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Table 6 Box–Benkhen design reaction conditions
Boundary values
Experimental
Material
Parameter
-1
0
1
D-Glucose anhydrous and KOH (90%) were purchased from
Verfilco and used without further purification.
x1: Microwave specific power SP (W g-1)
x2: Alkali concentration (equiv/initial
glucose)
2
1
3
2
4
3
˚
Neutral alumina (150 mesh, 58 A) was purchased from
Sigma–Aldrich. Microwave irradiation was performed in a CEM
x3: Time (min)
10
20
30
R
Discoverꢀ System. This system operates at a frequency of 2.45
GHz with continuous MW irradiation power up to 300 W.
The reactions are carried out in round bottom pyrex tubes
with a diameter of 38 mm and a height of 200 mm. Mechanical
agitation is used.
of the minima and maxima levels for all the retained factors
of the experimental design (Table 5). That makes it possible to
carry out the experiments under the conditions stipulated and to
correlate the answers of the design (here the yield in lactic acid)
to the experimental conditions (the factors of the experimental
design) thanks to the quadratic model presented below (eqn
Reaction procedure
Glucose (11.1 mmol) and potassium hydroxide (16.65 mmol)
were introduced into the reactor with alumina (200% w/w
compared to initial glucose and alkali). The mixture (total
mass of 9 g) was stirred for a minute then was irradiated by
MW at the desired power and time. A mechanical system of
agitation was used to homogenize the powder. After reaction,
a solution of H2SO4 0.2 M was added so as to obtain a pH of
approximately 2–3. The aqueous solution was separated from
alumina by filtration for analysis.
R
(4)).The linear regression function on Excelꢀ software was used
in order to identify the coefficients ai, aij and aii of this quadratic
model.
Y = a0 + a1x1 + a2x2 + a3x3 + a12x1x2 + a13x1x3 + a23x2x3
2
2
2
+ a11x1 + a22x2 + a33x3
(4)
Where:
Y is the response (lactic acid C-%),
a0 is the value of the response at the center point response of
the design,
ai, aii and aij are the coefficients of linear, quadratic and
interactive effects respectively.
Product analysis
The filtrate was analyzed by HPLC (Surveyor photodiode array
detector from ThermoFinnigan) with a UV detector (wavelength
220 nm). A Prevail Organic Acid column from Alltech (250 ¥
4.6 mm, 5 mm) was used with an aqueous solution of formic
acid 0.15% as eluant at 0.5 mL min-1 flow rate for 40 min.8 The
remaining sugar was quantified by HPLC analysis (Surveyor LC
pump from ThermoFinnigan) coupled with an evaporative light
scattering detector. A Prevail carbohydrates ES column, also
from Alltech (250 ¥ 4.6 mm, 5 mm), was used with a solution
of 75% acetonitrile in water as eluant at 1 mL min-1 flow rate
for 30 min. In addition, a guard column of the same packing
material was also used for both sugar and acid analysis.
Output in lactic acid and conversion of glucose were estimated
on a carbon percentage basis (C-%) from eqn (2) and (3) in the
following way:
In our study, three reaction conditions designated by x1, x2,
and x3 for specific power applied (W g-1 of product), alkali
concentration (equiv/initial sugar) and time (min), respectively,
were selected as being the experimental factors. For economic
reasons, we have chosen to work between a specific power range
of 2 W g-1 to 4 W g-1. The coefficients (ai, aij) in the model
equation were determined using the linear regression function
R
on Excelꢀ software. The determination of optimum conditions
and investigation of lactic acid output behaviour are illustrated
by contour plots produced from eqn (1).
Table 6 presents the boundary values of reaction conditions
in the experimental field.
(molar concentration of lactate formed×3)×100
C-% yield of lactic acid=
Acknowledgements
(molar concentration of introduced sugar×6)
The authors thank the “Industries and Agroresources” com-
petitiveness cluster and the “Conseil Re´gional de Picardie” for
financial support.
(2)
{1−(molar concentration of remained sugar)}×100
% glucose conversion =
(molar concentration of introduced sugar)
(3)
Notes and references
1 (a) T. B. VickRoy, Lactic acid in: Comprenhensive Biotehnology,
Moo-Young Ed., Pergamon press, 1985, pp761-776; (b) Y. B. Wee,
J. N. Kim and H. W. Ryu, Food Technol. Biotechnol., 2006, 44, 163;
(c) R. P. John, K. M. Nampoothiri and A. Pandey, Appl. Microbiol.
Biotechnol., 2007, 74, 524.
2 (a) B. Gullon, R. Yanez, J. L. Alonso and J-C Parajo, Bioresour.
Technol., 2008, 99, 308; (b) Y. J. Wee and H. W. Ryu, Bioresour.
Technol., 2009, 100, 4262; (c) R. P. John, G. S. Anisha, K. M.
Nampoothiri and A. Pandey, Biotechnol. Adv., 2009, 27, 145;
(d) M. G. Adsul, A. J. Varma and D. V. Gokhale, Green Chem.,
2007, 9, 58.
Optimization method
A response surface methodology (RSM) was used to find
optimum operating conditions for the formation of lactic acid.
Thus, a Box–Benkhen design, with three factors was chosen. The
execution of such a design is a rapid and effective technique for
finding the optimal operating conditions in order to improve the
results.9,10 The implementation of the design includes the setting
This journal is
The Royal Society of Chemistry 2010
Green Chem., 2010, 12, 502–506 | 505
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