A Power Law Equation of State for Actual Gases

CHEN Wen; LIANG Ying-jie

doi:10.21656/1000-0887.370140

Volume 38 Issue 2

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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

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

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A Power Law Equation of State for Actual Gases

doi: 10.21656/1000-0887.370140

State Key Laboratory of HydrologyWater Resources and Hydraulic Engineering(Hohai University), Nanjing 210098, P.R.China;College of Mechanics and Materials, Hohai University, Nanjing 211100, P.R.China

Received Date: 2016-05-06
Publish Date: 2017-02-15

Abstract

Abstract

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.
- actual gas,
- power law equation of state,
- virial coefficient,
- Onnes equation of state

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References(18)

References

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