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Invariant expressions for linear complex mechanisms: Single-step substance case
Chemical Engineering Science ( IF 4.7 ) Pub Date : 2020-06-01 , DOI: 10.1016/j.ces.2020.115587
D. Branco , G.S. Yablonsky , G.B. Marin , D. Constales

Abstract We generalize the results on invariances found for linear two-step mechanisms within our joint kinetics approach. A general invariant expression for any linear complex mechanism with at least two single-step substances is obtained, from corrected ratios of the concentration profiles of single-step substances. The invariant expression consist of the product of three factors of different nature: • A non-thermodynamic factor: the ratio of kinetic coefficients of different chemical reactions. • A thermodynamic factor: the pure or apparent equilibrium constant of a sub-mechanism within the complex mechanism. • An “experimental” factor, defined by the initial conditions of the two experiments needed to determine the invariant expression. The relationship between the structure of the linear complex mechanism and the peculiarities of the invariant expression obtained are presented. A mathematical demonstration of the invariant expression is given. The demonstration is based on an invariant expression from reciprocal experiments, related to Onsager’s reciprocal relations.

中文翻译:

线性复杂机制的不变表达式:单步实体案例

摘要 我们概括了在我们的联合动力学方法中为线性两步机制发现的不变性的结果。从单步物质浓度分布的校正比率获得具有至少两种单步物质的任何线性复杂机制的一般不变表达式。不变表达式由三个不同性质的因素的乘积组成: • 非热力学因素:不同化学反应的动力学系数之比。• 热力学因子:复杂机制中子机制的纯平衡常数或表观平衡常数。• “实验”因子,由确定不变表达式所需的两个实验的初始条件定义。介绍了线性复杂机构的结构与所获得的不变量表达式的特性之间的关系。给出了不变表达式的数学演示。该演示基于互惠实验的不变表达式,与昂萨格的互惠关系有关。
更新日期:2020-06-01
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