678
Table 1. Parameters of Arrhenius and van’t Hoff equations
Parameters of Arrhenius equation
SULIMOV et al.
k0i*
Ei, kJ/mol
Reaction (i)
(3.12 0.16) × 102
(9.09 0.45) × 10
(41.21 2.1) × 103
(57.30 2.9) × 103
(57.45 2.9) × 103
(50.86 2.5) × 103
(I)
(II)
(III)
(IV)
(5.02 0.25) × 10
(2.93 0.15) × 10
Parameters of van’t Hoff equation
K0Н О
K0GD
QGD
× 103
× 102
2
2
Q
Н2О2
L/mol
kJ/mol
3.16 0.16
74.95 3.75
14.69 0.73
9.27 0.46
2
* Dimensions of k , k and k , k are L/(s g) and L /(mol s g), respectively.
01 04
02 03
5. Fajdek, A., Wroblewska, A., and Milchert, E., React.
Kinet. Mech. Catal., 2011, vol. 103, no. 2, p. 451.
6. Harvey, L., Kennedy, E., Dlugogorski, B.Z., and
Stockenhuber, M., Appl. Catal. A. General, 2015,
vol. 489, p. 241.
The obtained mathematical model was estimated
for adequacy using the Fischer criterion. The pro-
posed kinetic model adequately describes our experi-
mental data (Figs. 3–5) and can be used for engineer-
ing calculations.
7. Wroblewska, A. and Makuch, E., J. Adv. Oxid. Technol.,
2014, vol. 17, no. 1, p. 44.
CONCLUSIONS
8. Wroblewska, A., Makuch, E., Dzieciol, M., Jedrzejew-
ski, R., Kochmanski, P., Kochmanska, A., and
Kucharski, L., Polish J. Chem. Technol., 2015, vol. 17,
no. 4, p. 23.
9. Agrawal, G.L., Singh, J.V., and Mishra, K., Oxid. Com-
mun., 2002, vol. 25, no. 1, p. 87.
The proposed kinetic model provides the possibility
to predict the reaction mixture composition at different
temperatures, initial ratios of reagents, and Н2О2 con-
versions. The set of differential equations (8)–(15) most
completely reflects the real liquid-phase process of allyl
alcohol epoxidation with an environmentally friendly
hydrogen peroxide solution in the presence of titanium
silicate and can be used in engineering calculations for
designing an epoxidation reactor.
10. Beg, M.A. and Ahmad, I., Indian J. Chem., 1977,
vol. 15, no. 7, p. 656.
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13. US Patent 4410501, 1983.
ACKNOWLEDGMENTS
This work was financially supported by the Russian
Ministry of Education and Science (subsidy grant
agreement no. 14.577.21.0093, unique applied research
identifier RFMEFI57714X0093).
14. Ovcharova, A.V., Danov, S.M., and Sulimov, A.V.,
Khim. Interesah Ustoich. Razvit., 2010, no. 18, p. 767.
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Translated by E. Glushachenkova
KINETICS AND CATALYSIS
Vol. 58
No. 6
2017