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The Prediction of Surface Tension and Thermodynamic Analysis of the Surface in Mixtures of Cryogenic Liquids. J SOLUTION CHEM 2018. [DOI: 10.1007/s10953-018-0718-z] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Zhao M, Li Y, Sun S. Analysis and optimization of two-column cryogenic process for argon recovery from hydrogen-depleted ammonia purge gas. Chem Eng Res Des 2011. [DOI: 10.1016/j.cherd.2010.11.014] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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AZEVEDO EDMUNDOGOMESDE, CALADO JORGECG. A NEW CORRELATION FOR THE PARAMETERS IN A VAN DER WAALS-TYPE EQUATION OF STATE FOR SIMPLE LIQUIDS. CHEM ENG COMMUN 2007. [DOI: 10.1080/00986449008940693] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- EDMUNDO GOMES DE AZEVEDO
- a Centro de Quimica Estrutural Complexo 1 Instituteo Superior Técnico , Lisboa , 1096 , Portugal
| | - JORGE C. G. CALADO
- a Centro de Quimica Estrutural Complexo 1 Instituteo Superior Técnico , Lisboa , 1096 , Portugal
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A method for predicting the variation with temperature of the solubilities of gases in non-polar liquids. ACTA ACUST UNITED AC 1997. [DOI: 10.1098/rspa.1971.0110] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Abstract
An expression for the chemical potential due to Kirkwood & Boggs is adapted to give rigorous expressions for Henry’s coefficient (
H
) for the solubility of a gas in a liquid and for the temperature dependence of this coefficient, in terms of radial distribution functions (
g
) and a molecular coupling parameter. If the solute-solvent and solvent-solvent molecular interactions are similar in strength the expression for
T
dln
H
/d
T
reduces to
T
dln
H
/ d
T
=
L
/
RT
+ (1+
αT
) In
P
° /
H
(i) where
L, a
and
p
° are the molar latent heat, the coefficient of thermal expansion and the vapour pressure of the pure solvent. Equation (i) is closely obeyed by the simple systems Ar-CH
4
, Ar-O
2
and Ar—N
2
, though it becomes markedly less accurate when applied to the solubilities of common gases in liquids. This is to be expected since the solute-solvent and solvent—solvent intermolecular force fields are then very different. By assuming these force fields to be of the Lennard-Jones type and making simplifying assumptions relating
g
for the solute in the solvent to
g
for the pure solvent, the equation
T
dln
H
/ d
T
=
L
/
RT
+ (1 +
αT
) In
P
° /
H
-
Q
0
(1 -
ε
°
αβ
σ
3
αβ
/
ε
°
ββ
σ
3
ββ
(ii) is then obtained in which
Q
0
=
L
/
RT
- 1 +
αT
(1 +
αT
) In
P
°
V
β
/
RT
, where
V
β
is the molar volume of the solvent,
ε
°
ββ
,
σ
ββ
,
ε
°
αβ
and
σ
αβ
are the Lennard-Jones force constants for the solvent-solvent and solute—solvent interactions respectively. This equation is found to predict
T
dln
H
/ d
T
for gases dissolved in common liquids with sufficient accuracy to be of practical value The equation
T
dln
H
/ d
T
= 2-
αT
+ (1 +
αT
) In
RT
/
V
β
H
, valid at solvent reduced temperatures between about 0.5 and 0.65, is found in practice to provide a useful approximation to (ii) both for simple systems and for the permanent gases dissolved in common solvents. Expression (i) is shown to be related to an expression previously developed by Longuet-Higgins.
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Streett WB, Staveley LAK. Calculation on a Corresponding States Basis of the Volume Change on Mixing Simple Liquids. J Chem Phys 1967. [DOI: 10.1063/1.1703329] [Citation(s) in RCA: 33] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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