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 nonideal 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.

中文翻译：

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非理想气体的绝热消失率：分子相互作用和振动的作用

我们报告了取决于绝热系数和绝热曲线的绝热干燥失效率的公式。然后，考虑到气体的非理想行为，我们考虑了可以移动，旋转和振动的分子以及通过维里系数的分子相互作用信息。我们推导出其病毒膨胀形式的可压缩性因子以及病毒膨胀内的绝热曲线直至任何阶数。利用这些信息并说明上述公式，我们写出了理想气体的流失率，以及达到第二和第三系数情况的病毒膨胀。为了弄清维里系数和振动的作用，在不同的大气条件下，我们计算了地球，火星，金星，泰坦和系外行星Gl 581d的消失率。此外，对于每个模型，我们都考虑了三种在病毒式扩张中的模型：范德华斯，方孔和硬球。另外，在可能的情况下，我们会将结果与实验数据进行比较。最后，我们指出，对于处于极端压力或温度条件下的金星和土卫六，我们的计算在某些情况下与观测值非常吻合。