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The Application of Temperature-Pressure-Adsorption Equation in the Adsorption Thermodynamic of Coal Seam

Received: 28 October 2021    Accepted: 15 November 2021    Published: 23 November 2021
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Abstract

In order to study the adsorption thermodynamics of coal seam, a series of isothermal adsorption experimental data, in 30°C to 100°C temperature range, 0.0MPa to 32.0MPa pressure range, 0.0 cm3/g to 35 cm3/g adsorbed amounts range, of long flame coal, fat coal, lean coal and meager coal are transformed into the isosteric adsorption data through a temperature-Pressure-Adsorption equation. Both the small percentage values of the relative average error and the agreement between the measured points and the TPAE surfaces have proved the TPAE can accurately represent the series of isothermal adsorption experiments. The enthalpy of the gas adsorption process is calculated by the indefinite integral of Clausius-Clapeyron equation. The concept and calculation method of unit isosteric adsorption enthalpy (IAE) is presented. The adsorption process of the coal is an exothermic process because the lnP vs 1/T plot is a straight line with a negative slope. The phenomenon of unit IAE being decreased with the increasing of adsorption amount indicates that the energy in-homogeneity on the coal surface. Since the adsorption process of the coal is an exothermic process, adsorption always occurs first at higher energy and more active positions in order to release more energy and to make the system more stable. The higher rank coal has a larger unit IAE, and there must be a larger adsorption capacity.

Published in American Journal of Chemical Engineering (Volume 9, Issue 6)
DOI 10.11648/j.ajche.20210906.12
Page(s) 141-146
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Clausius-Clapeyron Equation, Temperature-Pressure-Adsorption Equation, Isosteric Adsorption Enthalpy, Unit IAE, Coal Rank

References
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[3] ZHANG Tianjun, XU Hongjie, LI Shugang, et al. The effect of temperature on the adsorbing capability of coal [J]. JOURNAL OF CHINA COAL SOCIETY, 2009, 34 (6): 802-805.
[4] FU Xuehai, QIN Yong, QUAN Biao, et al. Study of Physical and Numerical Simulations of Adsorption Methane Content on Middle rank Coal [J]. ACTA GEOLOGICA SINICA, 2008, 82 (10): 1368-1371.
[5] MA Dongmin, ZHANG Suian, LIN Yabing. Isothermal adsorption and desorption experiment of coal and experimental results accuracy fitting [J]. Journal of China Coal Society, 2011, 36 (3): 476-480.
[6] ZHANG Qun, SANG Shuxun. Characteristics of Coal Seam Adsorption and Mechanism of Gas Storage [M]. Science Publish House, 2013, page 94.
[7] YANG Feng, NING Zhengfu, LIU Huiqing, et al. Isothermal adsorption of methane on gas shales [J]. Special oil and gas reservoir, 2013, 20 (5): 133-136.
[8] LI Xiaorong, BU Lingbing, ZHANG Jianfeng. Calculation and analysis of adsorption heat of adsorbent [J]. Low temperature and specialty gases, 2014, 32 (3): 14-16.
[9] YIN Shuai, SHAN Yuming, ZHENG Lianhui, et al. Research of shale gas isothermal adsorption quantity and equal amount adsorption heat [J]. Science Technology and Engineering, 2013, 13 (29): 8572-8578.
[10] LI Dong, HAO Jingyuan. Temperature-pressure-permeability equation of gas separation in inorganic membrane and its application on adsorption [J]. Membrane Science and Technology, 2018, 38 (4): 127-131.
[11] LI Dong. Mathematical Analysis of Anthracite's Adsorption under Variable Temperature and Pressure [J]. China Coalbed Methane, 2017, 14 (2): 30-35.
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[13] LI Dong, ZHANG Xuemei, HAO Jingyuan, MA Qinghua. Feasibility study of coalbed methane content test based on adsorption approved [J]. Coal Science and Technology, 2018, 46 (9): 27-31.
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[15] ZHANG Xuemei, LI Dong. Prediction of adsorption capacity of coal bed methane under variable temperature and pressure [J]. Chemical Industry and Engineering Progress, 2018, 37 (S1): 63-66.
[16] LI Dong, HAO Jingyuan, ZHANG Xuemei, MA Qinghua. To Establish and Calculate the Regression Sample Set for Temperature-Pressure-Adsorption Equation—Taking Shaanxi Jiaoping Cuijiagou Coal as An Example [J]. Unconven-tional Oil & Gas, 2018, 5 (2): 46-49.
[17] Hao Jingyuan, Li Dong, Zhang Xuemei, et al. Study on Coal Methane Adsorption Behavior Under Variation Temperature and Pressure-Taking Xia-Yu-Kou Coal for Example [J]. International Journal of Oil, Gas and Coal Engineering. Vol. 6, No. 4, 2018, pp. 60-66.
Cite This Article
  • APA Style

    Li Dong, Zhang Xuemei, Hao Jingyuan, Ma Qinghua. (2021). The Application of Temperature-Pressure-Adsorption Equation in the Adsorption Thermodynamic of Coal Seam. American Journal of Chemical Engineering, 9(6), 141-146. https://doi.org/10.11648/j.ajche.20210906.12

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    ACS Style

    Li Dong; Zhang Xuemei; Hao Jingyuan; Ma Qinghua. The Application of Temperature-Pressure-Adsorption Equation in the Adsorption Thermodynamic of Coal Seam. Am. J. Chem. Eng. 2021, 9(6), 141-146. doi: 10.11648/j.ajche.20210906.12

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    AMA Style

    Li Dong, Zhang Xuemei, Hao Jingyuan, Ma Qinghua. The Application of Temperature-Pressure-Adsorption Equation in the Adsorption Thermodynamic of Coal Seam. Am J Chem Eng. 2021;9(6):141-146. doi: 10.11648/j.ajche.20210906.12

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  • @article{10.11648/j.ajche.20210906.12,
      author = {Li Dong and Zhang Xuemei and Hao Jingyuan and Ma Qinghua},
      title = {The Application of Temperature-Pressure-Adsorption Equation in the Adsorption Thermodynamic of Coal Seam},
      journal = {American Journal of Chemical Engineering},
      volume = {9},
      number = {6},
      pages = {141-146},
      doi = {10.11648/j.ajche.20210906.12},
      url = {https://doi.org/10.11648/j.ajche.20210906.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajche.20210906.12},
      abstract = {In order to study the adsorption thermodynamics of coal seam, a series of isothermal adsorption experimental data, in 30°C to 100°C temperature range, 0.0MPa to 32.0MPa pressure range, 0.0 cm3/g to 35 cm3/g adsorbed amounts range, of long flame coal, fat coal, lean coal and meager coal are transformed into the isosteric adsorption data through a temperature-Pressure-Adsorption equation. Both the small percentage values of the relative average error and the agreement between the measured points and the TPAE surfaces have proved the TPAE can accurately represent the series of isothermal adsorption experiments. The enthalpy of the gas adsorption process is calculated by the indefinite integral of Clausius-Clapeyron equation. The concept and calculation method of unit isosteric adsorption enthalpy (IAE) is presented. The adsorption process of the coal is an exothermic process because the lnP vs 1/T plot is a straight line with a negative slope. The phenomenon of unit IAE being decreased with the increasing of adsorption amount indicates that the energy in-homogeneity on the coal surface. Since the adsorption process of the coal is an exothermic process, adsorption always occurs first at higher energy and more active positions in order to release more energy and to make the system more stable. The higher rank coal has a larger unit IAE, and there must be a larger adsorption capacity.},
     year = {2021}
    }
    

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  • TY  - JOUR
    T1  - The Application of Temperature-Pressure-Adsorption Equation in the Adsorption Thermodynamic of Coal Seam
    AU  - Li Dong
    AU  - Zhang Xuemei
    AU  - Hao Jingyuan
    AU  - Ma Qinghua
    Y1  - 2021/11/23
    PY  - 2021
    N1  - https://doi.org/10.11648/j.ajche.20210906.12
    DO  - 10.11648/j.ajche.20210906.12
    T2  - American Journal of Chemical Engineering
    JF  - American Journal of Chemical Engineering
    JO  - American Journal of Chemical Engineering
    SP  - 141
    EP  - 146
    PB  - Science Publishing Group
    SN  - 2330-8613
    UR  - https://doi.org/10.11648/j.ajche.20210906.12
    AB  - In order to study the adsorption thermodynamics of coal seam, a series of isothermal adsorption experimental data, in 30°C to 100°C temperature range, 0.0MPa to 32.0MPa pressure range, 0.0 cm3/g to 35 cm3/g adsorbed amounts range, of long flame coal, fat coal, lean coal and meager coal are transformed into the isosteric adsorption data through a temperature-Pressure-Adsorption equation. Both the small percentage values of the relative average error and the agreement between the measured points and the TPAE surfaces have proved the TPAE can accurately represent the series of isothermal adsorption experiments. The enthalpy of the gas adsorption process is calculated by the indefinite integral of Clausius-Clapeyron equation. The concept and calculation method of unit isosteric adsorption enthalpy (IAE) is presented. The adsorption process of the coal is an exothermic process because the lnP vs 1/T plot is a straight line with a negative slope. The phenomenon of unit IAE being decreased with the increasing of adsorption amount indicates that the energy in-homogeneity on the coal surface. Since the adsorption process of the coal is an exothermic process, adsorption always occurs first at higher energy and more active positions in order to release more energy and to make the system more stable. The higher rank coal has a larger unit IAE, and there must be a larger adsorption capacity.
    VL  - 9
    IS  - 6
    ER  - 

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Author Information
  • Energy & Chemical Engineering Research Center, Xi’an Siyuan University, Xi’an, China

  • Energy & Chemical Engineering Research Center, Xi’an Siyuan University, Xi’an, China

  • Energy & Chemical Engineering Research Center, Xi’an Siyuan University, Xi’an, China

  • Energy & Chemical Engineering Research Center, Xi’an Siyuan University, Xi’an, China

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