Formula of compressibility and using it for air, noble gases, some hydrocarbons gases, some diatomic simple gases and some other fluids
Abstract Based on solutions of the Ornstein–Zernike equation (OZE) of Lennard–Jones potential for mean spherical approximation (MSA), we derive analytical formula for the compressibility assuming that the system is of low density, homogeneous, isotropic and composed of one component. Depending on th...
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| Format: | Article |
| Language: | English |
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BMC
2020-08-01
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| Series: | BMC Chemistry |
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| Online Access: | http://link.springer.com/article/10.1186/s13065-020-00702-5 |
| _version_ | 1818160041474129920 |
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| author | Marwan Al-Raeei Moustafa Sayem El-Daher |
| author_facet | Marwan Al-Raeei Moustafa Sayem El-Daher |
| author_sort | Marwan Al-Raeei |
| collection | DOAJ |
| description | Abstract Based on solutions of the Ornstein–Zernike equation (OZE) of Lennard–Jones potential for mean spherical approximation (MSA), we derive analytical formula for the compressibility assuming that the system is of low density, homogeneous, isotropic and composed of one component. Depending on this formula, we find the values of the bulk modulus and the compressibility of air at room temperature and the bulk modulus and the compressibility of Methane, Ethylene, Propylene and Propane at nine per ten of critical temperature of each hydrocarbon. Also, we find the speed of sound in the air at various temperatures, the speed of sound in each of Helium, Neon, Argon, Krypton, Xenon, Methane, Ethylene, Propylene, Propane, Hydrogen, Nitrogen, Fluorine, Chlorine, Oxygen, Nitrous oxide (laughing gas), Carbon dioxide, Nitric oxide, Carbon monoxide, Sulphur dioxide and dichlorodifluoromethane at room temperature. Besides, we find the speed of sound in Methane, Ethylene, Propylene and Propane at nine per ten of critical temperature of each hydrocarbons depending on the formula we find. We show that the simple formula we derive in this work is reliable and agrees with the results obtained from other studies and literatures. We believe it can be used for many systems which are in low densities and described by Lennard–Jones potential. |
| first_indexed | 2024-12-11T15:55:34Z |
| format | Article |
| id | doaj.art-9679da6c290c4f4494d29fd83cbd918f |
| institution | Directory Open Access Journal |
| issn | 2661-801X |
| language | English |
| last_indexed | 2024-12-11T15:55:34Z |
| publishDate | 2020-08-01 |
| publisher | BMC |
| record_format | Article |
| series | BMC Chemistry |
| spelling | doaj.art-9679da6c290c4f4494d29fd83cbd918f2022-12-22T00:59:28ZengBMCBMC Chemistry2661-801X2020-08-011411710.1186/s13065-020-00702-5Formula of compressibility and using it for air, noble gases, some hydrocarbons gases, some diatomic simple gases and some other fluidsMarwan Al-Raeei0Moustafa Sayem El-Daher1Faculty of Sciences, Damascus UniversityFaculty of Informatics and Communications, Arab International UniversityAbstract Based on solutions of the Ornstein–Zernike equation (OZE) of Lennard–Jones potential for mean spherical approximation (MSA), we derive analytical formula for the compressibility assuming that the system is of low density, homogeneous, isotropic and composed of one component. Depending on this formula, we find the values of the bulk modulus and the compressibility of air at room temperature and the bulk modulus and the compressibility of Methane, Ethylene, Propylene and Propane at nine per ten of critical temperature of each hydrocarbon. Also, we find the speed of sound in the air at various temperatures, the speed of sound in each of Helium, Neon, Argon, Krypton, Xenon, Methane, Ethylene, Propylene, Propane, Hydrogen, Nitrogen, Fluorine, Chlorine, Oxygen, Nitrous oxide (laughing gas), Carbon dioxide, Nitric oxide, Carbon monoxide, Sulphur dioxide and dichlorodifluoromethane at room temperature. Besides, we find the speed of sound in Methane, Ethylene, Propylene and Propane at nine per ten of critical temperature of each hydrocarbons depending on the formula we find. We show that the simple formula we derive in this work is reliable and agrees with the results obtained from other studies and literatures. We believe it can be used for many systems which are in low densities and described by Lennard–Jones potential.http://link.springer.com/article/10.1186/s13065-020-00702-5CompressibilityLenard–Jones potentialBulk modulusOne component fluidBulk modulusStatic structure factor |
| spellingShingle | Marwan Al-Raeei Moustafa Sayem El-Daher Formula of compressibility and using it for air, noble gases, some hydrocarbons gases, some diatomic simple gases and some other fluids BMC Chemistry Compressibility Lenard–Jones potential Bulk modulus One component fluid Bulk modulus Static structure factor |
| title | Formula of compressibility and using it for air, noble gases, some hydrocarbons gases, some diatomic simple gases and some other fluids |
| title_full | Formula of compressibility and using it for air, noble gases, some hydrocarbons gases, some diatomic simple gases and some other fluids |
| title_fullStr | Formula of compressibility and using it for air, noble gases, some hydrocarbons gases, some diatomic simple gases and some other fluids |
| title_full_unstemmed | Formula of compressibility and using it for air, noble gases, some hydrocarbons gases, some diatomic simple gases and some other fluids |
| title_short | Formula of compressibility and using it for air, noble gases, some hydrocarbons gases, some diatomic simple gases and some other fluids |
| title_sort | formula of compressibility and using it for air noble gases some hydrocarbons gases some diatomic simple gases and some other fluids |
| topic | Compressibility Lenard–Jones potential Bulk modulus One component fluid Bulk modulus Static structure factor |
| url | http://link.springer.com/article/10.1186/s13065-020-00702-5 |
| work_keys_str_mv | AT marwanalraeei formulaofcompressibilityandusingitforairnoblegasessomehydrocarbonsgasessomediatomicsimplegasesandsomeotherfluids AT moustafasayemeldaher formulaofcompressibilityandusingitforairnoblegasessomehydrocarbonsgasessomediatomicsimplegasesandsomeotherfluids |