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TROUTON’S RULE mysteries: an attempt to a better understanding
The Journal of Chemical Thermodynamics ( IF 2.6 ) Pub Date : 2021-01-01 , DOI: 10.1016/j.jct.2020.106256
Christos Krimizis-Tsatsoulis

Abstract In this paper we try to survey in depth a well-known “Rule” in the discipline of Thermodynamics the “Trouton’s Rule”. This empirical Rule is very useful to get a quick estimate to the heat of vaporization of a compound, but in here we think it is challenging to try to understand why this happens. First, why the vaporization entropy is almost constant for clusters of homologous compounds and second to try to estimate this value just with the help of Classical Thermodynamics. There are many empirical or semiempirical attempts to estimate the heat of vaporization with better success then the straight “Trouton’s Rule”. For instance, the “Everett” equation although provides in some cases better fit, fails on the polar compounds and at extremely low temperature boiling gasses. On the other hand, there is the famous “Clausius-Clapeyron” equation that comes directly from the heart of thermodynamics but requires more data than the previous ones. Practically requires two pairs of pressure to temperature values with the highest possible precision to provide the heat of vaporization but as we will see later the fit to the experimental values unexpectedly fails. In this paper we tried to approach the problem in a theoretical way in order not only to get a deeper understanding but also to a better tuning of the final formulae. We propose here a correction to the “Clausius-Clapeyron” equation that gives excellent fit with either Polar or non-Polar compounds. Consequently, a method to measure the “Molecular Weight” of a substance is proposed. Moreover, we propose some equations (a modification to the “Everett” equation and a theoretical explanation) to calculate the heat o vaporization to polar and non-polar compounds.

中文翻译:

特劳顿法则之谜:试图更好地理解

摘要 本文试图深入考察热力学学科中一个著名的“规则”——“特劳顿规则”。这个经验法则对于快速估计化合物的汽化热非常有用,但在这里我们认为尝试理解为什么会发生这种情况是具有挑战性的。首先,为什么汽化熵对于同源化合物簇几乎是恒定的,其次尝试仅借助经典热力学来估计该值。有许多经验或半经验的尝试来估计汽化热,比直接的“特劳顿法则”更成功。例如,“Everett”方程虽然在某些情况下提供了更好的拟合,但在极性化合物和极低温度沸腾气体上失败。另一方面,有著名的“克劳修斯-克拉珀龙”方程,它直接来自热力学的核心,但需要比以前更多的数据。实际上需要两对具有最高可能精度的压力到温度值来提供汽化热,但正如我们稍后将看到的,与实验值的拟合出乎意料地失败。在本文中,我们试图以理论的方式来解决这个问题,不仅是为了获得更深入的理解,而且是为了更好地调整最终公式。我们在此建议对“Clausius-Clapeyron”方程进行修正,该方程可与极性或非极性化合物完美匹配。因此,提出了一种测量物质“分子量”的方法。而且,
更新日期:2021-01-01
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