The Virial Coefficient of Argon for Pressure in the Megapascal Region
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摘要: 设计了用于测量兆帕级压强范围内气体等温状态方程的实验装置，对300 K、0~60 MPa条件下氩气密度随压强的变化进行了精确测量。通过拟合实验数据，得到了氩气的第二和第三维里系数。由实验气体氩的维里系数，确定了其林纳德-琼斯势(L-J势)参数。采用该势参数对不同温度下氩气的状态方程进行了拓宽计算，并与其它实验和经验状态方程进行了比较分析，确定其适用范围。Abstract: Using a self-designed measuring device, the argon density has been measured at 300 K for pressure lower than 60 MPa.The second and third virial coefficients are obtained by fitting the experimental data, and the new parameters of Lennard-Jones potential are derived from the experimental virial coefficients.Furthermore, the temperature-dependent virial coefficients are calculated by these new potential parameters.The calculated densities from these virial equations are compared with other experiments and empirical equation of states for determining the application range of the present equation.
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Key words:
- isothermal equation of state /
- argon /
- virial coefficient /
- density measurement
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图 1 由不同状态方程得到的氩气密度计算结果
Figure 1. The calculated densities of argon by various equations of state
图 2 气体等温状态方程测量实验装置示意图
Figure 2. Schematic of gas isothermal equation of state measurement device
图 3 本实验数据与几种状态方程计算结果的比较
Figure 3. Comparison of present experimental data with calculated results by various equations of state
图 4(a) 氩气密度的计算结果与实验结果的比较
Figure 4(a). Comparison of calculated and experimental argon density
图 4(b) 计算密度与实验测量结果相对误差的比较
Figure 4(b). Comparison of the relative error of calculated densities and experimental data
图 5 不同势参数描述的相互作用势的比较
Figure 5. Comparison of interaction potential with different potential parameters
表 1 氩气密度测量数据
Table 1. Experimental data of argon density
T/(K) p/(MPa) ρ/(g/cm3) 298±0.5 5.15±0.01 0.086 2±0.000 9 299±0.5 10.52±0.01 0.180 5±0.001 8 299±0.5 20.47±0.01 0.348 1±0.003 4 298±0.5 30.60±0.01 0.480 9±0.002 4 299±0.5 40.35±0.01 0.592 3±0.003 0 300±0.5 55.00±0.01 0.720 3±0.003 6 
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表 2 由本实验势参数计算得到的不同温度下氩气的维里系数
Table 2. The temperature-dependent virial coefficients of argon computed by present potential parameters
T/(K) B/(cm3·mol-1) C/(cm6·mol-2) 200 -68.5 2 470 300 -23.2 2 014 400 -1.6 1 789 500 10.4 1 696 600 17.9 1 647 700 22.9 1 613 800 26.5 1 585
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