Interaction model for critical temperatures of multicomponent mixtures of methane‐free aliphatic hydrocarbons

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Abstract
A mathematical treatment based on an interaction model has yielded an expression capable of establishing the critical temperatures of multicomponent aliphatic hydrocarbon mixtures. This model postulates an infinite‐series expansion for the difference between the actual critical temperature and its corresponding pseudocritical value. For methane‐free aliphatic hydrocarbon mixtures, this infinite series has been truncated beyond the third‐order interactions. Explicit relationships are given for the second‐order interaction coefficientsAijandBijas a function of the binary‐system parameter τijand the third‐order interaction coefficient βijkas a function of χijk, the ternary‐system parameter.This interaction model has been applied to one hundred‐sixteen different compositions of binary, ternary, quaternary, and quinary aliphatic hydrocarbon systems to produce an overall average deviation of 0.35%. Owing to the different interaction behavior of methane, systems containing methane have not been included in this study.