CHEN Wen, LIANG Ying-jie. A Power Law Equation of State for Actual Gases[J]. Applied Mathematics and Mechanics, 2017, 38(2): 200-205. doi: 10.21656/1000-0887.370140
Citation: CHEN Wen, LIANG Ying-jie. A Power Law Equation of State for Actual Gases[J]. Applied Mathematics and Mechanics, 2017, 38(2): 200-205. doi: 10.21656/1000-0887.370140

A Power Law Equation of State for Actual Gases

doi: 10.21656/1000-0887.370140
  • Received Date: 2016-05-06
  • Publish Date: 2017-02-15
  • A power law equation of state for actual gases was proposed with fewer parameters compared with the Onnes equation of state. The new model requires only two parameters, of which the order of the power function characterizes the deviation extent of actual gas from the ideal gas. The gas whose behavior obeys the power law equation of state is called the power law gas. The power law equation of state was applied to describe the behaviors of nitrogen (N2) and tetrafluoromethane (CF4) gases. Compared with the Onnes equation, the proposed power law equation can accurately capture the power law relation between the gas pressure and volume in a simpler fashion with fewer parameters. The results show that the power law order tends to be smaller under a lower temperature, reflecting a larger deviation of the actual gas state from that of the ideal gas.
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  • [1]
    Tykodi R J, Hummel E P. On the equation of state for gases[J]. American Journal of Physics,1973,41(3): 340-343.
    董赛鹰, 芶清泉, 李萍, 等. 高温高压气体的状态方程与热力学性质[J]. 原子与分子物理学报, 2005,22(1): 101-104.(DONG Sai-ying, GOU Qing-quan, LI Ping, et al. The equation of state and thermodynamic properties of gas at high temperatures and pressures[J]. Journal of Atomic and Molecular Physics,2005,22(1): 101-104.(in Chinese))
    Bottin B. Thermodynamic properties of arbitrary perfect gas mixtures at low pressures and high temperatures[J]. Progress in Aerospace Sciences,2000,36(36): 547-579.
    戴伟, 李志浩, 李兴龙, 等. 全称压力下气体状态方程新模型[J]. 湖北第二师范学院学报, 2011,28 (8): 10-12.(DAI Wei, LI Zhi-hao, LI Xing-long, et al. A new equation of state for all pressure[J]. Journal of Hubei University of Education,2011,28 (8): 10-12.(in Chinese))
    Yokozeki A, Shiflett M B. Gas solubilities in ionic liquids using a generic van der Waals equation of state[J]. Journal of Supercritical Fluids,2010,55(2): 846-851.
    Kurita N, Sekino H. Ab initio and DFT studies for accurate description of van der Waals interaction between rare-gas atoms[J]. Chemical Physics Letters,2001,348(1/2): 139-146.
    Martínez S, Pennini F, Plastino A. Van der Waals equation in a nonextensive scenario[J]. Physics Letters A,2001,282(4): 263-268.
    Czepirski L, Jagiello J. Virial-type thermal equation of gas-solid adsorption[J]. Chemical Engineering Science,1989,44(4): 797-801.
    胡颉, 佘守宪. 范德瓦耳斯气液状态方程纵横谈[J]. 大学物理, 2005,24 (10): 15-20.(HU Jie, SHE Shou-xian. General discussion on van der Waals gas-liquid state equation[J]. College Physics,2005,24(10): 15-20.(in Chinese))
    李斯特, 张明元. 应用三次维里型状态方程确定实际气体导出参数:焓与熵值的新关联式[J]. 工程热物理学报, 1989,10(4): 349-352.(LI Si-te, ZHANG Ming-yuan. The new correlations for determining two derivative parameters-enthalpy and entropy of real gases by using a new cubic reduced virial equation of state[J]. Journal of Engineering Thermophysics,1989,10(4): 349-352.(in Chinese))
    LIANG Ying-jie, CHEN Wen, Magin R L. Connecting complexity with spectral entropy using the Laplace transformed solution to the fractional diffusion equation[J]. Physica A: Statistical Mechanics and Its Applications,2016,453: 327-335.
    CHEN Wen, ZHANG Xiao-di, Koroak D. Investigation on fractional and fractal derivative relaxation-oscillation models[J]. International Journal of Nonlinear Sciences & Numerical Simulation,2010,11(1): 3-10.
    CHEN Wen, LIANG Ying-jie, HU Shuai, et al. Fractional derivative anomalous diffusion equation modeling prime number distribution[J]. Fractional Calculus & Applied Analysis,2015,18(3): 789-798.
    中国大百科全书总编辑委员会. 中国大百科全书(物理学)[M]. 第2版. 北京: 中国大百科全书出版社, 2009: 419-420.(China Encyclopedia Editor Committee. Encyclopedia of China (Physics) [M]. 2nd ed. Beijing: Encyclopedia of China Publishing Houses, 2009: 419-420.(in Chinese))
    聂跃光. 实际气体状态方程的讨论[J]. 川北教育学院院刊, 1987(1): 20-26.(NIE Yue-guang. On equation of state for gases[J]. Journal of Sichuan Vocational and Technical College,1987(1): 20-26.(in Chinese))
    Sandler S I. Equations of state for phase equilibrium computations[J]. Supercritical Fluids: Fundamentals for Application,1994,273: 147-175.
    Hurly J J, Schmidt J W, Gillis K A. Virial equation of state and ideal-gas heat capacities of pentafluoro-dimethyl ether[J]. International Journal of Thermophysics,1996,18(1): 137-159.
    Mountain R D, Zwanzig R. Anomalous transport properties of a van der Waals gas[J]. Journal of Chemical Physics,1968,48(4): 1451-1458.
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      沈阳化工大学材料科学与工程学院 沈阳 110142

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