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Internal energy balances for continuous bodies and systems of particles

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Abstract

In this text we compare the internal energy concept usually given in thermodynamics and physical chemistry textbooks with that from continuum mechanics. We review some continuum mechanics local balance equations. Next, we define internal and rigid energies for systems of particles. By comparing the internal energy balance for the systems of particles to that of continuum mechanics, we confirm that the work included in the usual presentation of the first law is related to motions that conserve both linear and angular momenta. We also confirm the existence of an internal energy conservation law.

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References

  1. Atkins P, De Paula J (2009) Physical Chemistry, 9th edition. Oxford University Press, Oxford

    Google Scholar 

  2. DeVoe H (2001) Thermodynamics and Chemistry. Prentice Hall, Hoboken

    Google Scholar 

  3. Gurtin ME et al (2010) The Mechanics and Thermodynamics of Continua. Cambridge University Press, Cambridge

    Book  Google Scholar 

  4. Dittman RH, Zemansky MW (1997) Heat and Thermodynamics, 7th edition. McGraw-Hill, New York

    Google Scholar 

  5. Irgens F (2008) Continuum Mechanics. Springer, Berlin

    Google Scholar 

  6. Liu IS (2011) Continuum Mechanics. Springer, Berlin

    Google Scholar 

  7. Mannaerts SH (2014) Extensive quantities in thermodynamics. Eur J Phys 35(3):035017

    Article  Google Scholar 

  8. Maugin AG (2014) Continuum mechanics through the eighteenth and nineteenth centuries, historical perspectives from John Bernoulli (1727) to Ernst Hellinger (1914). Springer, Berlin

    Book  Google Scholar 

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Authors and Affiliations

  1. Institute of Chemistry, University of Campinas-UNICAMP, Campinas, Brazil

    Matheus Cordioli Agostin & Adalberto Bono Maurizio Sacchi Bassi

Authors
  1. Matheus Cordioli Agostin
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  2. Adalberto Bono Maurizio Sacchi Bassi
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Correspondence to Matheus Cordioli Agostin.

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Brazilian Coordination for the Improvement of Higher Education Personnel-CAPES-Grant 001-PROEX/0076040.

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Agostin, M.C., Bassi, A.B.M.S. Internal energy balances for continuous bodies and systems of particles. ChemTexts 8, 7 (2022). https://doi.org/10.1007/s40828-021-00155-w

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  • DOI: https://doi.org/10.1007/s40828-021-00155-w

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