Abstract
Different procedures to extract the kinetics of hydrogen desorption from a Cu/ZnO/Al2O3 catalyst for methanol synthesis were studied by performing temperature-programmed desorption experiments under atmospheric pressure. The four methods include (i) heating rate variation, (ii) analysis using a fixed pre-exponential factor, (iii) lineshape analysis and (iv) full analysis. Before extracting the parameters, transport limitations could be excluded for all experiments and a criterion for inner particle mass transfer limitations could be extended in the case of activated re-adsorption. All methods could be valid in the whole range of experiments, with only one exception for the lineshape analysis at full coverage of hydrogen. However, each method requires different input to extract physically meaningful parameters. The best modeling results were obtained when repulsive interactions of adsorbed species were accounted for. This led to a k des = 3.75·1010 s−1·exp (−(75 kJ·mol−1−5.5 kJ·mol−1·Θ 2.6H )/RT) in good agreement with the literature. Moreover, it was found that there is no difference, when extracting the kinetic parameters from a fresh or deactivated catalyst at full coverage.
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Abbreviations
- A ads :
-
Arrhenius factor of adsorption (Pa s)−1
- A des :
-
Arrhenius factor of desorption (s−1)
- \( c_{{{\text{H}}_{ 2} }} \) :
-
Concentration of hydrogen (mol m−3)
- D ax :
-
Axial dispersion coefficient (m2 s−1)
- D e :
-
Effective diffusion coefficient (m2 s−1)
- E ads :
-
Activation energy of adsorption (kJ mol−1)
- E des :
-
Activation energy of desorption (kJ mol−1)
- K :
-
Factor of coverage-dependent activation energy (kJ mol−1)
- k ads :
-
Reaction rate constant of adsorption (Pa s)−1
- k des :
-
Reaction rate constant of desorption (s−1)
- L :
-
Length of reactor bed (m)
- n :
-
Power of coverage-dependent activation energy (–)
- \( N_{{{\text{H}}_{ 2} ,{\text{sat}}}} \) :
-
Saturation coverage of hydrogen (mol kg−1)
- \( P_{{{\text{H}}_{ 2} }} \) :
-
Partial pressure of hydrogen (Pa)
- Q :
-
Flow rate (Nml min−1)
- R :
-
Ideal gas constant (J mol−1K−1)
- r p :
-
Radius of catalyst particle (m)
- S critical :
-
Value for criterion (–)
- T :
-
Temperature (K)
- t :
-
Time (s)
- T max :
-
Temperature at peak maximum (K)
- u :
-
Superficial velocity (m s−1)
- w cat :
-
Catalyst weight (g)
- X ref :
-
Reference value (mol–%)
- x :
-
Dimensionless reactor coordinate (–)
- z :
-
Dimensionless particle coordinate (–)
- β :
-
Heating rate (K min−1)
- ε b :
-
Bed porosity (–)
- ε p :
-
Particle porosity (–)
- γ :
-
Source term (mol m−3 s−1)
- ΘH :
-
Degree of coverage (of hydrogen) (–)
- ρ p :
-
Particle density (kg m−3)
- τ :
-
Residence time (s)
References
Niemantsverdriet JW (2007) Spectroscopy in catalysis. Wiley-VCH, Weinheim
Dumesic JA, Rudd DF, Aparicio LM, Rekoske JE, Treviño AA (1993) The microkinetics of heterogeneous catalysis. ACS Professional Reference Book, Washington DC
Hinrichsen O (2008) In: Ertl G, Knözinger H, Schüth F, Weitkamp J (eds) Handbook of heterogeneous catalysis, vol 3. Wiley-VCH, Weinheim
de Jong AM, Niemantsverdriet JW (1990) Surf Sci 233:355
Falconer JL, Schwarz JA (1983) Catal Rev Sci Eng 25:141
Miller JB, Siddique HR, Gates SM, Russell JN Jr, Yates JT Jr, Tully JC, Cardillo MJ (1987) Chem Phys 87:6725
Anger G, Winkler A, Rendulic KD (1989) Surf Sci 220:1
Genger T, Hinrichsen O, Muhler M (1999) Catal Lett 59:137
Muhler M, Nielsen LP, Törnqvist E, Clausen BS, Topsøe H (1992) Catal Lett 14:241
Tabatabaei J, Sakakini BH, Watson MJ, Waugh KC (1999) Catal Lett 59:143
Wilmer H, Genger T, Hinrichsen O (2003) J Catal 215:188
Wilmer H, Hinrichsen O (2002) Catal Lett 82:117
Xia X, Strunk J, Litvinov S, Muhler M (2007) J Phys Chem C 111:6000
Chinchen GC, Waugh KC, Whan DA (1986) Appl Catal 25:101
Pan WX, Cao R, Roberts DL, Griffin GL (1988) J Catal 114:440
Campbell JM, Campbell CT (1991) Surf Sci 259:1
Hayden BE, Lackey D, Schott J (1990) Surf Sci 239:119
Hayden BE, Lamont CLA (1989) Chem Phys Lett 160:331
Hayden BE, Lamont CLA (1989) Phys Rev Lett 63:1823
Chinchen GC, Hay CM, Vanderwell HD, Waugh KC (1987) J Catal 103:79
Scholten JJF, Konvalinka JA (1969) Trans Faraday Soc 65:2465
Kanervo JM, Keskitalo TJ, Slioor RI, Krause AOI (2006) J Catal 238:382
Genger T (2000) Mikrokinetische Untersuchungen zur Methanol-Synthese an Cu-Trägerkatalysatoren. PhD thesis, Ruhr-Universität Bochum
Löwe A (2001) Chemische Reaktionstechnik. Wiley-VCH, Weinheim
Hinrichsen O, Rosowski F, Muhler M, Ertl G (1997) Stud Surf Sci Catal 109:389
Balkenende AR, Geus JW, Kock AJHM, van der Pas RJ (1989) J Catal 115:365
Demmin RA, Gorte RJ (1984) J Catal 90:32
Forzatti P, Tronconi E, Lietti L (1988) In: Cheremisinoff NP (ed) Handbook of heat and mass transfer, vol 3. Gulf Publishing Co., Houston
Rieck JS, Bell AT (1984) J Catal 85:143
Emig G, Klemm E (2005) Technische Chemie. Springer, Berlin
Redhead PA (1962) Vacuum 12:203
Roberts DL, Griffin GL (1988) J Catal 110:117
Rasmussen PB, Taylor PA, Chorkendorff I (1992) Surf Sci 269(270):352
Taylor PA, Rasmussen PB, Ovesen CV, Stoltze P, Chorkendorff I (1992) Surf Sci 261:191
Ovesen CV, Stoltze P, Nørskov JK, Campbell CT (1992) J Catal 134:445
Rasmussen PB, Holmblad PM, Askgaard T, Ovesen CV, Stoltze P, Nørskov JK, Chorkendorff I (1994) Catal Lett 26:373
Askgaard TS, Nørskov JK, Ovesen CV, Stoltze P (1995) J Catal 156:229
Ovesen CV, Clausen BS, Hammershøi BS, Steffensen G, Askgaard T, Chorkendorff I, Nørskov JK, Rasmussen PB, Stoltze P, Taylor P (1996) J Catal 158:170
Ovesen CV, Clausen BS, Schiøtz J, Stoltze P, Topsøe H, Nørskov JK (1997) J Catal 168:133
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Fruitful discussions with Martin Muhler are gratefully acknowledged.
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Peter, M., Fendt, J., Wilmer, H. et al. Modeling of Temperature-Programmed Desorption (TPD) Flow Experiments from Cu/ZnO/Al2O3 Catalysts. Catal Lett 142, 547–556 (2012). https://doi.org/10.1007/s10562-012-0807-3
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DOI: https://doi.org/10.1007/s10562-012-0807-3