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Enzymatic Fatty Ester Synthesis
Simona Pecnik and Zeljko Knez*
Faculty of Technical Sciences, Department of Chemical Engineering, Smetanova 17, 62000 Maribor, Slovenia
261
Fatty ester synthesis with immobilized 1,3-specific lipase
from Mucor miehei is described. 1,2-Isopropylidene glyc-
erol produced by condensation of glycerol with acetone
was esterified with oleic acid in the presence of a Mucor
miehei lipase (LipozymeTM)to obtain 1,2-isopropylidene-
3-oleoyl glycerol. The effects of various process param-
eters (temperature and pressure) and various ratios (en-
zyme/substrate) have been investigated to determine op-
timal conditions for the esterification process. The highest
conversion of oleic acid (80% w/w) was obtained at 55°C
and 0.057 bar, while the optimal addition of lipase to sub-
strate was determined to be 0.096 g per gram of reaction
mixture. The esterification can be modeled successfully
as a reverse second~rder reaction. Thermodynamic prop-
erties of the reaction system at 55°C and 0.057 bar also
were determined. Activation energy was 20.82 kJ/mole,
entropy of activation --0,26 kJl(K mole) and free energy
of activation was 103.32 kJ/mole.
KEY WORDS: Batch stirred tank reactor,biotechnology, ester syn-
thesis, 1,2-isopropylidene3-oleoylglycerol,lipase, Mucor miehei,reac-
tion kinetics, reaction thermodynamics.
Various fatty acid esters of glycerol may undergo conven-
tional acid- or base-catalyzed reactions such as esterifica-
tion, glycerolysis and hydrolysis {1-4}. Recently, the use
of enzymes to catalyze these reactions has become a much
more promising method for fatty ester production {5-8}.
Enzyme-catalyzedreactions are superior to conventional
chemical methods owing to mild reaction conditions, high
catalytic efficiencyand the inherent selectivity of natural
catalysts (9), which results in much purer products.
Lipases belong to the enzymatic class of hydrolases and
are convenient enzymes for hydrolysis and formation of
esters. Dependent on their activity towards the fatty acids
in glycerides, lipases are classified as nonspecific or
1,3-specific
Immobilization of enzymes usually leads to increased
thermal stability. Diffusion of the reactants to the enzyme
molecule affects the activity of the immobilized enzyme
and can be facilitated at a high reaction temperatur~
However, high temperatures must be avoided because of
potential enzyme denaturation (10).
In the case of nonimmobilized lipase application, the
enzymatic reaction takes place in an emulsion system at
the phase boundary between lipid and water where the
lipase accumulates. Reaction with immobilized lipase
(LipozymeTM) can be carried out in a nonemulsion sys-
tem, because the immobilization support surface replaces
the water-lipid in~rface Since the immobilization support
(macroporous anion exchange resin) enables the enzyme
to retain the water essential for its appropriate active con-
formation, the water formed during the reaction is allowed
to be removed from the reaction system. Reaction yields
are reportedly higher by the addition of some water to the
reaction system where LipozymeTM is employed as a
catalyst {11,12}.
*To whomcorrespondenceshouldbe addressed.
The present paper reports on the method of preparation
of 1,2-isopropylidene-3-oleoyl glycerol by using "blocked"
glycerol{13).If desired, 1,2-isopropylidene~3-oleoylglycerol
can be transformed to 1-monooleoyl glycerolby acid treat-
ment. 1-Monoacyl glycerols are widelyused as emulsifiers
in food, pharmaceutical and other applications {14). As
a catalyst, 1,3-specific immobilized lipase from Mucor
miehei (Lipozyme) was applied. Owing to a specially
chosen immobilization support (macroporous anion ex-
change resin), the synthesis can be carried out either with
or without a solvent {15). In the present study our goal
was to investigate the process parameters for enzyme~
catalyzed esterification of 1,2-isopropylidene glycerolwith
oleic acid in a solvent-free system. Some kinetic param-
eters and thermodynamic properties of the above-
mentioned esterification process will be reported as well.
MATERIALS AND METHODS
Materials. Lipase (Lipozyme) was a generous gift from
Novo Nordisk (Copenhagen, Denmark). Petroleum ether,
sulphuric acid, toluene and acetone were p.a. grade from
Kemika (Zagreb, Yugoslavia). Diethyl ether was obtain-
ed from Lek (Ljubljana, Yugoslavia) and oleic acid from
Merck (Darmstadt, Germany); glycerol was purchased as
a technical product of 95% w/w purity from Henkel-
Zlatorog (Maribor, Yugoslavia).
Synthesis of 1,2-isopropylidene glycerol. 1,2-Isopro-
pylidene glycerol was produced by acid-catalyzedconden-
sation of glycerolwith acetone (Fig. 1)in a 2-L stirred tank
reactor with petroleum ether as a solvent. Water produced
during the reaction was successfully removed from the
system by azeotropic distillation. After completing the
reaction, the product was distilled under vacuum.
Enzyme-catalyzed esterification of 1,2-isopropylidene
glycerol. This reaction (Fig. 2) was performed in a 100-mL
round-bottom flask connected to a vacuum pump in order
to remove the co-produced water from the system and
thereby shift the equilibrium towards ester formation. The
desired quantity of Lipozyme was added to the ther-
mostated equimolar mixture of 1,2-isopropylidene glycerol
and oleic acicLThe temperature and the pressure were kept
constant. The reaction progress was followed by free fatty
acid titration. The activity of lipase used in our experi-
ments was 23 BIU/g. One BIU is defined as 1 mole of
~OH O
OH +CH3-(~-CH3
OH
H+
~ Oxz, CH3
O/', CH3 + H20
OH
FIG. 1. 1,2-IsopropyHdeneglycerol process.
E
o,,zcH
O / " CH3 + RCOOH
OH
Lipozyme TM
E O ,,,X,CH3
O / " CH3 + H20
OCRII
o
FIG. 2. Esterlfication process.
JAOCS, Vol. 69, no. 3 (March 1992)
262
S. PECNIK AND Z. KNEZ
E O XX,CH3
O " " CH3 + H20
OCRII
O
H +
OH 0
~OH + CH3- ~;- CH3
L- OCR
II
O
FIG. 3. Hydrolysis process.
palmitic acid incorporated in triolein per minute at stan-
dard conditions (15).
At the end of the reaction, water and diethyl ether were
added and the enzyme was filtered off. The aqueous phase
was extracted with diethyl ether, and combined organic
layers were subsequently washed with 0.5 M NaOH. The
obtained 1,2-isopropylidene-3-oleoylglycerol can be hydr~
lyzed with concentrated hydrochloric acid in cold diethyl
ether solution to obtain monoacyl glycerolby splitting out
the acetone (Fig. 3). The background for the synthesis of
1,2-isoprepylidene glycerol and 1,2-isoprepylidene-3-oleoyl
glycerol can be found in a patent by Godtfredsen (13).
RESULTS AND DISCUSSION
The purity of 1,2-isopropylidene glycerol was estimated
by gas chromatography followed by mass spectrometry.
It was found to be at least 98% w/w. A Hewlett-Packard
5840A gas chromatograph was connected with a Hewlett-
Packard 5985 mass spectrometer (Palo Alto). The condi-
tions were: column, SPB-5 fused silica capillary (30 m X
0.32 mm i.d.); program, 40-250°C at 10°C/rain; injection
temperature, 190°C; transfer line temperature, 250°(3. The
mass spectra were recorded within the interval from 41
to 250 m/e. To determine optimal process parameters, the
esterification of 1,2-isopropylideneglycerolwith oleic acid
was carried out at three different pressures--1 bar, 0.057
bar and 0.032 bar in the temperature interval from 10°C
to 70°C. The results are shown in Figure 4.
It is evident from Figure 5 that the optimal conditions
for the esterification that lead to 80% w/w equilibrium con-
version of oleic acid are 55°C and 0.057 bar. At 1 bar the
water generated during the reaction was not removed from
the system so as to push the equilibrium towards ester
formation, which results in lower equilibrium conversion
of oleic acid. At the pressure of 0.032 bar the reaction yield
is surprisingly lower in comparison with that at 0.057 bar.
At 0.032 bar much water is removed from the system,
which may be reflected in lower conversion due to de-
creased enzyme activity at low water content (11,16). The
same conclusions could be made for the results obtained
at 40°C. At 25°C we have obtained the greatest conver-
sion at 0.032 bar when compared to those at 0.057 bar
and 1 bar. This may be explained by the fact that more
water is removed from the system at lower pressure than
at higher pressur~ thus shifting the equilibrium towards
ester formation. Moreover, because of lower vapor pressure
of water at lower temperatures, it may be assumed that
at 25°C not as much water is removed from the system
as to decrease the enzyme activity as might be the case
at higher temperatures. It is expected that elevated
temperatures result in higher reaction yields. On the other
hand, as the deactivation rate of the enzyme increases
with temperature~ reaction yields and conversions are
found to be lower at 70°C when compared with those at
55°C. Moreover, higher conversion is obtained at 1 bar
than at 0.032 and 0.057 bar. Lower conversions at
diminished pressures at 70°C might be explained by more
efficientremoval of water and, therefore, decreased enzyme
activity.
It is expected that a greater amount of enzyme results
in a higher reaction rate or in a shorter time in which equi-
librium conversion is reached. This effect was investigated
through several experiments. It was found that the maxi-
mum conversion of oleic acid (80%, w/w) can already be
achieved after approximately 350 min by the addition of
0.096 g lipase per gram of reaction mixture or 2.2 BIU/g
(17).
The de-blocking of ketal ester by means of hydrolysis
(Fig. 3) with diluted HCI to obtain monoacyl glycerol was
found to be a temperature-dependent process. However,
pure monoacyl glycerolwas separated from unhydrolyzed
1,2-isopropylidene-3-oleoylglycerol on a silica gel column
by the adsorption chromatographic technique (18)and was
identified by thin-layer chromatography (19). Our future
efforts will, therefore, focus on the optimization of the
above-mentioned de-blocking process to obtain monoacyl
glycerol as pure as possible
Determination of reaction order and rate constants. By
considering the esterification to be a reverse second-order
reaction of equal initial concentrations, the general form
of the rate equation for consumption of oleic acid is (20)"
dC./dt = klCa2 - k2Cc2 [1]
where C. is the concentration of oleic acid (mole/L) and
Cc is the concentration of 1,2-isopropylidene-3-oleoyl
glycerol (mole/L).
Applying the conversion of oleic acid (Xa)instead of its
concentration, the solution of the corresponding differen-
tial equation becomes:
Ln ((Xe--Xa(2Xe--1))/(Xe--Xa))---- 2k~(1/Xe-1)C~0t [2]
where Xe is an equilibrium conversion of oleic acid, C,0 is
the initial oleic acid concentration (mole/L), t is the reac-
tion time (s), and kl is the rate constant for esterification
[L/(mole s)]. Considering the reaction in its steady state,
the correlation between k1and the rate constant for the
reverse reaction, k2, is:
k2 = kl(1--Xe)2/Xe2 [3]
From the slope of the straight line obtained by plotting
the left side of the equation 2 vs. time Wig. 6), the rate
constants k1 and k2 were determined at 55°C to be
2.40 X 10-4 L/(mole s) and 1.33 X 10--6 L/(mole s),
respectively. The equilibrium constant calculated from the
rate constants kl and k2 was found to be 18.04, which
seems to match well with the constant calculated from
the experimental steady state data by the followingequa-
tion (20):
K~ = X~XJX~X~ [4]
where Xae and Xb~ are mole fractions of reactants in
equilibrium, while X~ and Xde are mole fractions of prod-
ucts in equilibrium. The equilibrium constant calculated
in this way was 17.99.
JAOCS, Vol. 69, no. 3 (March 1992)
O
O
CD
p
c~
:y
A
6
IPOGproduced(mmol/g/genz.)
i0
[]
0
IIII
200400600800
reactiontime(minutes)
8
6
IPOGproduced(mmol/g/genz.)
10C
25C
-qB-40C
55C
-~-70C
i
1000
iiirl
2004006008001000
reactiontime(minutes)
C
IPOGproduced(mmol/g/genz.)
6
~©----O
4-/
~/~/-e-4oc
,,.~--v-7oc
02004006008001000
reactiontime(minutes)
FIG.4.Progresscurvesofesterification(a)at1bar,(b)at0.057bar,and(c)at0.032bar.
Z~q
~o
~0
Z
264
S. PECNIK AND Z. KNEZ
equilibrium conversion of oleic acid
1.0
0.8
0.6
0.4
0.2
o.0
X
[]
x [][] :x
0.032 bar
X 0,057 bar
[] t bar
I I I I I I I
0 10 20 30 40 50 60 70
temperature (C)
FIG. 5. Effect of temperature on equilibrium conversion of oleic acid at different total
pressures of reaction system.
In ((Xe-(2Xe-l)Xa) / (Xe-Xa))
1.2
1.0
0.B O ~ O
0.6
0.4
0.2
0.0 ~ ~ ~ ,
0 10 20 30 40 50 60
time (minutes)
FIG. 6. Order of reaction and initial rate constants determination; reverse second-order
interpretation.
70
Thermodynamic properties of the reaction system. Ac-
tivation energies of the esterification process at 1 bar,
0.057 bar and 0.032 bar were determined by applying Ar-
rhenius' law (21).Determining initial velocities at different
temperatures and pressures from Figure 4, the Arrhenius
plots (Fig. 7) can be constructed. On the basis of slopes
of straight lines, the activation energies E,, were
calculated as 32.41 kJ/mole at 1 bar, 20.82 kJ/mole at 0.057
bar and 30.65 kJ/mole at 0.032 bar.
The enthalpies of activation, AH,, were calculated at
the same pressures and at 55°C by using the equation
AH, = E,--RT. They were found to be 29.68 kJ/mole~
18.09 kJ/mole and 27.92 kJ/mole~ respectively. The free
energy of activation, AG,, and the entropy of activation,
AS,, at 55°C and 0.057 bar were calculated as in Laidler
(20) and determined to be 103.32 kJ/mole and -0.26
kJ/(Kmole), respectively.
These results clearly indicate that the minimal energy
and enthalpy of activation for esterification were required
as the reaction was carried out at 0.057 bar. The energy
JAOC$, VoI. 69, no. 3 (March 1992)
3.2
2.7
2.2
0 0.032 bar X
X 1 bar
ENZYMATIC FATTY ESTER SYNTHESES
log (vi * 10000)
1.7 , I I I
0,0029 0.0030 0.0031 0.0032 0.0033
I/T (l/K)
0.0034
FIG. 7. Determination of activation energy depending on total pressure of reaction system.
265
of activation was found to be temperature independent
in the interval from 10°C to 70°C. The negative entropy
of activation is consistent with an increase in polarity as
the activated complex enzyme/substrate is formed (20).
ACKNOWLEDGMENT
The authors thank Mr. E. Voncinafrom the Instituteof PublicHealth
Center and EnvironmentalProtection at Maribor for the performance
of gas chromatography and mass spectrometry and for the evalua-
tion of the analysis.
REFERENCES
1. Zlatanos, S.N.,A.N. Sagredos and V.P.Papageorgiou, J. Am. Oil
Chem" Soc. 62:1575 (1985).
2. Naveen Kumar, T., Y.S.R.Sastry and G. Lakshminarayana,IbicL
66:153 (1989).
3. Cook,EEE., and A.J. Showler,J. Am. Chem. Soa 67:4594 (1965).
4. Von Fischer, W., Fette Seifen Anstrichm. 83:507 (1981).
5. Nismo, T., T. Chikano and M. Kamimura, Agric BioL Chem.
52:1203 (1988).
6. Linfield, W.M., R.A. Barauskas, L. Sivieri, S. Serota and R.W.
Stevenson, Sr., J. Am. Oil Chem. Soc 61:191 (1984).
7. Btihler, M., and C. Wandrey, Henkel-Referate 24:134 (1988).
8. Knez, Z., and M. Leitgeb, Proceedings of ISF-JOCS World Con-
gress, September 26-30, Tokyo, p. 281, 1988.
9. Sonnet, P.E.,J. Am. Oil Chem. Soc. 65:900 (1988).
10. Wiseman, A., Handbook of Enzyme Biotechnology, 2nd edn.,
Ellis Horwood Limited, Chichester, 1985.
11. Habulin, M., and Z. Knez, J. Am. Oil Chem. Soa 67:775 (1990).
12. Knez, Z., M. Leitgeb, D. Zavrsnik and B. Lavric~Fat. Science
92:169 (1990).
13. Godtfredsan, S.E., European Patent EP 215,038 (1986).
14. Holmberg, K., and E. Osterberg, J. Am. Oil Chem. Soa 65:1544
(1988).
15. Eigtved, P., T.T. Hansen and H. Sakaguchi, Ibid. 63:463 (1986).
16. Hansen, T.T.,and P.A.Eigtved, in Proceedings of the World Con-
ference on Emerging Technologies in the Fats and Oils Industry,
edited by A.R. Baldwin, AmericanOffChemists' Society, Cham-
paign, IL (1986).
17. Pecnik, S., M. Habulin, and Z. Knez, Bulletin of the Slovenian
Chemical Society 38:287 (1991}.
18. Quinlin, P., and H.J. Weiser, Jr., J. Am. Oil Chem. Soc. 35:325
(1958).
19. Chemin-Douaud, S., and A. Karleskind,Rev. Frana Corps Gras.
3:125 (1982).
20. Laidler, K.J., Chemical Kinetics, McGraw Hill, London, 1965.
21. Bailey,J.E., and D.E Ollis, Biochemical Engineering Fundamen-
tals, 2nd edm, McGraw Hill, New York, 1986.
[Received September 25, 1990; accepted November 7, 1991]
JAOCS, Vol. 69, no. 3 (March 1992)

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simona Enzymatiy Fatty Ester Synthesis

  • 1. Enzymatic Fatty Ester Synthesis Simona Pecnik and Zeljko Knez* Faculty of Technical Sciences, Department of Chemical Engineering, Smetanova 17, 62000 Maribor, Slovenia 261 Fatty ester synthesis with immobilized 1,3-specific lipase from Mucor miehei is described. 1,2-Isopropylidene glyc- erol produced by condensation of glycerol with acetone was esterified with oleic acid in the presence of a Mucor miehei lipase (LipozymeTM)to obtain 1,2-isopropylidene- 3-oleoyl glycerol. The effects of various process param- eters (temperature and pressure) and various ratios (en- zyme/substrate) have been investigated to determine op- timal conditions for the esterification process. The highest conversion of oleic acid (80% w/w) was obtained at 55°C and 0.057 bar, while the optimal addition of lipase to sub- strate was determined to be 0.096 g per gram of reaction mixture. The esterification can be modeled successfully as a reverse second~rder reaction. Thermodynamic prop- erties of the reaction system at 55°C and 0.057 bar also were determined. Activation energy was 20.82 kJ/mole, entropy of activation --0,26 kJl(K mole) and free energy of activation was 103.32 kJ/mole. KEY WORDS: Batch stirred tank reactor,biotechnology, ester syn- thesis, 1,2-isopropylidene3-oleoylglycerol,lipase, Mucor miehei,reac- tion kinetics, reaction thermodynamics. Various fatty acid esters of glycerol may undergo conven- tional acid- or base-catalyzed reactions such as esterifica- tion, glycerolysis and hydrolysis {1-4}. Recently, the use of enzymes to catalyze these reactions has become a much more promising method for fatty ester production {5-8}. Enzyme-catalyzedreactions are superior to conventional chemical methods owing to mild reaction conditions, high catalytic efficiencyand the inherent selectivity of natural catalysts (9), which results in much purer products. Lipases belong to the enzymatic class of hydrolases and are convenient enzymes for hydrolysis and formation of esters. Dependent on their activity towards the fatty acids in glycerides, lipases are classified as nonspecific or 1,3-specific Immobilization of enzymes usually leads to increased thermal stability. Diffusion of the reactants to the enzyme molecule affects the activity of the immobilized enzyme and can be facilitated at a high reaction temperatur~ However, high temperatures must be avoided because of potential enzyme denaturation (10). In the case of nonimmobilized lipase application, the enzymatic reaction takes place in an emulsion system at the phase boundary between lipid and water where the lipase accumulates. Reaction with immobilized lipase (LipozymeTM) can be carried out in a nonemulsion sys- tem, because the immobilization support surface replaces the water-lipid in~rface Since the immobilization support (macroporous anion exchange resin) enables the enzyme to retain the water essential for its appropriate active con- formation, the water formed during the reaction is allowed to be removed from the reaction system. Reaction yields are reportedly higher by the addition of some water to the reaction system where LipozymeTM is employed as a catalyst {11,12}. *To whomcorrespondenceshouldbe addressed. The present paper reports on the method of preparation of 1,2-isopropylidene-3-oleoyl glycerol by using "blocked" glycerol{13).If desired, 1,2-isopropylidene~3-oleoylglycerol can be transformed to 1-monooleoyl glycerolby acid treat- ment. 1-Monoacyl glycerols are widelyused as emulsifiers in food, pharmaceutical and other applications {14). As a catalyst, 1,3-specific immobilized lipase from Mucor miehei (Lipozyme) was applied. Owing to a specially chosen immobilization support (macroporous anion ex- change resin), the synthesis can be carried out either with or without a solvent {15). In the present study our goal was to investigate the process parameters for enzyme~ catalyzed esterification of 1,2-isopropylidene glycerolwith oleic acid in a solvent-free system. Some kinetic param- eters and thermodynamic properties of the above- mentioned esterification process will be reported as well. MATERIALS AND METHODS Materials. Lipase (Lipozyme) was a generous gift from Novo Nordisk (Copenhagen, Denmark). Petroleum ether, sulphuric acid, toluene and acetone were p.a. grade from Kemika (Zagreb, Yugoslavia). Diethyl ether was obtain- ed from Lek (Ljubljana, Yugoslavia) and oleic acid from Merck (Darmstadt, Germany); glycerol was purchased as a technical product of 95% w/w purity from Henkel- Zlatorog (Maribor, Yugoslavia). Synthesis of 1,2-isopropylidene glycerol. 1,2-Isopro- pylidene glycerol was produced by acid-catalyzedconden- sation of glycerolwith acetone (Fig. 1)in a 2-L stirred tank reactor with petroleum ether as a solvent. Water produced during the reaction was successfully removed from the system by azeotropic distillation. After completing the reaction, the product was distilled under vacuum. Enzyme-catalyzed esterification of 1,2-isopropylidene glycerol. This reaction (Fig. 2) was performed in a 100-mL round-bottom flask connected to a vacuum pump in order to remove the co-produced water from the system and thereby shift the equilibrium towards ester formation. The desired quantity of Lipozyme was added to the ther- mostated equimolar mixture of 1,2-isopropylidene glycerol and oleic acicLThe temperature and the pressure were kept constant. The reaction progress was followed by free fatty acid titration. The activity of lipase used in our experi- ments was 23 BIU/g. One BIU is defined as 1 mole of ~OH O OH +CH3-(~-CH3 OH H+ ~ Oxz, CH3 O/', CH3 + H20 OH FIG. 1. 1,2-IsopropyHdeneglycerol process. E o,,zcH O / " CH3 + RCOOH OH Lipozyme TM E O ,,,X,CH3 O / " CH3 + H20 OCRII o FIG. 2. Esterlfication process. JAOCS, Vol. 69, no. 3 (March 1992)
  • 2. 262 S. PECNIK AND Z. KNEZ E O XX,CH3 O " " CH3 + H20 OCRII O H + OH 0 ~OH + CH3- ~;- CH3 L- OCR II O FIG. 3. Hydrolysis process. palmitic acid incorporated in triolein per minute at stan- dard conditions (15). At the end of the reaction, water and diethyl ether were added and the enzyme was filtered off. The aqueous phase was extracted with diethyl ether, and combined organic layers were subsequently washed with 0.5 M NaOH. The obtained 1,2-isopropylidene-3-oleoylglycerol can be hydr~ lyzed with concentrated hydrochloric acid in cold diethyl ether solution to obtain monoacyl glycerolby splitting out the acetone (Fig. 3). The background for the synthesis of 1,2-isoprepylidene glycerol and 1,2-isoprepylidene-3-oleoyl glycerol can be found in a patent by Godtfredsen (13). RESULTS AND DISCUSSION The purity of 1,2-isopropylidene glycerol was estimated by gas chromatography followed by mass spectrometry. It was found to be at least 98% w/w. A Hewlett-Packard 5840A gas chromatograph was connected with a Hewlett- Packard 5985 mass spectrometer (Palo Alto). The condi- tions were: column, SPB-5 fused silica capillary (30 m X 0.32 mm i.d.); program, 40-250°C at 10°C/rain; injection temperature, 190°C; transfer line temperature, 250°(3. The mass spectra were recorded within the interval from 41 to 250 m/e. To determine optimal process parameters, the esterification of 1,2-isopropylideneglycerolwith oleic acid was carried out at three different pressures--1 bar, 0.057 bar and 0.032 bar in the temperature interval from 10°C to 70°C. The results are shown in Figure 4. It is evident from Figure 5 that the optimal conditions for the esterification that lead to 80% w/w equilibrium con- version of oleic acid are 55°C and 0.057 bar. At 1 bar the water generated during the reaction was not removed from the system so as to push the equilibrium towards ester formation, which results in lower equilibrium conversion of oleic acid. At the pressure of 0.032 bar the reaction yield is surprisingly lower in comparison with that at 0.057 bar. At 0.032 bar much water is removed from the system, which may be reflected in lower conversion due to de- creased enzyme activity at low water content (11,16). The same conclusions could be made for the results obtained at 40°C. At 25°C we have obtained the greatest conver- sion at 0.032 bar when compared to those at 0.057 bar and 1 bar. This may be explained by the fact that more water is removed from the system at lower pressure than at higher pressur~ thus shifting the equilibrium towards ester formation. Moreover, because of lower vapor pressure of water at lower temperatures, it may be assumed that at 25°C not as much water is removed from the system as to decrease the enzyme activity as might be the case at higher temperatures. It is expected that elevated temperatures result in higher reaction yields. On the other hand, as the deactivation rate of the enzyme increases with temperature~ reaction yields and conversions are found to be lower at 70°C when compared with those at 55°C. Moreover, higher conversion is obtained at 1 bar than at 0.032 and 0.057 bar. Lower conversions at diminished pressures at 70°C might be explained by more efficientremoval of water and, therefore, decreased enzyme activity. It is expected that a greater amount of enzyme results in a higher reaction rate or in a shorter time in which equi- librium conversion is reached. This effect was investigated through several experiments. It was found that the maxi- mum conversion of oleic acid (80%, w/w) can already be achieved after approximately 350 min by the addition of 0.096 g lipase per gram of reaction mixture or 2.2 BIU/g (17). The de-blocking of ketal ester by means of hydrolysis (Fig. 3) with diluted HCI to obtain monoacyl glycerol was found to be a temperature-dependent process. However, pure monoacyl glycerolwas separated from unhydrolyzed 1,2-isopropylidene-3-oleoylglycerol on a silica gel column by the adsorption chromatographic technique (18)and was identified by thin-layer chromatography (19). Our future efforts will, therefore, focus on the optimization of the above-mentioned de-blocking process to obtain monoacyl glycerol as pure as possible Determination of reaction order and rate constants. By considering the esterification to be a reverse second-order reaction of equal initial concentrations, the general form of the rate equation for consumption of oleic acid is (20)" dC./dt = klCa2 - k2Cc2 [1] where C. is the concentration of oleic acid (mole/L) and Cc is the concentration of 1,2-isopropylidene-3-oleoyl glycerol (mole/L). Applying the conversion of oleic acid (Xa)instead of its concentration, the solution of the corresponding differen- tial equation becomes: Ln ((Xe--Xa(2Xe--1))/(Xe--Xa))---- 2k~(1/Xe-1)C~0t [2] where Xe is an equilibrium conversion of oleic acid, C,0 is the initial oleic acid concentration (mole/L), t is the reac- tion time (s), and kl is the rate constant for esterification [L/(mole s)]. Considering the reaction in its steady state, the correlation between k1and the rate constant for the reverse reaction, k2, is: k2 = kl(1--Xe)2/Xe2 [3] From the slope of the straight line obtained by plotting the left side of the equation 2 vs. time Wig. 6), the rate constants k1 and k2 were determined at 55°C to be 2.40 X 10-4 L/(mole s) and 1.33 X 10--6 L/(mole s), respectively. The equilibrium constant calculated from the rate constants kl and k2 was found to be 18.04, which seems to match well with the constant calculated from the experimental steady state data by the followingequa- tion (20): K~ = X~XJX~X~ [4] where Xae and Xb~ are mole fractions of reactants in equilibrium, while X~ and Xde are mole fractions of prod- ucts in equilibrium. The equilibrium constant calculated in this way was 17.99. JAOCS, Vol. 69, no. 3 (March 1992)
  • 4. 264 S. PECNIK AND Z. KNEZ equilibrium conversion of oleic acid 1.0 0.8 0.6 0.4 0.2 o.0 X [] x [][] :x 0.032 bar X 0,057 bar [] t bar I I I I I I I 0 10 20 30 40 50 60 70 temperature (C) FIG. 5. Effect of temperature on equilibrium conversion of oleic acid at different total pressures of reaction system. In ((Xe-(2Xe-l)Xa) / (Xe-Xa)) 1.2 1.0 0.B O ~ O 0.6 0.4 0.2 0.0 ~ ~ ~ , 0 10 20 30 40 50 60 time (minutes) FIG. 6. Order of reaction and initial rate constants determination; reverse second-order interpretation. 70 Thermodynamic properties of the reaction system. Ac- tivation energies of the esterification process at 1 bar, 0.057 bar and 0.032 bar were determined by applying Ar- rhenius' law (21).Determining initial velocities at different temperatures and pressures from Figure 4, the Arrhenius plots (Fig. 7) can be constructed. On the basis of slopes of straight lines, the activation energies E,, were calculated as 32.41 kJ/mole at 1 bar, 20.82 kJ/mole at 0.057 bar and 30.65 kJ/mole at 0.032 bar. The enthalpies of activation, AH,, were calculated at the same pressures and at 55°C by using the equation AH, = E,--RT. They were found to be 29.68 kJ/mole~ 18.09 kJ/mole and 27.92 kJ/mole~ respectively. The free energy of activation, AG,, and the entropy of activation, AS,, at 55°C and 0.057 bar were calculated as in Laidler (20) and determined to be 103.32 kJ/mole and -0.26 kJ/(Kmole), respectively. These results clearly indicate that the minimal energy and enthalpy of activation for esterification were required as the reaction was carried out at 0.057 bar. The energy JAOC$, VoI. 69, no. 3 (March 1992)
  • 5. 3.2 2.7 2.2 0 0.032 bar X X 1 bar ENZYMATIC FATTY ESTER SYNTHESES log (vi * 10000) 1.7 , I I I 0,0029 0.0030 0.0031 0.0032 0.0033 I/T (l/K) 0.0034 FIG. 7. Determination of activation energy depending on total pressure of reaction system. 265 of activation was found to be temperature independent in the interval from 10°C to 70°C. The negative entropy of activation is consistent with an increase in polarity as the activated complex enzyme/substrate is formed (20). ACKNOWLEDGMENT The authors thank Mr. E. Voncinafrom the Instituteof PublicHealth Center and EnvironmentalProtection at Maribor for the performance of gas chromatography and mass spectrometry and for the evalua- tion of the analysis. REFERENCES 1. Zlatanos, S.N.,A.N. Sagredos and V.P.Papageorgiou, J. Am. Oil Chem" Soc. 62:1575 (1985). 2. Naveen Kumar, T., Y.S.R.Sastry and G. Lakshminarayana,IbicL 66:153 (1989). 3. Cook,EEE., and A.J. Showler,J. Am. Chem. Soa 67:4594 (1965). 4. Von Fischer, W., Fette Seifen Anstrichm. 83:507 (1981). 5. Nismo, T., T. Chikano and M. Kamimura, Agric BioL Chem. 52:1203 (1988). 6. Linfield, W.M., R.A. Barauskas, L. Sivieri, S. Serota and R.W. Stevenson, Sr., J. Am. Oil Chem. Soc 61:191 (1984). 7. Btihler, M., and C. Wandrey, Henkel-Referate 24:134 (1988). 8. Knez, Z., and M. Leitgeb, Proceedings of ISF-JOCS World Con- gress, September 26-30, Tokyo, p. 281, 1988. 9. Sonnet, P.E.,J. Am. Oil Chem. Soc. 65:900 (1988). 10. Wiseman, A., Handbook of Enzyme Biotechnology, 2nd edn., Ellis Horwood Limited, Chichester, 1985. 11. Habulin, M., and Z. Knez, J. Am. Oil Chem. Soa 67:775 (1990). 12. Knez, Z., M. Leitgeb, D. Zavrsnik and B. Lavric~Fat. Science 92:169 (1990). 13. Godtfredsan, S.E., European Patent EP 215,038 (1986). 14. Holmberg, K., and E. Osterberg, J. Am. Oil Chem. Soa 65:1544 (1988). 15. Eigtved, P., T.T. Hansen and H. Sakaguchi, Ibid. 63:463 (1986). 16. Hansen, T.T.,and P.A.Eigtved, in Proceedings of the World Con- ference on Emerging Technologies in the Fats and Oils Industry, edited by A.R. Baldwin, AmericanOffChemists' Society, Cham- paign, IL (1986). 17. Pecnik, S., M. Habulin, and Z. Knez, Bulletin of the Slovenian Chemical Society 38:287 (1991}. 18. Quinlin, P., and H.J. Weiser, Jr., J. Am. Oil Chem. Soc. 35:325 (1958). 19. Chemin-Douaud, S., and A. Karleskind,Rev. Frana Corps Gras. 3:125 (1982). 20. Laidler, K.J., Chemical Kinetics, McGraw Hill, London, 1965. 21. Bailey,J.E., and D.E Ollis, Biochemical Engineering Fundamen- tals, 2nd edm, McGraw Hill, New York, 1986. [Received September 25, 1990; accepted November 7, 1991] JAOCS, Vol. 69, no. 3 (March 1992)