An efficient method for the determination of fourth virial coefficient with Lennard-Jones (12-6) potential and its application

2016 ◽  
Author(s):  
Bahtiyar A. Mamedov ◽  
Elif Somuncu ◽  
Iskender M. Askerov
Keyword(s):  
Efficient Method ◽  
Virial Coefficient ◽  
Lennard Jones

Accurate Assessment of Joule-Thomson Inversion Temperature at Zero Pressure of Imperfect Gases

2021 ◽  
Vol 11 ◽  
Author(s):  
B. A. Mamedov ◽  
Elif Somuncu
Keyword(s):  
Virial Coefficient ◽  
Accurate Determination ◽  
Fluid Temperature ◽  
New Approach ◽  
Lennard Jones ◽  
Inversion Temperature ◽  
Thomson Coefficient ◽  
Suggested Formula ◽  
Good Agreement

Background: The aim of this work is to propose an approach for estimating the Joule-Thomson coefficient as an important parameter necessary to the study of changes in fluid temperature at a given change in pressure at constant enthalpy. Objective: The analytical approach presented in this work is very appropriate for detailed studies of the Joule-Thomson inversion temperature at zero pressure for arbitrary temperature values. Methods: A new approach is suggested for the accurate determination of the Joule-Thomson inversion temperature at zero pressure using the virial coefficient of the Lennard-Jones (12-6) potential. Results: The usefulness and efficiency of the method are tested by application to various gase Ar, He,Ne,H2,O2,CO2CO,CH4,Xe, Kr,N2 and Air. The results obtained are in good agreement with other approximation and experimental data. Conclusion: The suggested formula enables correct and rapid calculation of the JT inversion temperature at zero pressure.

scholarly journals The determination of molecular forces from the viscosity of a gas

1929 ◽  
Vol 125 (796) ◽  
pp. 196-221 ◽  
Keyword(s):  
Equation Of State ◽  
Virial Coefficient ◽  
Molecular Model ◽  
Second Virial Coefficient ◽  
Lennard Jones ◽  
Molecular Forces ◽  
Working Out ◽  
Boyle’S Law ◽  
Mutual Action

The investigations of the kinetic theory of gases fall into two groups, those dealing with the deviations from Boyle's law as given by the second virial coefficient of the equation of state, and those dealing with the transport phenomena of viscosity, diffusion, and conduction of heat. In both cases the investigations are in so complete a form that there only remains the problem of working out the application of the results to particular models intended to represent the mutual action of the molecules. In the case of the equation of state it has been shown by Lennard-Jones that it is possible to carry out the necessary numerical calculations for the molecular model in which the repulsive force between two molecules is of the form λ r - n , where r is the distance between any two molecules, and the attractive force is of the form μ r - m . The results of this work have been found suitable for particular cases, and the corresponding force constants λ and μ have been determined.

Determination of Polycyclic Aromatic Hydrocarbons in Eggs Exposed to Fire Using a Simple and Efficient Method

2021 ◽  
Author(s):  
Vitor Vaz de Melo Antipoff ◽  
Rosimeire Resende dos Santos ◽  
Daniella Vasconcellos Augusti ◽  
Zenilda de Lourdes Cardeal ◽  
Helvécio Costa Menezes
Keyword(s):  
Polycyclic Aromatic Hydrocarbons ◽  
Aromatic Hydrocarbons ◽  
Efficient Method ◽  
Polycyclic Aromatic

Theoretical Assessment of Compressibility Factor of Gases by Using Second Virial Coefficient

2018 ◽  
Vol 73 (2) ◽  
pp. 121-125
Author(s):  
Bahtiyar A. Mamedov ◽  
Elif Somuncu ◽  
Iskender M. Askerov
Keyword(s):  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Compressibility Factor ◽  
Analytical Approximation ◽  
Accurate Evaluation ◽  
Numerical Examples ◽  
Lennard Jones ◽  
Theoretical Assessment ◽  
Good Agreement

AbstractWe present a new analytical approximation for determining the compressibility factor of real gases at various temperature values. This algorithm is suitable for the accurate evaluation of the compressibility factor using the second virial coefficient with a Lennard–Jones (12-6) potential. Numerical examples are presented for the gases H2, N2, He, CO2, CH4 and air, and the results are compared with other studies in the literature. Our results showed good agreement with the data in the literature. The consistency of the results demonstrates the effectiveness of our analytical approximation for real gases.

Quantum Mechanical Second Virial Coefficient of a Lennard‐Jones Gas. Helium

1969 ◽  
Vol 50 (9) ◽  
pp. 4034-4055 ◽  
Author(s):  
M. E. Boyd ◽  
S. Y. Larsen ◽  
J. E. Kilpatrick
Keyword(s):  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Quantum Mechanical ◽  
Lennard Jones
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