We demonstrate that by employing usual calculus along with the first law, the efficiency of a Carnot cycle can be evaluated when the working substance has an arbitrary equation of state. This leads to a neat derivation of Maxwell's first relation without using either the properties of perfect differentials as done by Tjiang and Sutanto or the abstract symbolism of topology as done by Hannay.
机构:
Univ Bologna, Dipartimento Matemat, Piazza Porta S Donato 5, I-40126 Bologna, ItalyUniv Bologna, Dipartimento Matemat, Piazza Porta S Donato 5, I-40126 Bologna, Italy
机构:
Calif Polytech State Univ San Luis Obispo, Phys Dept, San Luis Obispo, CA 93407 USACalif Polytech State Univ San Luis Obispo, Phys Dept, San Luis Obispo, CA 93407 USA
Dickerson, Robert H.
Mottmann, Jochen
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机构:
Calif Polytech State Univ San Luis Obispo, Phys Dept, San Luis Obispo, CA 93407 USACalif Polytech State Univ San Luis Obispo, Phys Dept, San Luis Obispo, CA 93407 USA
机构:
Department of Chemistry, University of Missouri, St. Louis, MO 63121, United StatesDepartment of Chemistry, University of Missouri, St. Louis, MO 63121, United States