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Densities of hydrocarbons in their saturated vapor and liquid states
Author(s) -
Bradford Michael L.,
Thodos George
Publication year - 1968
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450460413
Subject(s) - vapor–liquid equilibrium , thermodynamics , range (aeronautics) , exponent , absolute deviation , chemistry , vapor pressure , atmospheric temperature range , analytical chemistry (journal) , materials science , mathematics , physics , organic chemistry , statistics , linguistics , philosophy , composite material
The Sum and differences of the saturated vapor and liquid densities of 23 hydrocarbons were used to develop the following reduced density relationships for these saturated states\documentclass{article}\pagestyle{empty}\begin{document}$$ \rho _{R_l } = 1 + \beta \left( {1 - T_R } \right) + \gamma \left( {1 - T_R } \right)^2 + \sigma \left( {1 - T_R } \right)^n ...\left( a \right) $$\end{document}\documentclass{article}\pagestyle{empty}\begin{document}$$ \rho _{R_v } = 1 + \beta \left( {1 - T_R } \right) + \gamma \left( {1 - T_R } \right)^2 + \delta \left( {1 - T_R } \right)^n ...\left( b \right) $$\end{document}The hydrocarbons considered included n‐parafins, olefins, diolefins, naphthenes, and aromatics. Constants β, γ, and δ, and exponent n were found to be dependent on,. Equation (a) can reproduce liquid densities with an overall average deviation of 1.1 % over the entire temperature range, while Equation (b) was found to apply only in the interval 0.900 ≤ T R ≤ 1.00 with an average deviation of 2.2%. For temperatures of T k < 0.90, the saturated vapor density was found to depend on temperature as follows\documentclass{article}\pagestyle{empty}\begin{document}$$ \rho _{R_v } = ke^{ - \frac{m}{T}} R\left( c \right) $$\end{document}where k and m were also found to be Z c dependent. Values calculated using Equation (c), when compared with 81 available experimental densities for 12 hydrocarbons, produced an average deviation of 3.0%.