A Treatise of Heat and Energy by Lin-Shu Wang

Author:Lin-Shu Wang
Language: eng
Format: epub
ISBN: 9783030057466
Publisher: Springer International Publishing

6.2 Quasi-static Processes and the Classical (Caratheodory) Formalism

Carathéodory [3] set out to develop an alternative formulation to the definition of entropy , (62A), in Chap. 5, without using the reversible thermal machines. He began by noting the application of the first law, , to an adiabatic composite system (which consists of subsystems, e.g., two subsystems “1” and “2”) separated diathermanously undergoing quasi-static adiabatic processes

Because of being diathermanously related, the two subsystems are at the same temperature.

By “quasi-static” he meant, “A process that occurs so slowly that the difference between the work performed externally and the preceding limit, pdV, is smaller than the uncertainty of our measurements” [3:238]. A quasi-static process is an infinitely slow process.

On the same page, however, he added, “a quasistatic adiabatic process can be regarded as a series of [infinitely dense succession of] equilibrium states” [3:238]. Callen [5:96] also defined quasi-static processes to be “in terms of a dense succession of equilibrium states.” I make the interpretation here that both Carathéodory and Callen equated infinitely dense processes with infinitely slow processes as synonymous terms. In the following, a restated version is used for discussion in this chapter as the definition of quasi-static process (quasi-equilibrium process) set:The set consists of a subset-series of infinitely dense succession of equilibrium states and the corresponding subsets of all spontaneous transient states between each pairs of equilibrium states in the series.

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.