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Thermodynamic analysis of nanoparticle size effect on kinetics in Fischer–Tropsch synthesis by lanthanum promoted iron catalyst

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Abstract

The kinetic parameters of the Fischer–Tropsch synthesis (FTS) on iron catalyst are analyzed by size-dependent thermodynamic method. A Langmuir–Hinshelwood kinetic equation is considered for evaluation of catalytic activity of lanthanum promoted iron catalyst. A series of unsupported iron catalysts with different particle sizes were prepared via microemulsion method. The experimental results showed that catalyst activity pass from a maximum value by increasing the iron particle size. Also, data presented that iron particle size has considerable effects on adsorption parameters and FTS rates. The ratio of surface tension (σ) to nanoparticle radius (r) is important in FTS reaction on iron catalyst. Finally, the results showed that by increasing of iron particle size from 18 to 45 nm the activation energies of catalysts and heats of adsorption of catalysts as two main parameters of FTS reaction increased from 89 to 114 kJ/mol and from 51 to 71 kJ/mol, respectively.

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Abbreviations

FTS:

Fischer Tropsch synthesis

rFTS :

Rate of FTS reaction

k:

Rate constant of FTS reaction

b:

Adsorption parameter

r:

Catalyst particle size

PH2 :

Partial pressure of hydrogen

PH2O :

Partial pressure of water

σ:

Surface tension of solid catalyst

Ea :

Activation energy for the overall catalytic process

ΔH:

Adsorption enthalpy

k∞ :

Size independent FTS reaction rate constant

η:

A parameter which is equal to η = 2σVM/RT

b∞ :

Size independent adsorption parameter

χ:

Brønsted–Polanyi parameter, 0 < χ < 1

δ∞ :

Absolute temperature independent surface tension energies

ΔΗ∞ :

Size independent adsorption enthalpy

Ea∞ :

Size independent activation energy

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Acknowledgments

Financial support of the Ferdowsi University of Mashhad, Iran (2/26310-11/2/92) is gratefully acknowledged.

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Authors and Affiliations

  1. Department of Chemistry, Ferdowsi University of Mashhad, P.O.Box: 9177948974, Mashhad, Iran

    Ali Nakhaei Pour & Mohammad Reza Housaindokht

  2. Department of Chemical Engineering, Urmia University of Technology, P.O.Box: 9318757166, Urmia, Iran

    Alireza Behroozsarand

  3. Gas Research Department, Research Institute of Petroleum Industry, West Blvd, Azadi Sport Complex, Tehran, Iran

    Mohammad Ali Khodagholi

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  1. Ali Nakhaei Pour
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Correspondence to Ali Nakhaei Pour.

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Nakhaei Pour, A., Housaindokht, M.R., Behroozsarand, A. et al. Thermodynamic analysis of nanoparticle size effect on kinetics in Fischer–Tropsch synthesis by lanthanum promoted iron catalyst. Appl. Phys. A 116, 789–797 (2014). https://doi.org/10.1007/s00339-013-8156-7

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