1824
Russ.Chem.Bull., Int.Ed., Vol. 61, No. 9, September, 2012
Langeroodi et al.
Table 1. Rate constants of sucrose hydrolysis (k) on V O /SiO
2
at different temperatures
ln(k/T)
12
2
5
–
–
–
T/K T–1•104 k•10 /s
4
–1
(k/T)•107 –lnk
–ln(k/T)
13
14
3
3
3
3
23
33
43
53
30.95
30.03
29.15
28.32
1.25
2.10
5.70
3.86
6.30
16.61
56.09
8.99
8.47
7.47
6.22
14.76
14.28
13.31
12.09
19.80
–15
2
.9
3.0
T–1•10 /K
3
–1
Thus, the plot of ln(k/T) vs 1/T should be a straight line,
whose slope and the section cut by the straight line in the
ordinate can be used for the calculation of the activation
Fig. 4. Dependence of lnk on T–1 in the coordinates of the
Eyring equation.
enthalpy (H ) and activation entropy (S ). The obꢀ
,
tained results are shown in Fig. 4. The calculated values of
level of catalytic activity. Other advantages are the simꢀ
plicity of preparation, a high activity in hydrolysis, and a
low cost of manufacturing of this catalytic system.
#
–1
#
–1 –1
–1
H (kJ mol ), S (kJ mol
K ), E (kJ mol ), and
a
A for sucrose hydrolysis in the presence of V O /SiO are
2
5
2
given below.
H
S
A•10–10
References
Ea
8
4.84
–0.0595
87.65
1.5
1
2
. C. Moreau, R. Durand, F. Alies, M. Cotillon, T. Frutz, M. A.
Theleyre, Crops Products, 2000, 11, 237.
. M. Kunz, Hydroxymethylfurfural, a Possible Basic Chemical
for Industrial Intermediates, in Inulin and Inulin Containing
Crops, Ed. A. Fuchs, Elsevier, Amsterdam, 1993.
It is known that sucrose hydrolysis occurs only in the
presence of a catalyst. To explain the principle of selection
of a heterogeneous catalyst for this reaction, one can use
the equation20
3
. C. Moreau, R. Durand, S. Razigade, J. Duhamet, P. Fauꢀ
geras, P. Rivalier, P. Ros, G. Avignon, Appl. Catal. A: Gen.,
Eapp = Etru — H + H ,
(9)
A
B
1
996, 145, 211.
where Eapp and Etru are the apparent and true activation
energies, and H and H are the bond energies of comꢀ
4
. R. H. Clark, J. Am. Chem. Soc., 1921, 43, 1759.
5. M. A. Rosanoff, H. M. Potter, J. Am. Chem. Soc., 1913, 35, 248.
A
B
ponents А and B with the catalyst surface. This equation
describes the binary system in which one of the compoꢀ
nents forms a strong bond with the surface (H << 0).
Therefore, we assume that the corresponding catalyst with
6
. S. Buchanan, D. G. Kubler, C. Meigs, M. Owens, A. Tallꢀ
man, Int. J. Chem. Kinet., 1983, 15, 1229.
7. J. R. Ward, Int. J. Chem. Kinet., 1985, 17, 11.
8
9
. C. Buttersack, D. Laketic, J. Mol. Catal., 1994, 94, 283.
. N. C. Mitra, R. S. Banerjee, A. Sarkar, J. Appl. Polym. Sci.,
a reasonably high value of Hads for Н О adsorption can
2
1
995, 55, 407.
be selected for the hydrolysis of sucrose. This value can be
1
1
0. I. Plazi, S. Leskovsek, T. Kolioni, Chem. Eng. J., 1995, 59, 253.
1. C. Moreau, R. Durand, J. Duhamet, P. Rivalier, J. Carboꢀ
hydr. Chem., 1997, 16, 709.
12. M. M. Nasef, H. Saidi, M. M. Senna, Chem. Eng. J., 2005,
08, 13.
13. G. Bussiere, P. Nowak, M. Cotillo, Les. Sucres Invertis., 1990.
estimated theoretically or determined by experimental
2
1
methods. Although SiO is a hydrophilic catalyst, the
2
V O /SiO system adsorbs water not very strongly, and
2
5
2
this makes it possible to use the latter as a catalyst for
sucrose hydrolysis. An advantage of this catalyst is a stable
1
1
1
1
1
4. B. HahnꢀHagerdal, K. Skoog, B. Mattiasson, Eur. J. Microꢀ
biol. Biotechnol., 1983, 17, 344.
5. F. Arena, F. Frusteri, G. Martra, S. Coluccia, A. Parmaliana,
J. Chem. Soc., Faraday Trans., 1997, 93, 3849.
6. A. Vogel, Textbook of Quantitative Inorganic Analysis, Longꢀ
man, London, 1978.
lnk
–
–
–
6.5
7.5
8.5
7. E. A. Guggenheim, Phil. Mag., 1926, 2, 538.
18. B. G. Cox, Modern Liquid Phase Kinetics, Oxford Science
Publisher, Oxford, 1994.
1
9. S. Glasstone, K. J. Laidler, H. Eyring, The Theory of Rate
Processes, Mc GrawꢀHill, New York, 1941.
0. G. C. Bond, Catal. Today, 1999, 49, 41.
1. V. Ya. Davydov, Adsorption on Silica Sulfases, Marcel Dekꢀ
ker Inc., New York, 2000.
2
2
T–1•10 /K
3
–1
2
.9
3.0
Fig. 3. Dependence of lnk on T–1 in the coordinates of the
Arrhenius equation.
Received December 21, 2010