3:10 An ideal gas of 0.1 kmol at the initial state of 298.15 K and 303.9 kPa
occupies one chamber of an insulated composite system. The other chamber
(of double volume of the first) contains a vacuum. Determine the volume of
the first chamber V 1 . After the removal of the partition between the two
chambers, the ideal gas undergoes an adiabatic free expansion from its initial
volume V 1 to its final volume 3 V 1 . Explain why the gas remains at the same
temperature at its final state (hint: note the values of heat exchange Q and
work W in this case as it was considered in Prob. 3–9; give precise reason for
the W value you assume).
0:816m
3
• All these processes are internally reversible and quasi-static.
References
1. Clausius R (1851) On the moving force of heat, and the laws regarding the nature of heat itself
which are deducible therefrom. Philosophical Magazine 2(No. 4):1–21, 102–119 (Translated
by J. Tyndall)
2. Mares JJ et al. (2008) Phenomenological approach to the caloric theory of heat. Thermochimica
Acta 474:16–24
3. Brookes D, Horton G, Van Heuvelen A, Etkina E (2005) Concerning scientific discourse about
heat. AIP Conference Proceedings 790:149–152
4. Atkins P (2010) The Laws of Thermodynamics: A Very Short Introduction. Oxford Univ Press
5. Coppersmith J (2010) Energy, the Subtle Concept. Oxford Univ Press
6. Holton G, Brush SG (2001) Physics, the Human Adventure. Rutgers Univ Press (p. 202)
3.11 The Story of Heat
59
occupies one chamber of an insulated composite system. The other chamber
(of double volume of the first) contains a vacuum. Determine the volume of
the first chamber V 1 . After the removal of the partition between the two
chambers, the ideal gas undergoes an adiabatic free expansion from its initial
volume V 1 to its final volume 3 V 1 . Explain why the gas remains at the same
temperature at its final state (hint: note the values of heat exchange Q and
work W in this case as it was considered in Prob. 3–9; give precise reason for
the W value you assume).
0:816m
3
• All these processes are internally reversible and quasi-static.
References
1. Clausius R (1851) On the moving force of heat, and the laws regarding the nature of heat itself
which are deducible therefrom. Philosophical Magazine 2(No. 4):1–21, 102–119 (Translated
by J. Tyndall)
2. Mares JJ et al. (2008) Phenomenological approach to the caloric theory of heat. Thermochimica
Acta 474:16–24
3. Brookes D, Horton G, Van Heuvelen A, Etkina E (2005) Concerning scientific discourse about
heat. AIP Conference Proceedings 790:149–152
4. Atkins P (2010) The Laws of Thermodynamics: A Very Short Introduction. Oxford Univ Press
5. Coppersmith J (2010) Energy, the Subtle Concept. Oxford Univ Press
6. Holton G, Brush SG (2001) Physics, the Human Adventure. Rutgers Univ Press (p. 202)
3.11 The Story of Heat
59