Correlation of PVT properties of homologous series with critical constants

1971 ◽  
Vol 24 (3) ◽  
pp. 465 ◽  
Author(s):  
MV Pandya ◽  
AG Williamson

A general equation based upon a modified principle of corresponding states and the principle of congruence is used to correlate the second virial coefficients of n-alkanes and their mixtures with each other and with hydrogen. The same procedure is extended to perfluoro-n-alkanes and alk-l-enes.

The principle of corresponding states, in a form that makes no reference to any particular equation, is extended to apply to mixtures. The principle, thus extended, is used to calculate the second virial coefficients. of gaseous mixtures. The values so calculated agree with the experimental values nearly always to within 1cm. 3 /mole and often much better.


The second virial coefficients of some binary mixtures of organic vapours have been measured at temperatures between 50 and 120° C. Mixtures of n -hexane with chloroform and of n -hexane with diethyl ether show a linear variation of second virial coefficient with composition. This is shown to be in accordance with prediction from the principle of corresponding states. Mixtures of chloroform with diethyl ether show a linear variation at 120° C, but pronounced curvature at lower temperatures. This is interpreted quantitatively as being due to association by hydrogen bonding with an energy of 6020 cal/mole.


An apparatus for the measurement of the second virial coefficients of vapours is described. It is designed so that a sample of the gas under investigation can be compared directly with a reference gas (nitrogen). This differential method has practical advantages over direct methods. The apparatus has been used to measure the second virial coefficients of the series of n-alkanes from propane to n-octane from near room temperature to about 140 °C. The results form a family showing deviations from the principle of corresponding states which increase regularly with increasing chain length. A simple formula based on the principle of corresponding states has been found to fit not only the present measurements, but also, previous measurements by other workers at higher temperatures on these substances, and also previous measurements on methane and on ethane. Measurements have also been made on equimolar mixtures of propane + n -heptane and of propane + n -octane. The results are in much better agreement with a slight extension of a rule of Guggenheim & McGlashan (1951) based on the principle of corresponding states than with the rule of Lewis & Randall (1923)-


1980 ◽  
Vol 45 (4) ◽  
pp. 1155-1158 ◽  
Author(s):  
Anatol Malijevský ◽  
Josef P. Novák

By using the statistical-thermodynamic interpretation of the theorem of corresponding states, new rules have been derived for estimating cross second viral coefficients.


1955 ◽  
Vol 8 (2) ◽  
pp. 149 ◽  
Author(s):  
SD Hamann ◽  
JA Lambert ◽  
RB Thomas

The second virial coefficients of the mixtures CH4-C(CH3)4, CH4-Si(CH3)4, and CH4-SF6 have been measured for several compositions and at several temperatures. Values of the coefficients B12, derived from the results, fail to conform to Guggenheim and McGlashan's (1951) extension of the principle of corresponding states. Reasons are given for this disagreement.


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