remains at the same temperature at its final state (hint: note the values of heat
exchange Q and work W in this case; give a precise reason for the W value
you assume). And determine the entropy change of the free expansion.
0:816 m
3
; 0:91 kJ/K
References
1. Planck M (1969) Treatise on Thermodynamics, 3
rd edition. Dover, New York
2. Jaynes ET (1984) The evolution of Carnot’s principle. EMBO Workshop on
Maximum-Entropy Methods (Orsay, France, April 24–28, 1984. Reprinted in Ercksen &
Smith [1988], 1:267-282)
3. Smith C, Wise MN (1989) Energy and Empire: A Biographical Study of Lord Kelvin.
Cambridge Univ Press
4. Clausius R (1865;1867) On Different Forms of the Fundamental Equations of the Mechanical
Theory of Heat and Their Convenience for Application. Presented to Zuricher naturforschende Gesellschaft on April 24, 1865. Published in Abhandlungen uber die mechanische
Warmetheories 2:1–44 (1867)
5. Fermi E (1956) Thermodynamics. Dover (p. 48)
6. Wang LS (2007) The nature of spontaneity-driven processes. International J of Ecodynamics
2: 231–244
7. Gibbs JW (1961) The Scientific Papers of J. W. Gibbs, Vol. 1: Thermodynamics. Dover
(p. 354)
8. Uffink J (2001) Bluff your way in the Second Law of Thermodynamics. Stud Hist Phil Sci
Part B: 2001 Studies in Hist and Philo of Modern Physics 32(No.2):305–395
9. Planck M (1887) Uber das Princip der Vermehrung der Entropie, in 3 parts. Ann. D. Phys.
30:562–582; 31:189-203; 32:462-503
10. Newburgh R, Leff H S (2011) The Mayer-Joule Principle: The foundation of the first law of
thermodynamics. The Physics Teacher 49(November):484–487
11. Brookes D, Horton G, Van Heuvelen A, Etkina E (2005) Concerning scientific discourse
about heat. AIP Conference Proceedings 790:149–152.
12. Romer RH (2001) Heat is not a noun. Am J Phys 69(2):107–109
13. Daub EE (1970) Entropy and dissipation. Historical Studies in the Physical Sciences 2:321–
354
14. Smith C (1991) Lord Kelvin: Scientist of energy. Supercond Sci Technol 4:502–506
15. Callen HB (1
st edition, 1960; 2
nd edition, 1985) Thermodynamics and an Introduction to
Thermostatistics. Wiley, New York
16. Born M (1949) Natural Philosophy of Cause and Chance. Oxford Univ Press (p. 38)
17. Carathéodory C (1909) Untersuchungen uber die Grundlagen der Thermodynamik. Math.
Ann. 67: 355–386. A translated text “Investigation into the foundations of thermodynamics”
is collected in J. Kestin, The Second Law of Thermodynamics (Dowden, Hutchinson and
Ross, 1976). Pages referred to this reference in-text are that of the translated text.
18. Landsberg PT (1961) Thermodynamics. Interscience, New York (p. 94)
19. Gislason EA, Craig NC (2005) Cementing the foundations of thermodynamics: comparison of
system-based and surroundings-based definitions of work and heat. J. Chem. Thermodynamics 37:954–966
5.11 Concluding Remarks: Applications to Special States …
133
exchange Q and work W in this case; give a precise reason for the W value
you assume). And determine the entropy change of the free expansion.
0:816 m
3
; 0:91 kJ/K
References
1. Planck M (1969) Treatise on Thermodynamics, 3
rd edition. Dover, New York
2. Jaynes ET (1984) The evolution of Carnot’s principle. EMBO Workshop on
Maximum-Entropy Methods (Orsay, France, April 24–28, 1984. Reprinted in Ercksen &
Smith [1988], 1:267-282)
3. Smith C, Wise MN (1989) Energy and Empire: A Biographical Study of Lord Kelvin.
Cambridge Univ Press
4. Clausius R (1865;1867) On Different Forms of the Fundamental Equations of the Mechanical
Theory of Heat and Their Convenience for Application. Presented to Zuricher naturforschende Gesellschaft on April 24, 1865. Published in Abhandlungen uber die mechanische
Warmetheories 2:1–44 (1867)
5. Fermi E (1956) Thermodynamics. Dover (p. 48)
6. Wang LS (2007) The nature of spontaneity-driven processes. International J of Ecodynamics
2: 231–244
7. Gibbs JW (1961) The Scientific Papers of J. W. Gibbs, Vol. 1: Thermodynamics. Dover
(p. 354)
8. Uffink J (2001) Bluff your way in the Second Law of Thermodynamics. Stud Hist Phil Sci
Part B: 2001 Studies in Hist and Philo of Modern Physics 32(No.2):305–395
9. Planck M (1887) Uber das Princip der Vermehrung der Entropie, in 3 parts. Ann. D. Phys.
30:562–582; 31:189-203; 32:462-503
10. Newburgh R, Leff H S (2011) The Mayer-Joule Principle: The foundation of the first law of
thermodynamics. The Physics Teacher 49(November):484–487
11. Brookes D, Horton G, Van Heuvelen A, Etkina E (2005) Concerning scientific discourse
about heat. AIP Conference Proceedings 790:149–152.
12. Romer RH (2001) Heat is not a noun. Am J Phys 69(2):107–109
13. Daub EE (1970) Entropy and dissipation. Historical Studies in the Physical Sciences 2:321–
354
14. Smith C (1991) Lord Kelvin: Scientist of energy. Supercond Sci Technol 4:502–506
15. Callen HB (1
st edition, 1960; 2
nd edition, 1985) Thermodynamics and an Introduction to
Thermostatistics. Wiley, New York
16. Born M (1949) Natural Philosophy of Cause and Chance. Oxford Univ Press (p. 38)
17. Carathéodory C (1909) Untersuchungen uber die Grundlagen der Thermodynamik. Math.
Ann. 67: 355–386. A translated text “Investigation into the foundations of thermodynamics”
is collected in J. Kestin, The Second Law of Thermodynamics (Dowden, Hutchinson and
Ross, 1976). Pages referred to this reference in-text are that of the translated text.
18. Landsberg PT (1961) Thermodynamics. Interscience, New York (p. 94)
19. Gislason EA, Craig NC (2005) Cementing the foundations of thermodynamics: comparison of
system-based and surroundings-based definitions of work and heat. J. Chem. Thermodynamics 37:954–966
5.11 Concluding Remarks: Applications to Special States …
133