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The volume expansion factor for liquid-solid transition at the triple point

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Abstract

The volume expansion factor associated with the liquid-solid transition at the triple point, ε = vι t /vs t,is a fluid characterizing parameter that finds utility in the prediction of the transport properties of substances in their dense gaseous and saturated and compressed liquid states. Values of this factor were independently established from the generalized treatment of self-diffusivity, viscosity and thermal conductivity involving information relating to these transport properties for monatomic, diatomic, and polyatomic substances and hydrocarbons of all types of molecular complexity.

These values, derived from each of these transport properties, were found to be consistent and in agreement with each other and corresponding experimental measurements. This factor has been applied to the development of a relationship capable for its generalized prediction using information relating to Zono the critical compressibility factor and TRT the reduced temperature at the triple point.

Values of e obtained from limited experimental measurements were compared with values predicted by this method and were found to be in close agreement with corresponding values resulting from experimental measurements. Therefore, this development can be made to apply in a generalized manner to all types of substances.

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Abbreviations

g:

global variable

k:

thermal conductivity, cal/sec cm K

k*:

thermal conductivity of dilute gas, cal/sec cm K

M:

molecular weight

m,n,p,q:

exponents, equation (7)

PC :

critical pressure, atm

R:

gas constant

T:

temperature, K

TC :

critical temperature, K

Tt :

triple point temperature, K

TRt :

reduced temperature at triple point Tt/Tc

vC :

critical volume, cm3/g-mole

vlt :

liquid molar volume at triple point, cm3/g-mole

vsl :

solid molar volume at triple point, cm3/g-mole

x:

density-temperature variable

ZC :

critical compressibility factor, Pcvc/ RTc

ZRA :

constant for modified Rackett equation

α,Β,γ :

coefficients, equation (7)

γt :

viscosity parameter, v 2/3lt /M1/2T 1/2t

δt :

self-diffusivity parameter, M1/2/T 1/2t v 1/3lt

D :

self-diffusivity, cm2/sec

ε :

volume expansion factor,

ζ:

fluid characterizing parameter

λf :

heat of fusion

Μ :

viscosity, poises

Μ* :

viscosity of dilute gas, poises

ρ :

density, g/cm3

ρlt :

liquid density at triple point, g/cm3

Τ:

normalized temperature T/Tt

ψt :

thermal conductivity parameter, M1/2v 2/3lt 7T 1/2t

Ω :

normalized density ρ/ρlt

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Authors and Affiliations

  1. Department of Chemical Engineering, Korea Institute of Technology, 300-31, Taejon, Korea

    Huen Lee

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  1. Huen Lee
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Lee, H. The volume expansion factor for liquid-solid transition at the triple point. Korean J. Chem. Eng. 4, 9–14 (1987). https://doi.org/10.1007/BF02698093

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  • DOI: https://doi.org/10.1007/BF02698093

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