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Boreskov Institute of Catalysis of the Siberian Branch of Russian ...

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PP-I-9The increase in pressure, in <strong>the</strong> concentration <strong>of</strong> sulphur trioxide in oleum and in <strong>the</strong>temperature cause a raise <strong>of</strong> <strong>the</strong> methane esterification rate. Therefore <strong>the</strong> reaction rate (r)consists <strong>of</strong> <strong>the</strong> function <strong>of</strong> <strong>the</strong> sulfur trioxide concentration, function <strong>of</strong> <strong>the</strong> methane partialpressure, function <strong>of</strong> <strong>the</strong> temperature (equation [a]).dCdtE= r = f (T) ⋅ f (C ) ⋅ f (p )[a]01SO23 CH 4C E , C SO – methyl bisulfate, sulfur trioxide concentration [mol⋅dm–3 3]p CH 4– methane partial pressure [MPa]f 0(T) – function <strong>of</strong> <strong>the</strong> temperaturef31(CSO) – function <strong>of</strong> <strong>the</strong> sulfur trioxide concentration2(pCH) – function <strong>of</strong> <strong>the</strong> methane partial pressuref4We have found that <strong>the</strong> <strong>the</strong>oretical equation <strong>of</strong> <strong>the</strong> reaction rate for methane to esterconversion can be defined by equation [b]:n 2⎡⎤n ⎛ 0.00082T ⋅C⎞1Er = k ( − + ) ⎢⎜ −+⎟TC0SO2C a p0.10C + b⎥3 E0 CH4E[b]⎢⎣⎝ 0.15 − 0.0043CE ⎠ ⎥⎦T – <strong>the</strong> temperature <strong>of</strong> <strong>the</strong> process [K]k T – <strong>the</strong> reaction rate constant at <strong>the</strong> temperature Tp0CH 4– initial methane partial pressure [MPa]C0SO 3– initial sulfur trioxide concentration [mol⋅dm –3 ]a, b, n 1 , n 2 – empirical factorsOn <strong>the</strong> base <strong>of</strong> <strong>the</strong> experimental work <strong>the</strong> empirical factors and reaction rate constant atdifferent temperatures were determined. The relationship <strong>of</strong> <strong>the</strong> logarithm <strong>of</strong> <strong>the</strong> reaction rateand <strong>the</strong> inverse temperature was <strong>the</strong> straight line. The activation energy was calculated.AcknowledgmentA financial support from <strong>the</strong> Polish Scientific Research Committee (Research Project 2053705 33) is gratefully acknowledged.References1. Periana R. A., Taube D. J., Evitt E. R., Löffler D. G., Wentrcek P. R., Voss G., Masuda T., Science, 1993,259, 340 – 343.2. Gang X., Birch H., Zhu Y., Hjuler H. A., Bjerrum N. J., J. Catal., 2000, 196, 287 – 292.3. Periana R. A., Taube D. J., Gamble S., Taube H., WO 98/50333, 1998.4. Michalkiewicz B., Kałucki K., Sośnicki J.G, J. Catal., 2003, 215, 14–19.5. Gang X., Zhu Y., Birch H., Hjuler H.A., Bjerrum N.J., Appl. Catal. 2004, 261, 91–98.6. Periana R.A., Mirinov O., Taube D.J., Gamble S., Chem. Commun., 2002, 2376–2377.228

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