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Frontiers of Chemical Science and Engineering

ISSN 2095-0179

ISSN 2095-0187(Online)

CN 11-5981/TQ

Postal Subscription Code 80-969

2018 Impact Factor: 2.809

Front. Chem. Sci. Eng.    2016, Vol. 10 Issue (4) : 517-525    https://doi.org/10.1007/s11705-016-1585-z
RESEARCH ARTICLE
Reaction kinetics of CaC2 formation from powder and compressed feeds
Renxing Wang,Zhenyu Liu,Leiming Ji,Xiaojin Guo,Xi Lin,Junfei Wu,Qingya Liu()
State Key Laboratory of Chemical Resource Engineering, Beijing University of Chemical Technology, Beijing 100029, China
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Abstract

The production of CaC2 from coke/lime powders and compressed powder pellets are low cost and fast processes. A number of studies have reported the reaction kinetics of these reactions but they are still not well understood and the proposed kinetic models are not comparable due to differences in the reaction conditions. Therefore the reaction behavior of CaO/C powders (0.074 mm) and cubes (5 mm × 5 mm × (4.6–5.1) mm) compressed from a mixture of powders have been studied using thermal gravimetric analysis (TGA) at 1700– 1850 °C. Kinetic models were obtained from the TGA data using isoconversional and model-fitting methods. The reaction rates for the compressed feeds were lower than those for the powder feeds. This is due to the reduced surface area of the compressed samples which inhibits heat transfer from the surrounding environment (or the heating source) to the sample. The compression pressure had little influence on the reaction rate. The reaction kinetics of both the powder and the compressed feeds can be described by the contracting volume model f(α) = 3(1−α)2/3, where α is the conversion rate of reactant. The apparent activation energy and pre-exponential factor of the powder feed were estimated to 346–354 kJ?mol1 and 5.9 × 107 min1, respectively, whereas those of the compressed feed were 305–327 kJ?mol1 and 3.6 × 106 min1, respectively.

Keywords calcium carbide      kinetic model      activation energy      pre-exponential factor     
Corresponding Author(s): Qingya Liu   
Just Accepted Date: 26 August 2016   Online First Date: 13 September 2016    Issue Date: 29 November 2016
 Cite this article:   
Renxing Wang,Zhenyu Liu,Leiming Ji, et al. Reaction kinetics of CaC2 formation from powder and compressed feeds[J]. Front. Chem. Sci. Eng., 2016, 10(4): 517-525.
 URL:  
https://academic.hep.com.cn/fcse/EN/10.1007/s11705-016-1585-z
https://academic.hep.com.cn/fcse/EN/Y2016/V10/I4/517
Fig.1  Contraction ratio of cubes made at various compression pressures
Fig.2  Reaction behavior at 1800 °C of the powder feed and the cube feeds compressed under various pressures. (a) TG curves, (b) DTG curves
Fig.3  The curves of C conversion αvs. time at different temperatures. (a) the powder feed, (b) the compressed feed Cube-148
α Ea /(kJ?mol1)
Powder Cube-148
0.3 353 336
0.4 357 342
0.5 358 343
0.6 356 338
0.7 354 326
0.8 348 304
0.9 337 291
Average 352 327
Standard deviation 4.41 8.73
Tab.1  Apparent activation energies of the powder and Cube-148 feeds determined by the isoconversional method
Fig.4  The curves of ?lntvs. 1/T at different C conversions. (a) the powder feed, (b) the compressed feed Cube-148
Model f(α) g(α)
Reaction-order models
Zero-order (F0) 1 α
First-order (F1) 1−α −ln(1−α)
Second-order (F2) (1−α) 2 (1−α) –1−1
Geometric contraction models
Contracting area (R2) 2(1−α) 1/2 1−(1−α) 1/2
Contracting volume (R3) 3(1−α) 2/3 1−(1−α) 1/3
Diffusion models
1D diffusion (D1) 1/2α α2
2D diffusion (D2)
(ln(1α))1

(1α)ln(1α)+α
3D diffusion-Jander equation (D3)
3(1α)2/3/2(1(1α)1/3)

(1(1α)1/3)2
Ginstling-Brounshtein (D4)
32((1α)1/31)

1(2α/3)(1α)2/3
Tab.2  Selected reaction kinetic models [16,17]
Model Ea /(kJ?mol1) A /min1 F value
F0 342 8.17 × 107 72.67
F1 354 3.95 × 108 23.27
F2 416 8.25 × 1010 269.65
R2 346 7.38 × 107 5.13
R3 346 5.90 × 107 1.00
D1 347 8.48 × 107 23.19
D2 350 8.36 × 107 65.90
D3 360 6.21 × 107 159.08
D4 353 2.66 × 107 93.68
Tab.3  Arrhenius parameters of the powder feed determined by the model-fitting method
Model Ea /(kJ?mol-1) A /min-1 F value
F0 300 5.11 × 106 27.56
F1 308 1.87 × 107 4.51
F2 321 2.34 × 106 68.43
R2 303 4.36 × 106 3.70
R3 305 3.64 × 106 1.00
D1 305 5.38 × 106 4.26
D2 308 4.99 × 106 13.69
D3 312 2.78 × 106 37.48
D4 309 1.48 × 106 20.57
Tab.4  Arrhenius parameters of the compressed feed determined by the model-fitting method
Fig.5  Plots of conversion and reduced time of kinetic models and the iso-thermal experimental data. (a) the powder feed, (b) the compressed feed Cube-148. The experimental curve (red dash) is the average of the 1700, 1750, 1800 and 1850 °C data
Fig.6  Reaction behavior of cube samples of various sizes. (a) feed sizes of 5.0 mm, 2.5 mm, 1.0 mm and 0.4 mm, (b) feed sizes of 5 mm × 5 mm × 5 mm, 2.5 mm × 5 mm × 5 mm, 2.5 mm × 2.5 mm × 5 mm, and 2.5 mm × 2.5 mm × 2.5 mm
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