Alternative interpretations of the mole and the ideal gas equation

Alternative interpretations of the mole and the ideal gas equation
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摩尔和理想气体方程的另一种解释

DOI:
10.1007/s00769-011-0822-x
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发表时间:
2011
影响因子:
0.9
通讯作者:
B. P. Leonard
B. P. Leonard
中科院分区:
工程技术4区
文献类型:
--
作者:
B. P. Leonard

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摩尔的基本概念源于克原子(或克分子)的概念:一摩尔的物质有一个相关的质量,以克为单位,数值上正好等于该物质的相对原子(或分子)质量。这意味着组成一摩尔的实体的具体数目,阿伏伽德罗数,必须正好等于克与道尔顿的质量比。关于摩尔的实际含义以及它如何影响理想气体方程的各种解释取决于给定物质的量n与相应的实体数N的关系。我们考虑三种选择:(1)传统的解释,其中n与N成正比,其中比例因子是(显然不太了解的)阿伏伽德罗常数的倒数;(2)一个更容易理解的替代解释,其中n等于N个实体;(3)一种解释,其中n和N都表示实体的数量,但以不同的方式表示。不管这些不同的解释,化学计量方程的形式(与总样品质量有关)和普适气体常数与玻尔兹曼常数之间的关系形式保持不变。
The fundamental concept of the mole stems from the idea of the gram-atom (or gram-molecule): that an amount of one mole of a given substance has an associated mass, in grams, numerically exactly equal to the relative atomic (or molecular) mass of the substance. This means that the particular number of entities comprising one mole, Avogadro’s number, must be exactly equal to the gram-to-dalton mass ratio. Various interpretations of what a mole actually means and how this affects the ideal gas equation depend on how the amount of a given substance,n, is related to the corresponding number of entities,N. We look at three alternatives: (1) the conventional interpretation in whichnis directly proportional toN, where the proportionality factor is the reciprocal of the (evidently poorly understood) Avogadro constant; (2) a more easily comprehended alternative in whichnis equal toNentities; and (3) an interpretation in whichnandNboth represent the number of entities, but expressed in different ways. Regardless of these different interpretations, the form of the stoichiometric equations (relatingN,nand the total sample mass) and the form of the relationship between the universal gas constant and the Boltzmann constant remain the same.
DOI: 10.1088/0026-1394/48/2/e01
发表时间: 2011-04
期刊: Metrologia
影响因子: 2.4
作者:
E. Massa;A. Nicolaus
通讯作者: E. Massa;A. Nicolaus