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Pressure–Volume Integral Expressions for Work in Irreversible Processes

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Eric A. Gislason

Department of Chemistry, University of Illinois at Chicago, Chicago, IL 60680

Norman C. Craig

Department of Chemistry and Biochemistry, Oberlin College, Oberlin, OH 44074

J. Chem. Educ., 2007, 84 (3), p 499

DOI: 10.1021/ed084p499

Publication Date (Web): March 1, 2007

Section:

History, Education, and Documentation

Abstract

Different formulations of thermodynamic work w as a pressure–volume integral are examined for a piston moving against a gas in an irreversible process. Proper expressions are obtained using the instantaneous pressure of the gas on the piston as the integrand and also using certain external pressures as the integrand. There are two common yet different ways to define thermodynamic work, and results are obtained for both definitions. In addition, the contribution to w of the atmosphere in such processes is evaluated. An example is given that illustrates the points made in the paper.

Keywords (Audience):

Upper-Division Undergraduate

Keywords (Domain):

Physical Chemistry

Keywords (Feature):

Research: Science and Education

Keywords (Pedagogy):

Misconceptions / Discrepant Events

Keywords (Subject):

Calorimetry / Thermochemistry

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This article has been cited by 1 ACS Journal articles (1 most recent appear below).

The “Global” Formulation of Thermodynamics and the First Law: 50 Years On
Eric A. Gislason and Norman C. Craig
Journal of Chemical Education2011 88 (11), 1525-1530
- The “Global” Formulation of Thermodynamics and the First Law: 50 Years On
  Eric A. Gislason and Norman C. Craig
  Journal of Chemical Education2011 88 (11), 1525-1530
  Nearly 50 years ago, Henry Bent published his groundbreaking article in this Journal introducing the “global” formulation of thermodynamics. In the following years, the global formulation was elaborated by Bent and by one of the present authors. The ...
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