Applied Physics and Mathematics Annotation << Back DISTRIBUTION OF GAS MOLECULES BY THEIR TEMPERATURES B.G. GOLOVKIN Previously, contrary to the established belief that the concept of gas temperature makes sense only for a large number of gas molecules, it was shown by extrapolation that the concept of gas temperature can be applied to only a few gas molecules and, in the limit, even to one molecule. And since the velocities of the gas molecules obey the Maxwell distribution, it is natural to expect that a similar distribution of gas molecules should exist for their temperatures. In this paper, we propose a method for calculating such a distribution for the temperatures of gas molecules depending on the gas temperature. The method consists first in calculating the mean free path of gas molecules characterizing the temperature of the gas at which the number of gas molecules with a temperature equal to the average gas temperature is maximum, and only then the desired distribution according to the corresponding formula derived in this paper. The results show that at a given temperature of the gas, the total mass of molecules contains a large number of molecules whose temperatures are much different from the average temperature of the gas. And since reactions in the solid phase always occur in the environment of a certain gaseous medium, the temperatures of the gas molecules of which differ from each other, such reactions cannot be isothermal. But at different temperatures of gas molecules, the products of chemical reactions can also be different. It follows from this that ceramic synthesis technologies fundamentally do not allow obtaining highly pure substances. DOI: 10.25791/pfim.06.2019.1044 Contacts: - Pp. 27-31.