The Concepts and Logic of Classical Thermodynamics as a Theory of Heat Engines

1. Front Matter

   Pages i-xxiv

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2. Calorimetry

   1. Front Matter

      Pages 1-1

      PDF

   2. Notations. Constitutive Domain. Heat and Work. Processes. Paths. Cycles

      • Clifford Ambrose Truesdell III, Subramanyam Bharatha

      Pages 3-7

   3. Thermal Equation of State. Examples. First Reversal Theorem

      • Clifford Ambrose Truesdell III, Subramanyam Bharatha

      Pages 8-19

   4. The Doctrine of Latent and Specific Heats. Second Reversal Theorem. Fundamental Theorem of Calorimetry

      • Clifford Ambrose Truesdell III, Subramanyam Bharatha

      Pages 20-25

   5. Adiabatic Processes. Laplace’s Theorem

      • Clifford Ambrose Truesdell III, Subramanyam Bharatha

      Pages 26-31

   6. Examples

      • Clifford Ambrose Truesdell III, Subramanyam Bharatha

      Pages 32-37

   7. Emission-Absorption Estimates

      • Clifford Ambrose Truesdell III, Subramanyam Bharatha

      Pages 38-43

3. Carnot’s General Axiom

   1. Front Matter

      Pages 45-45

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   2. Carnot Processes. Carnot Cycles and Webs. Lemmas regarding Heat and Work for Cycles in a Carnot Web

      • Clifford Ambrose Truesdell III, Subramanyam Bharatha

      Pages 47-56

   3. Carnot’s General Axiom. Local Theory: Reech’s First Theorem, First Principal Lemma

      • Clifford Ambrose Truesdell III, Subramanyam Bharatha

      Pages 57-65

   4. Basic Constitutive Restrictions in a Thermodynamic Part and in the Normal Set. Pro-Entropy and Internal Pro-Energy

      • Clifford Ambrose Truesdell III, Subramanyam Bharatha

      Pages 66-80

   5. Cyclic Processes in D_th and D_n. C-Processes. Efficiency Theorem and Emission-Absorption Theorem for C-Processes. Completeness Theorems

      • Clifford Ambrose Truesdell III, Subramanyam Bharatha

      Pages 81-99

   6. Properties of Ideal Gases and Van der Waals Fluids

      • Clifford Ambrose Truesdell III, Subramanyam Bharatha

      Pages 100-108

   7. Relation of Motors to Refrigerators

      • Clifford Ambrose Truesdell III, Subramanyam Bharatha

      Pages 109-111

   8. Estimates of the Efficiency of a Body undergoing a Cyclic Process

      • Clifford Ambrose Truesdell III, Subramanyam Bharatha

      Pages 112-118

   9. The Fourth Theorem of Reech: Existence of Four Thermodynamic Potentials

      • Clifford Ambrose Truesdell III, Subramanyam Bharatha

      Pages 119-125

4. Universal Efficiency of Ordinary Carnot Cycles

   1. Front Matter

      Pages 127-127

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   2. Universal Efficiency of Ordinary Carnot Cycles Compatible with the Existence of an Ideal Gas with Constant Specific Heats. Proof of the “First Law” and “Second Law” of Thermodynamics

      • Clifford Ambrose Truesdell III, Subramanyam Bharatha

      Pages 129-139

   3. Invariance of the Carnot Function under Change of the Unit of Temperature. Alternative to Axiom V

      • Clifford Ambrose Truesdell III, Subramanyam Bharatha

      Pages 140-143

Mon but n'a jamais be de m'occuper des ces matieres comme physicien, mais seulement comme /ogicien ... F. REECH, 1856 I do not think it possible to write the history of a science until that science itself shall have been understood, thanks to a clear, explicit, and decent logical structure. The exuberance of dim, involute, and undisciplined his­ torical essays upon classical thermodynamics reflects the confusion of the theory itself. Thermodynamics, despite its long history, has never had the benefit of a magisterial synthesis like that which EULER gave to hydro­ dynamics in 1757 or that which MAXWELL gave to electromagnetism in 1873; the expositions in the works of discovery in thermodynamics stand a pole apart from the pellucid directness of the notes in which CAUCHY presented his creation and development of the theory of elasticity from 1822 to 1845. Thermodynamics was born in obscurity and disorder, not to say confusion, and there the common presentations of it have remained. With this tractate I aim to provide a simple logical structure for the classical thermodynamics of homogeneous fluid bodies. Like any logical structure, it is only one of many possible ones. I think it is as simple and pretty as can be.

• Heat
• Logic
• Potential
• calorimetry
• dynamics
• energy
• entropy
• equation of state
• mathematics
• physics
• sorption
• temperature
• thermodynamic potentials
• thermodynamics

• The Johns Hopkins University, Baltimore, USA

  Clifford Ambrose Truesdell

• Research Department, Esso Resources Canada Limited, Calgary, Canada

  Subramanyam Bharatha

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