M-H Eos的物理意义

The physical meanings of M-H Equation of state

从具有分子体积的准理想气体模型出发,利用巨正则分布和Sutherland位能函数,通过求解virial系数的解析解,推导了M-HEos的理论形式并应用实际计算,证明了M-HEos与其理论形式的一致性.研究了virialEos、M-HEos和其理论形式三者的关系,得出了M-HEos与virialEos具有相同的理论基础和物理意义的结论.作为验证,用M-HEos与其理论形式分别求解第二virial系数和流体分子的微观参数,得到的数值与实验数据符合较好.

The MartinHou equation of state (1955) can be theoretically derived on the basis of Statistical Mechanics. The CO2, H2O, N2, C3H6 and C3H8, pressures calculated with the theoretical form of the MartinHou equation derived on the basis of Statistical Mechanics, were compared with the values obtained by using the MH equation of state. With modification of the bulk effect and further approximation, the virial equation of state can be turned into the MartinHou equation of state. From the derivation we can see that the MartinHou equation of state has the same theoretical basis as the virial equation of state. As the interaction between molecules is very complex, the MartinHou equation of state using the thermodynamic relations and experimental data to simplify the equation, yields good result. In order to verify the conclusion, some microcosmic parameters, σ,∈/K, and second virial coefficients of some hydromolecules were valuated by MH Eos. The results thus calculated agreed with those determined experimentally.