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Multi-Phase Systems
Published in Marc J. Assael, Geoffrey C. Maitland, Thomas Maskow, Urs von Stockar, William A. Wakeham, Stefan Will, Commonly Asked Questions in Thermodynamics, 2022
Marc J. Assael, Geoffrey C. Maitland, Thomas Maskow, Urs von Stockar, William A. Wakeham, Stefan Will
In practice, no real mixture is ideal, but mixtures formed from similar chemical substances do behave in large measure as ideal. When mixtures are not ideal, it is usual to discuss their behavior in terms of the excess molar functionsXmE defined by XmE=ΔmixXm−ΔmixXmid, so that the excess property is expressed with respect to the ideal mixture denoted by id and defined by Equations 4.113 to 4.116.
Vapor Liquid Equilibrium Properties
Published in Satish G. Kandlikar, Masahiro Shoji, Vijay K. Dhir, Handbook of Phase Change: Boiling and Condensation, 2019
An excess property (Scatchard and Raymond, 1938) of a mixture is defined as the difference between the actual mixture property and that which would be obtained under an assumption of an ideal mixture at the same temperature, pressure, and composition. Thus () Δmex=m−mid=(m−mcomp)−(mid−mcomp)=Δm−Δmid
Force-System Resultants and Equilibrium
Published in Richard C. Dorf, The Engineering Handbook, 2018
Excess property, ΘEXT,P,xi - The additional change in a thermodynamic property on forming a mixture from the pure components above that on forming an ideal mixture.
Influence of dispersive long-range interactions on transport and excess properties of simple mixtures
Published in Molecular Physics, 2023
From the results of the mixtures and the pure components at a given temperature and pressure, excess properties were computed as where stands for the internal energy , volume , or enthalpy at a given mole fraction and (i = 1, 2) indicates the corresponding pure component value. A given excess property in the mixture indicates the deviation from ideal mixing behaviour, i.e. for a perfectly ideal mixture, a given excess property is zero.
A survey of surface tension, molar volume and density for Sn–Ag–Cu–Bi–Sb quinary alloys as lead-free solders
Published in Philosophical Magazine, 2020
Rachida M’chaar, Abdelaziz Sabbar, Mouloud El Moudane, Noureddine Ouerfelli
The excess property of melts is defined as the difference between the true property and the corresponding value calculated from the ideal solution model.