THE SECOND VIRIAL COEFFICIENT OF CARBON DIOXIDE AT LOW TEMPERATURES

1957 ◽  
Vol 35 (3) ◽  
pp. 268-275 ◽  
Author(s):  
D. Cook
Keyword(s):  
Carbon Dioxide ◽  
High Pressure ◽  
High Temperature ◽  
Low Temperatures ◽  
Pressure Range ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Expansion Method ◽  
Pressure Measurements ◽  
Gas Compressibility

The fixed volum e expansion method for gas compressibility measurements previously employed under conditions of high temperature and high pressure has now been developed for low temperature and low pressure measurements. A sensitive diaphragm null-pressure detector, operating as a capacitor, has been incorporated into the gas pipettes, and eliminates troublesome dead space corrections. The advantages and limitations of the method are discussed. Measurements of the second virial coefficient of carbon dioxide in the temperature range −60 °C. to + 30 °C, and in the pressure range 0.5 to 2.5 atmospheres, are reported.

scholarly journals HIGH AND LOW TEMPERATURE BEHAVIOR OF A QUANTUM GROUP FERMION GAS

1996 ◽  
Vol 11 (29) ◽  
pp. 2325-2333 ◽  
Author(s):  
MARCELO R. UBRIACO
Keyword(s):  
High Temperature ◽  
Low Temperature ◽  
Quantum Group ◽  
Upper Bound ◽  
Low Temperatures ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Temperature Behavior ◽  
Spatial Dimensions ◽  
Fermion Gas

We consider the simplest SU q(2) invariant fermionic Hamiltonian and calculate the low and high temperature behavior for the two distinct cases q>1 and q<1. For low temperatures we find that entropy values for the Fermi case are an upper bound for those corresponding to q≠1. At high temperatures we find that the sign of the second virial coefficient depends on q, and vanishes at q=1.96. An important consequence of this fact is that the parameter q connects the fermionic and bosonic regions, showing therefore that SU q(2) fermions exhibit fractional statistics in three spatial dimensions.

Nucleation Studies in Flowing High-Pressure Steam

1975 ◽  
Vol 189 (1) ◽  
pp. 427-436 ◽  
Author(s):  
F. Bakhtar ◽  
D. J. Ryley ◽  
K. A. Tubman ◽  
J. B. Young
Keyword(s):  
High Pressure ◽  
Equation Of State ◽  
Pressure Range ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Expansion Rate ◽  
Theoretical Treatment ◽  
High Pressure Steam ◽  
Pressure Steam

A description is given of a theoretical treatment of nucleation in flowing steam employing an equation of state based on the second virial coefficient. Comparison is made with experimental observations of reversion in the pressure range 2–35 bars of steam in a convergent-divergent nozzle of expansion rate P = 104 s-1. The agreement obtained is moderate.

The virial coefficients of the carbon dioxide-ethylene system I. Pure gases

1964 ◽  
Vol 277 (1371) ◽  
pp. 448-467 ◽  
Keyword(s):  
Carbon Dioxide ◽  
Second Virial Coefficient ◽  
Virial Coefficients ◽  
Direct Determination ◽  
Expansion Method ◽  
National Physical Laboratory ◽  
Intermolecular Potential ◽  
Gaseous Mixtures ◽  
Physical Laboratory ◽  
The Relationship

This paper describes the first part of an investigation of the thermodynamic properties of gases and gaseous mixtures undertaken a few years ago at the National Physical Laboratory, with the main object of providing data on the relationship between the properties of mixtures and those of the pure constituents. The virial coefficients of carbon dioxide and ethylene have been determined by the series-expansion method over the range —10 to 200 °C, and the representation of the results by several forms of intermolecular potential has been investigated. In the case of ethylene it appears that the second virial coefficient may be represented accurately in terms of a Lennard-Jones 6:12 potential, the parameters of which are determined. In the corresponding representation for carbon dioxide there is a small but systematic discrepancy and evidence is adduced that this may be rectified by the introduction of a quadrupole interaction term on the lines of the theory developed by Pople. The value of the quadrupole moment suggested by this calculation proves to be in fairly close agreement with a recent direct determination. Work on the virial coefficients of mixtures of the two gases will be described in a further paper.

The second virial coefficient of carbon dioxide

1967 ◽  
Vol 92 (4) ◽  
pp. 1115-1121 ◽  
Author(s):  
R S Dadson ◽  
E J Evans ◽  
J H King
Keyword(s):  
Carbon Dioxide ◽  
Virial Coefficient ◽  
Second Virial Coefficient

scholarly journals GENERALIZED PARTITION FUNCTIONS AND INTERPOLATING STATISTICS

1998 ◽  
Vol 13 (11) ◽  
pp. 843-852 ◽  
Author(s):  
P. F. BORGES ◽  
H. BOSCHI-FILHO ◽  
C. FARINA
Keyword(s):  
High Temperature ◽  
Low Temperature ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Temperature Limit ◽  
Partition Functions ◽  
High Temperature Limit ◽  
Full Temperature ◽  
Generalized Partition ◽  
Relativistic Particles

We show that the assumption of quasiperiodic boundary conditions (those that interpolate continuously periodic and antiperiodic conditions) in order to compute partition functions of relativistic particles in 2+1 space–time can be related with anyonic physics. In particular, in the low temperature limit, our result leads to the well-known second virial coefficient for anyons. Besides, we also obtain the high temperature limit as well as the full temperature dependence of this coefficient.

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