非理想气体的绝热递减率：分子相互作用和振动的作用
Adiabatic lapse rate of non-ideal gases: The role of molecular interactions and vibrations
摘要：
本文提出了一个与压缩因子和绝热曲线有关的干绝热递减率公式。然后，考虑到气体的非理想行为，我们考虑分子，可以移动，旋转，振动和分子相互作用的信息，通过维里系数。我们推导出维里膨胀形式的压缩因子和任意阶维里膨胀下的绝热曲线。有了这些信息，为了说明上述公式，我们写出了理想气体的直减率，以及第二和第三系数情况下的维里膨胀。为了弄清楚维里系数和振动在不同大气条件下的作用，我们计算了地球、火星、金星、泰坦和系外行星Gl 581d的直减率。此外，对于每一个，我们考虑维里展开中的三种模型：范德华，方阱和硬球。此外，在可能的情况下，我们将我们的结果与实验数据进行比较。最后，我们注意到，对于金星和土卫六，这是在极端的压力或温度条件下，我们的计算是在很好的协议与观测值，在某些情况下。
英文摘要：
We report a formula for the dry adiabatic lapse rate that depends on the compressibility factor and the adiabatic curves. Then, to take into account the non-ideal behavior of the gases, we consider molecules that can move, rotate, and vibrate and the information of molecular interactions through the virial coefficients. We deduce the compressibility factor in its virial expansion form and the adiabatic curves within the virial expansion up to any order. With this information and to illustrate the mentioned formula, we write the lapse rate for the ideal gas, and the virial expansion up to the second and third coefficient cases. To figure out the role of the virial coefficients and vibrations, under different atmospheric conditions, we calculate the lapse rate for Earth, Mars, Venus, Titan, and the exoplanet Gl 581d. Furthermore, for each one we consider three models in the virial expansion: van der Waals, square-well, and hard-sphere. Also, when possible, we compare our results to the experimental data. Finally, we remark that for Venus and Titan, which are under extreme conditions of pressure or temperature, our calculations are in good agreement with the observed values, in some instances.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
