Ideal gases are gases in which the particles of the gas only interact through elastic collisions; there are no intermolecular forces between the particles. Real gases can approximate ideal gases at conditions of low pressure and high temperature where the intermolecular forces are negligible. Under those conditions the equation of state for an ideal gas holds: PV=nRT (1) where the pressure (P) ...

In this paper we study thermodynamic length of an isentropic Ideal and quasi-Ideal Gas using Weinhold metric in a two-dimensional state space. We give explicit relation between length at constant entropy and work.

We prove Archimedes' principle for a macroscopic ball in ideal gas consisting of point particles with non-zero mass. The main result is an asymptotic theorem, as the number goes to infinity and their total mass remains constant. also show that, asymptotically, has exponential density function height. find inverse temperature gas. derive accurate estimate volume phase space using local central l...

Transport is one of the most important physical processes in all energy and length scales. Ideal gases hydrodynamics are, respectively, two opposite limits transport. Here, we present an unexpected mathematical connection between these limits; that is, there exist situations solution to a class interacting hydrodynamic equations with certain initial conditions can be exactly constructed from dy...

At low pressure, ethylene gas consists of single translating and rotating molecules and behaves as an ideal gas. With decrease of free volume by compression, various rotating supramolecular particles are formed, which require less space for the movement: molecular pairs, bimolecules and oligomolecules. The appearance of a new kind of particles is manifested as a phase transition of the second o...