    rate decreased sharply after 50 8C, which was due to thedeactivation of the enzyme. It is known that most

    proteins tend to decompose at temperatures above

    50 8C [15]. In addition to the deactivation of theenzyme, the presence of the inactive enzyme at the

    interface would block the active enzyme from penetrat-

    ing the interface, which would further decrease the

    reaction rate.

    The experimental results shown in Fig. 7 were used to

    determine the effect of temperature on the rate constant,

    kcat .

    k+cat9:6103exp(1:2=RT) (22)

    The activation energy of 1.2 kcal gmole1 is lower

    than the reported activation energies for most enzyme

    reactions [15]. Kim and Chung [16] reported a value of

    7.0 kcal gmole1 for the hydrolysis of palm kernel oil in

    reversed micelle systems. Desnulle [17] reported in an

    aqueous emulsion system, the activation energy was 5.3

    kcal gmole1. Our result is lower, but still comparableto those reported in the literature.

    Fig. 6. Effect of enzyme concentration on the initial rate of reaction at

    different stirrer speeds (f/0.20 and T/45 8C).Fig. 7. Effect of temparature on the initial rate of reaction at various

    oil volume fraction (v/800 rpm and (Et)m/25 g m3).

    S. Al-Zuhair et al. / Process Biochemistry 38 (2003) 1155/1163 1161

  • 4.6. Model verification

    Figs. 8 and 9 show the comparison between the

    experimental results and the proposed model curve

    based on Eq. (21), for two agitation speeds. It can be

    noted that the model predicts fairly well the initial rate

    of reaction at various substrate concentrations for both

    agitation speeds. It can be seen from Fig. 10 that the

    experimental results are well represented by the model at

    low enzyme concentrations. However, they tend to

    diverge at high enzyme concentrations, as the model is

    limited to low enzyme concentrations only. As discussed

    earlier, at high concentrations of enzyme, the interfacial

    area is mostly saturated with enzyme molecules and

    hence the assumption that the area of occupation by the

    enzyme is only a fraction of the total interfacial area in

    deriving Eq. (21) breaks down. It is also seen from Fig.

    10 that the enzyme concentration at which the experi-

    mental results are well represented by the model, is

    wider at higher agitation speeds. This is due to large

    interfacial area available for the enzyme to penetrate the

    interface at higher agitation speeds, and hence, even at

    higher enzyme concentration the interface is not satu-

    rated with the enzyme. Under these conditions a low

    interfacial area of occupation by the enzyme is valid for

    a wider range of enzyme concentration.

    The experimentally determined values of apparent

    Michaelis/Menten constant, Km? by Mukataka et al. [7]at different agitation speeds are compared in Fig. 11,

    with those determined by the present model, under the

    same operating conditions. It can be noted that the

    apparent Km? in the present study are lower than thatreported by Mukataka et al. [7]. In the experiments of

    Mukataka et al. [7], the organic phase consisted of 10%

    beef tallow dissolved in isooctane, whereas the organic

    phase in this study consisted of palm oil only. The

    difference could be due to the different substrate used in

    both studies. Fig. 11 also shows that the specific

    interfacial area determined in the present study, using

    palm oil, was lower than that obtained by Mukataka et

    al. [7] for beef tallow dissolved in isooctane, under the

    same operating conditions. This is due to the high

    viscosity of palm oil in comparison with isooctane/tallow mixture.

    Fig. 8. Comparison between experimental results and the proposed

    model curve showing the effect of substrate concentration on the initial

    rate of reaction (v/800 rpm, T/45 8C and (Et)m/25 g m3).

    Fig. 9. Comparison between experimental results and the proposed

    model curve showing the effect of substrate concentration on the initial

    rate of reaction (v/1000 rpm, T/45 8C and (Et)m/25 g m3).

    Fig. 10. Comparison between experimental results and the proposed

    model curve showing the effect of enzyme concentration on the initial

    rate of reaction (v/1000 and 1300 rpm, T/45 8C and S/660.7mole m3).

    Fig. 11. Comparison between the present model results and the results

    of Mukataka et al. [7].

    S. Al-Zuhair et al. / Process Biochemistry 38 (2003) 1155/11631162

  • 5. Conclusion

    A kinetic model based on the mechanism of the

    reaction of the lipase-catalysed hydrolysis of palm oil inbi-phasic oil/aqueous system has been proposed, takinginto account the variation of interfacial area with

    agitation speed and substrate volume fraction. This

    was verified with experimental results at low enzyme

    concentrations. There was a good agreement between

    the model prediction and the experimental results. The

    rate constants in the mathematical model were deter-

    mined numerically from the experimental results. Thismodel can be used to predict the rate of hydrolysis in a

    batch reactor and to determine optimal conditions. It

    has been shown experimentally that the lipase enzyme

    used was not ester bond position selective. In addition,

    the activity of the enzyme was shown to increase at the

    interface compared to that at the bulk, as previous

    studies have also indicated [9].

    References

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    S. Al-Zuhair et al. / Process Biochemistry 38 (2003) 1155/1163 1163

    Kinetics of the enzymatic hydrolysis of palm oil by lipaseIntroductionThe kinetic modelMaterials and methodsMaterialsHydrolysis reactorDetermination of enzyme activityDetermination of fatty acids concentrationDetermination of oil drop sizeDetermination of hydrolysis rate

    Results and discussionsInterfacial enzyme concentrationFatty acids profileDetermination of interfacial areaHydrolysis reactionEffect of temperatureModel verification

    ConclusionReferences