Solución de un problema cotidiano mediante un análisis termodinámico

Abstract

When a fairground balloon flies up the sky, it remains subject to different physical and chemical elements which at the end will put an end to the maximum height that it will reach. First, and making use of Arquimedes’s principle, one calculates the air density in the point of maximum height. Next, using an adiabatic model of the atmosphere, we find one expression which relates the ire densities in the surface of Earth and in the point of maximum height with the pressures in those points. At the end, the fundamental equation of the hydrostatic allows us to obtain the numerical value of the maximum height: the objective of this study. On the other hand, one studies the influence that the balloon can have during the route of elevation e.g. such factors as the change of pressure and temperature. It can be demonstrated that these factors do not have significant incidences in the results obtained.