Abstract
<p style="text-align: justify;">In this paper, a differential equation is derived that gives the relationship among the Loschmidt constant, the Avogadro constant, and the speed of sound in real gases as a function of the thermodynamic properties of the gas (pressure, temperature, and volume). The constant ratios NL/NA and the relative deviation of the NL/NA ratio from the mean value for the gases (hydrogen, helium, carbon monoxide, argon, nitrogen, oxygen, carbon dioxide, and methane) were calculated using their real-equations of state, confirming the validity of the derived equation. The first calculation of the ratio of the constants NL/NA and the relative deviation of the NL/NA ratio from the mean value for the gases at standard state (temperature 273.15 K and pressure 101,325 Pa) shows a good agreement with the published results in the literature, given the fact that the literature data of the NL/NA ratio is 0.04461498 at standard state. The second calculation of the constant ratios NL/NA and the relative deviation of the NL/NA ratio from the mean (average) value for the real gases was made for a pressure of 500,000 Pa and a temperature of 293.15 K, which also resulted in similar behavior as in previous case. The third calculation of the constant ratios NL/NA and the relative deviation of the NL/NA ratio from the mean<br />(average) value for the real gases was made for a pressure of 1000,000 Pa and a temperature of 320.0 K, which also gave similar behavior as in previous case.</p>
Published Version
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