Journal of Natural Gas Chemistry 11(2002)70-78 Kinetics of the Oxidative Dehydrogenation of Isobutane over Cr2 O3/La2 (CO3 )3 Yanping Sun, Tracey A. Robson, Trevor C. Brown∗ School of Biological, Biomedical & Molecular Sciences, University of New England, Armidale, NSW, 2351, Australia [Manuscript received July 23, 2002; revised August 23, 2002] Abstract: The oxidative dehydrogenation (ODH) of isobutane over Cr2 O3 /La2 (CO3 )3 has been investigated in a low-pressure Knudsen cell reactor, under conditions where the kinetics of the primary reaction steps can be accurately determined. By heating the catalyst at a constant rate from 150–300 , temperature fluctuations due to non-equilibrium adsorption are minimized. The evolved gas profiles show that ODH to isobutene and water is a primary reaction pathway, while carbon dioxide, which forms from the catalyst during reaction, is the only other product. This CO2 evolution may enhance the activity of the catalyst. Isobutene formation proceeds with the participation of lattice oxygen from the Cr 2 O3 /La2 (CO3 )3 catalyst. The intrinsic Arrhenius rate constant for the ODH of isobutane is k(s−1 ) = 1011.5±2.2 exp{−((55 ± 5) − 4Hads kJmol−1 )/RT } The small pre-exponential factor is expected for a concerted mechanism and for such a catalyst with a small surface area and limited porosity. Key words: catalytic kinetics, oxidative dehydrogenation, molecular flow, isobutane, isobutene, Cr2 O3 /La2 (CO3 )3 (CH3 )3 CH(g) + O(catalyst)→ (CH3 )2 C=CH2 (g) + H2 O(g) 1. Introduction There is a high and growing market demand for isobutene, particularly because isobutene is a key reactant for the production of methacrylates and MTBE (methyl-tert-butylether). Isobutene is typically produced in industry by the endothermic dehydrogenation of isobutane over a Cr2 O3 /Al2 O3 catalyst at ca. 900 K and a contact time of 1 s [1]. Disadvantages of this process are that high selectivity is only achievable at low conversions and the catalyst is readily deactivated by coke deposition. Oxidative dehydrogenation (ODH) is, in principle, a more efficient and less energy intensive alternative to direct dehydrogenation. The overall reaction for the ODH of isobutane is ∗ This is an exothermic process, which with an overall positive entropy change leads to a negative Gibbs free energy and hence, unlike dehydrogenation, is spontaneous at low temperatures. Coke deposition is generally not observed. Disadvantages of this process are that CO2 and CO are also thermodynamically favored products and low temperatures can result in low reaction rates. The ideal catalyst and conditions for ODH would inhibit complete oxidation, but would allow the reaction to proceed at a high rate. Supported chromium oxides are known to selectively catalyze the oxidation of hydrocarbons [2-5]. Grabowski et al. [4] observed that, for the ODH of isobutane, chromia supported on SiO2 , Al2 O3 , Corresponding author. Tel: +61 2 6773 2872; Fax: +61 2 6773 3268; E-mail; [email protected]. 2 Yanping Sun et al./ Journal of Natural Gas Chemistry Vol. 11 No. 1 2002 TiO2 , ZrO2 and MgO are active at relatively low temperatures (200–400 ). The highest selectivities (ca. 73% at 5% conversion) and highest yields (ca. 9%) are obtained for CrOx /TiO2 and a K-promoted CrOx /Al2 O3 preparation. Moriceau et al. [5] reported that Cr–Ce–O catalysts are active and selective (ca. 60% at 10% conversion) for the ODH of isobutane at low temperature (270 ), and a maximum isobutene yield of 8% could be achieved. Hoang et al. [2] found that Cr2 O3 /La2 (CO3 )3 exhibits very high activity and selectivity (ca. 95% at 12.5% conversion) to the ODH of isobutane at low temperatures (230–250 ), and CO2 is the only observed by-product. Therefore this catalyst is an ideal candidate for more detailed kinetic studies. Most heterogeneous catalysis reaction mechanisms have been investigated under high-pressure conditions where secondary reactions proliferate. As a consequence observed products may not represent the initial intrinsic reaction but result from a series of bimolecular steps. In this paper, the kinetics of the initial steps in the ODH of isobutane over Cr2 O3 /La2 (CO3 )3 have been investigated in a Knudsen cell reactor [6-7]. Under low-pressure conditions, the first steps in a heterogeneous reaction can generally be identified because gas-phase collisions are effectively eliminated and surface bimolecular reactions are minimized. Furthermore, this technique allows for the determination of accurate rate parameters as the gas/surface collision frequency may be precisely calculated from the molecular flow rate, the geometric surface area of the catalyst and exit aperture area [6]. Also, by including temperature programming, temperature-fluctuations, resulting from non-equilibrium adsorption on clean surfaces are minimized and a wide range of temperatures can be investigated over a short period of time, without an internal standard. 2. Experiment The low-pressure reaction system has been described in detail elsewhere [6-7]. Briefly, isobutane passes through a variable leak valve (GranvillePhillips), through 240 mm of 1mm ID capillary glass tubing and into the Pyrex Knudsen cell containing the catalyst. Reactant molecules then experience collisions with the reactor walls and catalyst surface, prior to escaping through the exit aperture and into a quadrupole mass spectrometer. Flow rate is monitored before each temperature-programmed experiment by recording the pressure decrease from the pressure gauge situated, in a known volume, next to the variable leak valve. The evolved-gas detection system is a Hewlett Packard 5995 quadrupole mass spectrometer. Details of the two Knudsen cells used in the analysis are listed in Table 1. Collision numbers (Z) are calculated from the ratio of the geometric surface area of the catalyst (Scat ) to the area of the exit aperture (Sea ). The geometric surface area of the catalyst [8,9] is used as an estimate for the exposed catalyst surface area and may introduce errors of up to a factor of ten in the reported Arrhenius pre-exponential factors. A value for Scat of 480 mm2 is used in all calculations. Measured exit aperture areas are corrected by Clausing factors [10] to take into account the finite width of the exit aperture. Table 1. Key physical parameters for the two Knudsen cell reactors used in this study Cell parameters Reactor 1 Reactor 2 Volume (mm3 ) 8,700 ± 5 2,114 ± 5 Internal surface area (mm2 ) 2,570 ± 2 942 ± 2 Exit aperture area (mm2 ) 0.16 ± 0.03 0.37 ± 0.03 Clausing factor 0.20 ± 0.03 0.28 ± 0.03 Collision number 17,100 ± 3,000 3,010 ± 200 Residence time (s) 1.5(M/T)1/2 0.16(M/T)1/2 Cr2 O3 /La2 (CO3 )3 was prepared as described by Hoang et al. [2]. A 1:8 mole ratio solution of La2 (NO3 )3 ·6H2 O (CR, 99.999%, Aldrich Chemical Company, Inc.) and Cr(NO3 )3 ·9H2 O (TR, 99%, Aldrich Chemical Company, Inc.) was dropwise added to a stirred aqueous solution of 24 g/L NH4 HCO3 (AR, AJAX Chemical Ltd.). The resultant hydrogel was centrifuged, filtered and washed with water to remove unreacted nitrates. Organic residues were removed by washing with acetone with two more centrifuging and filtering steps. The resulting solid catalyst was dried at room temperature under nitrogen for 2 h and then at 110 in air for 4 h. The final catalyst was obtained by calcination at 300 in air for 2 h and then pressed binder-free and crushed to particles of 0.15–0.23 mesh size. The N2 BET surface area is 20 ± 10 m2 /g, while XRD results indicate that the Cr2 O3 /La2 (CO3 )3 catalyst 3 Journal of Natural Gas Chemistry Vol. 11 No. 1 2002 is amorphous. Room temperature FT-IR spectra of Cr2 O3 /La2 (CO3 )3 were recorded on a Perkin Elmer 1725X FT-IR spectrometer. An intense broad band is apparent at 917 cm−1 and a sharp band at 1,079 cm−1 . This is in agreement with the reported FT-IR spectrum on the same catalyst synthesized by Hoang et al. [2]. 3. Results 3.1. Temperature programmed reaction profiles Temperature-programmed combined product and reactant profiles were recorded for the ODH of isobutane over Cr2 O3 /La2 (CO3 )3 . Molecular flow rates into the two reactors ranged from 1.74×1014 to 2.54×1014 molecule/s, and the heating rate was varied from 2 to 10 /min. A careful analysis of the mass spectral profiles between 0 and 4% conversion indicates that the only evolved gases are isobutene, carbon dioxide and water. Other possible products, CO, acetone, propene and methane or organic acids and aldehydes are not apparent in the mass spectra. The rate of water evolution Table 2. Mass spectrometer calibration factors and conversion factors (α) for isobutane, isobutene and carbon dioxide Isobutane(I58 ) Isobutene(I56 ) Carbon Dioxide(I44 ) I56 /I58 0.1294 ± 0.0028 — — I44 /I58 0.8958 ± 0.0028 — — α (abundance·s/mole) (1.4 ± 0.2) × 1014 (1.8 ± 0.6) × 1015 (1.6 ± 0.8) × 1015 Typical temperature-programmed reaction profiles for isobutane decay, isobutene formation and carbon dioxide evolution are plotted in Figure 1, where the heating rate is 5 /min and the initial flow rate into Reactor 1 is 1.74 × 1014 molecule/s. Figure 1 shows that the abundance of isobutane slowly declines from 220 to 285 , while the corrected abundances of isobutene and carbon dioxide increase. Above 285 , the abundance of isobutane is effectively constant, while the abundances of isobutene and CO2 decrease. This adjustment in the high-temperature rate of change in evolution rates with increasing temperature is most likely due to saturation of active sites, limitations in the transfer of reactant to active sites or poisoning by product intermediates. Fractional could not be accurately determined as irreproducible amounts of water desorbs from the catalyst during temperature programming; these mass spectral profiles are influenced by factors such as pre-conditioning of the reactor and the mass spectrometer. Hence, the kinetics of water evolution was not determined. The reactant and two products are characterized by m/e = 58 (isobutane), m/e = 56 (isobutene), m/e = 44 (carbon dioxide). Isobutane contributes to the characteristic product peaks, m/e = 56 and m/e = 44, while isobutene does not affect the abundance of m/e = 44. For isobutane, the fractional contributions relative to m/e = 58 and m/e = 44, as well as mass-spectral conversion factors (α (abundance·s/mole)) are measured at the commencement of every temperatureprogrammed experiment. For the products, separate experiments using each product gas were carried out over a range of flow rates to determine conversion factors. Table 2 lists fractional abundances and conversion factors for the respective peaks. The rate of CO2 formation during temperature-programmed ODH is determined by deducting contributions from CO2 , which evolve from the catalyst under identical conditions except that no isobutane is present. isobutane decomposition and product yields were calculated from fDecomposition = fYield = ICo 4 H10 − IC4 H10 ICo 4 H10 αC4 H10 IProduct αProduct ICo 4 H10 (1) (2) Due to low yields fractional data, particularly for isobutane decay, has a large signal-to noise ratio. As a consequence Figure 2 shows only modeled percentage isobutane decay, but both raw and modeled product formation data are plotted. The model is simply a quadratic fit to the data from equations (1) and (2). The raw data, however, were used in the kinetic calculations. Figure 2 shows the low yield of isobutene, 4 Yanping Sun et al./ Journal of Natural Gas Chemistry Vol. 11 No. 1 2002 and indicates that CO2 is the major evolved species; formation rate is greater than isobutane decomposition. Figure 1. Corrected abundances for isobutane (m/e = 58), isobutene (m/e = 56) and carbon dioxide (m/e = 44) during the temperature programmed ODH of isobutane over Cr2 O3 /La2 (CO3 )3 in Reactor 1. Isobutane flow rate was 1.74 × 1014 molecule/s and heating rate 5 /min. 3.2. Mechanism for the formation of isobutene The rate-determining step for the ODH of hydrocarbons is, for most systems, the breaking of a C–H bond by surface oxygen to form an alkyl species [1113]. At low-pressure and in the absence of gaseous oxygen, the rate-controlling mechanism for the ODH of isobutane is Here Sunactivated and Sactivated refer to non-catalytic and catalytic sites on the Cr2 O3 /La2 (CO3 )3 surface. In the kinetic analysis, diffusion to and from active sites (R2) is initially assumed to be rapid and not rate-determining. As a consequence, the key reaction steps are reversible adsorption (R1) and C–H bond breaking (R3). The rate constants k−1 and k3 have units 1/(s·site), while A1 PC4 H10 , where P is pressure, is the isobutane/catalyst surface collision frequency. The abundance of a mass spectral peak (IProduct), which is uniquely characteristic of a primary product, is proportional to the mass-spectral calibration factor and the product flow rate [14]. dnProduct IProduct = dt αProduct (3) The product flow rate may be calculated from the collision number Z, the average reactant flow rate and the ratio of first-order rate constants determined by assuming a steady-state coverage of isobutane: dnProduct k3 dnC4 H10 −E1 /RT = Z e dt k−1 + k3 dt (4) Here the product of Z, the average reactant flow rate and exp(-E1 /RT) is equal to the effective collision frequency on the catalyst surface or k1 PC4 H10 , where PC4 H10 is the isobutane pressure. As a first approximation equation (4) can be further simplified by noting that under most conditions k−1 k3 . Collision numbers are listed in Table 1, while the reactant flow rate is calculated from the mean of mass spectral abundances entering and leaving the Knudsen cell. Figure 2. Percentage product yields (isobutene and carbon dioxide) and reactant decomposition (isobutane) during the temperature programmed ODH of isobutane over Cr2 O3 /La2 (CO3 )3 in Reactor 1. Isobutane flow rate was 1.74 × 1014 molecule/s /min. and heating rate 5 k3 (ICo 4 H10 + IC4 H10 ) −E1 /RT IProduct = Z e αProduct k−1 2αC4 H10 (5) ICo 4 H10 and IC4 H10 are abundances for isobutane before and after reaction respectively, and αC4 H10 is the mass spectral conversion factor (abundance·s/molecule). 5 Journal of Natural Gas Chemistry Vol. 11 No. 1 2002 The activation energy for adsorption (E1 ) of isobutane onto the Cr2 O3 /La2 (CO3 )3 is included in equations (4) and (5). Hence, the full rate expression with Arrhenius parameters is IProduct = (6) αProduct Io + IC4 H10 −E1 + E−1 − E3 A3 Z C4 H10 exp A−1 2αC4 H10 RT The unknowns in this expression are the preexponential factors and activation energies, and are determined by taking natural logarithms of equation (6) to give o (IC4 H10 + IC4 H10 ) αProduct Z = −ln 2αC4 H10 IProduct A3 −E1 + E−1 − E3 (7) ln + A−1 RT pre-exponential factor for reaction (R3), can be calculated by estimating the isobutane desorption preexponential factor, A−1 . Pitt et al. [15] has calculated that for physisorbed systems, these factors should be in the range 1011 –1013 s−1 , with mean value A−1 = 1012.0±1.0 s−1 . The intrinsic activation energy for the ODH of isobutane can be calculated by adding the enthalpy of adsorption to the apparent activation energy. However, no adsorption enthalpies for isobutane on Cr2 O3 /La2 (CO3 )3 have been reported in the literature. Table 3 lists apparent and intrinsic Arrhenius pre-exponential factors and apparent activation energies with corresponding standard deviations determined from three temperatureprogrammed experiments on the ODH of isobutane over Cr2 O3 /La2 (CO3 )3 . Hence, a plot of the left-hand side of equation (7), which are all measurable quantities, against 1/RT produces a straight line with an intercept at ln(A−1 /A3 ) and a slope of E3 +E1 -E−1 . The slope is the intrinsic activation energy for reaction plus the enthalpy of adsorption (E3 +4Hads ). 3.3. Model results As the rise in isobutane decomposition and isobutene formation decreased beyond 285 (see Figure 1), due to poisoning, mass transfer limitations or saturation of active sites, this data was discarded for kinetic calculations. The Arrhenius plot described by equation (7) is shown in Figure 3 for the temperature-programmed experiment performed in Reactor 1 with heating rate of 5 /min and initial isobutane flow rate of 1.74 × 1014 molecule/s. The Table 3. Figure 3. Arrhenius-type plot of ln (k −1 /k 3 ) against 1/RT for the ODH of isobutane Kinetic parameters obtained for ODH of isobutane over Cr2 O3 /La2 (CO3 )3 Experiment No. 1 2 3 E3 +∆Hads (kJ/mol) 58 ± 4 54.2 ± 1.5 53.7 ± 2.2 55 ± 5 logA−1 /A3 A3 (s−1 ) 0.1 ± 0.4 1011.9±1.4 0.52 ± 0.15 1011.5±1.2 0.79 ± 0.22 1011.2±1.2 0.5 ± 0.6 1011.5±2.2 4. Discussion 4.1. Infrared Spectroscopy of Cr2 O3 /La2 (CO3 )3 There have been a number of infrared spectroscopy studies of the formation of surface chromate [16,17]. For supported chromium oxide on alumina, Average zirconia, titania, and silica IR spectra are characterized by a high-frequency group consisting of bands at 1,000–1,050 cm−1 assigned to isolated or nonisolated Cr(V)=O species and a lower frequency group consisting of bands in the 850–950 cm−1 region attributable to Cr(VI) poly-chromate or dichromate species. Hoang et al. [3] has shown that no Cr(V)=O 6 Yanping Sun et al./ Journal of Natural Gas Chemistry Vol. 11 No. 1 2002 species are apparent in the Cr2 O3 /La2 (CO3 )3 synthesized for this study, while an IR band at 917 cm−1 corresponds to the formation of surface chromate species, and the band at 1,079 cm−1 is from La2 (CO3 )3 . This catalyst has also been investigated by XPS and temperature-programmed decomposition (TPD), showing that the active phase for ODH of isobutane is surface oxide chromates in which chromium is chemically bound to the oxygen of lanthanum carbonate, and not to bulk chromium oxide or LaCrO3 [3]. 4.2. Oxygen species on the ODH of isobutane over Cr2 O3 /La2 (CO3 )3 Lattice oxygen, and not gas-phase or physisorbed oxygen, must be involved in the dehydrogenation of isobutane and formation of water. This is because all temperature-programmed reaction profiles were recorded in the absence of gas-phase oxygen, and following repeated calcinations to 400 . As a consequence, the ODH of isobutane follows a Mars-van Krevelen mechanism, which is common for many selective oxidation reactions, whereby adsorbed hydrocarbon reacts with lattice oxygen [18-20]. of the Cr2 O3 /La2 (CO3 )3 catalyst has previously been reported by Hoang et al. [2] There are two explanations for the low apparent activation energy for the ODH of isobutane on Cr2 O3 /La2 (CO3 )3 . Table 4. Apparent activation energies for ODH of isobutane and n-butane Reactant Catalyst E3 +∆Hads Reference (kJ/mol) isobutane Cr2 O3 /La2 (CO3 )3 55.3 ± 5.3 This work isobutane CrOx /SiO2 83 [4] isobutane KCrOx /SiO2 64 [4] isobutane CrOx /Al2 O3 19 [4] isobutane KCrOx /Al2 O3 88 [4] isobutane CrOx /TiOI 2 106 [4] isobutane /TiOI 83 [4] 2 72 [4] /TiOI 78 [4] isobutane isobutane KCrOx CrOx /TiOII K-CrOx 2 2 4.3. Kinetic Parameters for ODH of isobutane Haber [18] has indicated that ODH and complete oxidation to CO2 proceed via two distinct pathways. For ODH two hydrogen atoms are abstracted, water desorbs and a new C–C bond forms, while for complete oxidation hydrogen abstraction is followed by oxygen atom addition. As discussed below, it is most likely that for the current system, CO2 is a product from the catalyst surface, rather than from complete oxidation of isobutane. Hence, in the following kinetic analysis of the ODH of isobutane, CO2 formation is not included in the calculations. Experimental activation energies reported in the literature for the ODH of isobutane and n-butane over metal oxides are listed in Table 4. These are apparent values and represent a combination of the adsorption enthalpy (∆Hads ) and the intrinsic reaction activation energies (E3 ). These apparent activation energies for the ODH of isobutane and n-butane are strongly dependent on the type of catalyst and the nature of the support. For the ODH of isobutane over Cr2 O3 /La2 (CO3 )3 the activation energy (55 ± 5 kJ/mol) is at the lower end of these energies, but greater than that reported for isobutane over CrOx /Al2 O3 (19 kJ/mol). The high ODH reactivity isobutane CrOx /MgO 124 [4] isobutane K-CrOx /MgO 83 [4] isobutane CrOx /ZrO2 70 [4] isobutane K-CrOx /ZrO2 93 [4] n-butane α-NiMoO4 39.4 [30] n-butane 3%Cs-NiMoO4 75.9 [30] 1. The Cr–O bond energy in Cr2 O3 is low and Cr3+ reduction potential is high. Previous temperature-programmed reduction, oxygen TPD and allyl iodide probe reaction measurements [21] have shown that the surface oxygen on chromium oxide-based catalyst is active at relatively low temperatures. Furthermore it has been reported that on the surface of chromium oxides Cr3+ ions readily oxidize to Cr6+ with uptake of oxygen, to form surface Cr6+ – O; labile oxygen species [19,22]. The apparent activation energy is the sum of ∆Hads and the activation energy of the rate-determining step, which for ODH is assumed to be C–H fission. Generally, molecular adsorption of isobutane on chromates is very weak [22], so ∆Hads values are small. As a result, apparent activation energies often reflect the bond fission step. Activation of the C–H bond involves a concerted reaction with lattice oxygen atoms, leading to alkoxide and hydroxyl groups as well as reduction of metal cations. Therefore, the intrinsic activation energy depends on the reduction potential of the cations and on the strength of the metal–O–H bonds. More Journal of Natural Gas Chemistry Vol. 11 No. 1 2002 reducible cations and low metal–O–H bond energies lead to smaller activation energies, and to higher ODH rates. The cleavage of C–H bonds in alkanes, however, also depends on the electron density (basicity) of the lattice oxygen anions that abstract the H atoms [23]. 2. The support has an indirect effect on the apparent activation energy. The catalytic properties of supported chromium oxide catalysts have been attributed to surface chromium species which form as a result of metal-support interaction [24], while bulk oxides are inactive phases [25]. Hoang et al. [24] showed that lanthanum carbonate is a particularly effective support to chromium oxide for the ODH of isobutane. The introduction of La2 (CO3 )3 changes the acidity and basicity of chromium oxide, which weakens oxygen bonds or creates more reducible metal cations. Intrinsic pre-exponential factors (1011.5±2.2 s−1 ), listed in Table 3, are similar to typical factors observed for concerted unimolecular gas-phase reactions where entropy changes between reactant and transition-state are negligible (ekT /h ) [26]. This confirms that the rate-determining step involves a concerted rearrangement. Implicit in calculating the ODH pre-experimental factors is that the coverage of external sites is equal to the coverage of active sites. As the magnitude of these factors is not large, only the external surface of Cr2 O3 /La2 (CO3 )3 must be involved in the ODH of isobutane, or diffusion into micropores of the catalyst is rapid. For this catalyst, the surface area is low (20 m2 /g), indicating limited micropore structure. An assumption made in deriving equation (5) is that k−1 k3 . However, the apparent activation energy and pre-exponential factor are both sufficiently small that k3 maybe similar in magnitude to k−1 . If k3 = k−1 then equation (7) becomes o (IC4 H10 + IC4 H10 ) αProduct Z = −ln 2αC4 H10 IProduct 1 ln + (−E1 /RT ) (8) 2 In this case the Arrhenius plot, shown in Figure 3, will have an intercept at ln (1/2) and the apparent activation energy equals the activation energy for isobutane adsorption on the catalyst surface. Of the kinetic parameters listed in Table 3 the apparent preexponential factor of log (0.5 ± 0.6) is in close agreement with ln (1/2), but the activation energy (55 ± 5 kJ/ mol) is well in excess of that expected for adsorption. 7 4.4. Formation of Carbon Dioxide Figure 1 contains a representative plot of corrected m/e = 44 abundance characteristic of evolved carbon dioxide plotted against temperature. The abundance has been corrected for background CO2 as well as contributions from isobutane. This figure shows that a large amount of CO2 is produced during reaction. Evolution rate is approximately 4– 10 times larger than that evolved during background measurements. The yield of CO2 , shown in Figure 2, is ca. 8 times greater then the yield of isobutene. There are three possible sources of CO2 from the Cr2 O3 /La2 (CO3 )3 catalysis of isobutane. 1. Complete catalytic oxidation of hydrocarbons to COx in the presence of gas-phase oxygen is generally described by a Langmuir-Hinshelwood mechanism in which adsorbed hydrocarbon reacts with dissociatively adsorbed oxygen [18,20,27]. In the Knudsen cell, gaseous O2 is excluded, so this pathway is not apparent. Furthermore, CO is not observed during reaction, as also shown by Hoang et al. [2], and so gas-phase oxidation of isobutane is not occurring. For oxidation catalysis of hydrocarbons via lattice oxygen the initial step is hydrogen atom abstraction to form a carbocation. The relative rates of ODH to complete oxidation depend on the relative rates of C–C and C–H bond breaking within adsorbed alkyl species, and on the propensity for C–O bond formation [11]. The breaking of C–C bonds require concurrent interaction of two oxygen atoms with two neighboring carbon atoms. Such interaction is favored in the case of linear alkanes, which can adopt a planar configuration, parallel to the catalyst surface. Owing to the quasi-tetrahedral configuration of isobutane, the tert-carbon atom would be located at a greater distance from the surface than the primary carbons, and so C–C fission is difficult. Moreover, the most stable location of the carbocation’s positive charge is on this more distant tert-carbon, which may hinder C–O bond formation. Complete oxidation cannot be dismissed as a mechanism to CO2 , but the absence of CO and the decreased possibility of C–C bond breaking and C–O bond formation, should mean a low selectivity for this pathway. 2. A cracking mechanism is possible whereby a methyl group is eliminated, decomposes to carbon and is subsequently oxidized to CO2 . For this pathway, other products such as propene or ethene should be observed, however none were found in the mass spectral profiles. 8 Yanping Sun et al./ Journal of Natural Gas Chemistry Vol. 11 No. 1 2002 3. Removal of oxygen atoms from the catalyst surface during the ODH of isobutane brings about a simultaneous removal of CO2 from the catalyst/support system. This view is supported by the results of Hoang et al. [3] They found that the CO3 2− /La ratios in Cr2 O3 /La2 (CO3 )3 obtained by XPS analysis after reaction were much lower than the prereaction ratio of 1.5. The similarity in the trends of increasing isobutene and carbon dioxide evolution rates with increasing temperature makes this the most likely source of CO2 during reaction. This mechanism can also explain the relative activities and selectivities of supported chromium oxide catalysts studied by Hoang et al. [24,28] That is, the reactivity of Cr2 O3 supported on La2 (CO3 )3 is greater than that on other lanthanum compounds even through La2 (CO3 )3 possesses a lower surface area (20 m2 /g). Mamedov et al. [29] found that the ODH of isobutane to isobutene over Cr–Mn–O/Al2 O3 catalyst was three times greater in the presence of CO2 than in the absence of CO2 . Mamedov et al. showed that the CO2 reoxidized the catalyst and removed the hydrogen from the product mixture by the reverse water gas shift reaction therefore reducing the occurrence of the reverse reaction. 5. Conclusion A low-pressure Knudsen cell was used to investigate the ODH of isobutane over the Cr2 O3 /La2 (CO3 )3 catalyst. Despite the low yields of isobutane, the results were found to be sufficiently sensitive, to calculate accurate rate parameters. The evolved products of the ODH are isobutene, water and carbon dioxide. The formation of isobutene proceeds with participation of the lattice oxygen on the surface of the Cr2 O3 /La2 (CO3 )3 catalyst. The large amount of CO2 emission is most likely to be from the catalyst surface immediately following ODH of isobutane, and so is not a primary product of the reaction. This evolved CO2 may enhance the activity of the Cr2 O3 /La2 (CO3 )3 catalyst. The geometric surface area of the catalyst and the effective area of the exit aperture were used to determine the collision frequency of the isobutane molecule. The collision frequency, the ratio of conversion factors of reactant and product as well as their measured abundances during the reaction allowed for an accurate calculation of the kinetic parameters for the ODH of isobutane over Cr2 O3 /La2 (CO3 )3 in the ab- sence of gaseous oxygen. 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