Faculty of Mechanical Engineering, University of Zenica, Zenica, Bosnia and Herzegovina
Department of Chemical Engineering, Faculty of Technology, University of Tuzla, Tuzla, Bosnia and Herzegovina
Faculty of Mechanical Engineering, University of Zenica, Zenica, Bosnia and Herzegovina
In this paper, a differential equation is derived relating to the relationship among the Loschmidt constant, the Avogadro constant, and the speed of sound in gases as a function of the thermodynamic properties of the gas (pressure, temperature, and volume). To confirm the validity of the derived equation, the ratio of the constants NL/NA and the deviation of the NL/NA ratio for several ideal gases (hydrogen, helium, carbon monoxide,
nitrogen, oxygen, carbon dioxide, methane) were calculated using the ideal-gas equations of state (Pv=RT). The calculation of the ratio of the constants NL/NA and the deviation of the NL/NA ratio from the value for the gases at standard state (i.e., temperature 273.15 K and pressure 101325 Pa) is in a good agreement with the results published in literature, given the fact that the literature data of the NL/NA ratio is 0.04461498 at standard state. As the second step in confirming the validity of the derived equation, the ratio of the constants NL/NA and the deviation of the NL/NA ratio for several real gases (hydrogen, helium, carbon monoxide, nitrogen, oxygen, carbon dioxide, methane) were calculated using the real-gas Van der Waals equation of state. In this case, the calculation results are also in agreement with the reference value.
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