List of Tables in Appendix A |
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xxv | |
List of Figures in Appendix B |
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xxix | |
Preface to Second Edition |
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xxxi | |
Nomenclature |
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xxxv | |
Thermolab Excel-Based® Software for Thermodynamic Properties, Flame Temperatures of Fuels, Conversion Units, Math Functions and Other Properties |
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xli | |
Four Important Equations in Analysis of Thermal Systems |
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xlv | |
1 Introduction |
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1 | (60) |
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1 | (1) |
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1.1 Importance, Significance and Limitations |
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1 | (1) |
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1.2 Review of Thermodynamics |
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2 | (12) |
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1.2.1 System and Boundary |
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2 | (1) |
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2 | (2) |
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1.2.3 Constraints and Restraints |
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4 | (1) |
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4 | (1) |
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4 | (1) |
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4 | (1) |
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5 | (1) |
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1.2.8 Amount of Matter and Avogadro Number |
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5 | (1) |
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6 | (1) |
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7 | (1) |
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8 | (2) |
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10 | (1) |
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1.2.13 Standard Temperature and Pressure |
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10 | (1) |
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11 | (1) |
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11 | (1) |
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1.2.16 Vapor–Liquid Phase Equilibrium |
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11 | (3) |
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1.3 Mathematical Background |
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14 | (15) |
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1.3.1 Explicit and Implicit Functions and Total Differentiation |
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14 | (2) |
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1.3.2 Exact (Perfect) and Inexact (Imperfect) Differentials |
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16 | (4) |
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1.3.2.1 Mathematical Criteria for an Exact Differential |
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18 | (2) |
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1.3.3 Relevance to Thermodynamics |
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20 | (2) |
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20 | (1) |
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1.3.3.2 Integral over a Closed Path (Thermodynamic Cycle) |
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21 | (1) |
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1.3.4 Homogeneous Functions |
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22 | (4) |
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1.3.4.1 Relevance of Homogeneous Functions to Thermodynamics |
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24 | (2) |
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1.3.5 LaGrange Multipliers |
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26 | (2) |
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28 | (1) |
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1.4 Overview of Microscopic/Nanothermodynamics |
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29 | (28) |
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29 | (1) |
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1.4.2 Intermolecular Forces and Potential Energy |
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29 | (4) |
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1.4.3 Collision Number, Mean Free Path, and Molecular Velocity |
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33 | (4) |
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1.4.3.1 Collision Number and Mean Free Path |
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33 | (2) |
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1.4.3.2 Maxwellian Distribution of Molecular Velocity |
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35 | (1) |
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1.4.3.3 Average, Root Mean Square (RMS), and Most Probable Speeds |
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36 | (1) |
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1.4.4 Thermal and Internal Energy |
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37 | (2) |
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38 | (1) |
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38 | (1) |
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1.4.4.3 Triatomic and Polyatomic Gases |
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39 | (1) |
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39 | (1) |
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40 | (2) |
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1.4.6.1 Relation between Pressure and Temperature |
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40 | (2) |
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1.4.7 Gas, Liquid, and Solid |
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42 | (3) |
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45 | (1) |
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1.4.9 Heat Transfer and Thermal Equilibrium |
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46 | (1) |
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1.4.10 Chemical Potential |
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46 | (3) |
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1.4.10.1 Multicomponent into Multicomponent |
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47 | (1) |
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1.4.10.2 Single Component into Multicomponent |
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48 | (1) |
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1.4.11 Boiling/Phase Equilibrium |
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49 | (2) |
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1.4.11.1 Single Component Fluid |
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49 | (1) |
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1.4.11.2 Multiple Components |
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50 | (1) |
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51 | (6) |
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51 | (1) |
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1.4.12.2 Energy Levels or Quantum Numbers |
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52 | (1) |
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1.4.12.3 Macro- and Microstates and Entropy |
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53 | (2) |
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1.4.12.4 Entropy of a Solid, a Liquid and a Gas |
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55 | (1) |
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1.4.12.5 Relation between Entropy, Energy and Volume |
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55 | (2) |
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1.4.13 Properties in Mixtures: Partial Molal Property |
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57 | (1) |
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57 | (1) |
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1.6 Appendix: Stokes and Gauss Theorems |
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57 | (4) |
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58 | (1) |
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1.6.2 Gauss—Ostrogradskii Divergence Theorem |
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58 | (1) |
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1.6.3 The Leibnitz Formula |
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59 | (2) |
2 First Law of Thermodynamics |
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61 | (58) |
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61 | (1) |
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61 | (1) |
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62 | (1) |
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2.3 First Law for a Closed System |
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62 | (8) |
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2.3.1 Energy Conservation Equation in Various Forms |
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63 | (7) |
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2.3.1.1 Elemental Process |
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63 | (3) |
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66 | (1) |
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2.3.1.3 Uncoupled (Conservative) and Coupled (Nonconservative) Systems |
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66 | (3) |
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2.3.1.4 Adiabatic Form and Caratheodary Axiom I |
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69 | (1) |
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2.3.1.5 Cyclical Form and Poincare Theorem |
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69 | (1) |
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2.3.1.6 First Law in Rate Form |
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70 | (1) |
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2.4 Quasi-Equilibrium (QE) and Nonquasi-Equilibrium (NQE) Processes |
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70 | (9) |
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2.4.1 Quasi-Equilibrium and Nonequilibrium Heat Transfer |
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70 | (1) |
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2.4.2 Quasi-Equilibrium and Nonequilibrium Work Transfer |
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71 | (8) |
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2.4.2.1 Quasi-Equilibrium Work Transfer |
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71 | (3) |
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2.4.2.2 Nonquasi-Equilibrium Work Transfer |
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74 | (5) |
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2.5 Enthalpy and First Law |
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79 | (6) |
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2.5.1 First Law in Enthalpy Form |
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79 | (1) |
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2.5.2 Reference Conditions for Enthalpy and Internal Energy |
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80 | (2) |
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2.5.3 Specific Heats at Constant Pressure and Volume |
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82 | (5) |
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82 | (1) |
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83 | (2) |
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2.6 Adiabatic Reversible Process for Ideal Gas with Constant Specific Heats |
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85 | (2) |
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2.7 First Law for an Open System |
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87 | (12) |
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2.7.1 Conservation of Mass |
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88 | (3) |
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88 | (2) |
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90 | (1) |
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90 | (1) |
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2.7.1.4 Closed System Elemental Form |
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91 | (1) |
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2.7.2 Conservation of Energy for a Simple Open System |
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91 | (7) |
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91 | (3) |
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94 | (4) |
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2.7.3 Conservation of Energy for Complex Open System |
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98 | (1) |
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2.7.3.1 Multiple Inlets and Exits |
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98 | (1) |
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2.7.3.2 Nonreacting Multicomponent System |
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98 | (1) |
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2.8 Applications of First Law for an Open System |
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99 | (12) |
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2.8.1 Heating of a Residence in Winter |
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99 | (2) |
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2.8.2 Charging of Gas into a Cylinder |
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101 | (3) |
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2.8.3 Discharging Gas from Cylinders |
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104 | (1) |
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2.8.4 Systems Involving Boundary Work |
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105 | (3) |
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2.8.5 Charging Cavern with CO2 Work Input |
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108 | (3) |
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2.9 Integral and Differential Forms of Conservation Equations |
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111 | (4) |
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111 | (2) |
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111 | (1) |
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2.9.1.2 Differential Form |
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112 | (1) |
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2.9.2 Energy Conservation |
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113 | (3) |
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113 | (1) |
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2.9.2.2 Differential Form |
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113 | (1) |
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2.9.2.3 Deformable Boundary |
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114 | (1) |
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115 | (1) |
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116 | (3) |
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2.11.1 Conservation Relations for a Deformable Control Volume |
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116 | (3) |
3 Second Law of Thermodynamics and Entropy |
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119 | (100) |
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119 | (1) |
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119 | (1) |
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3.2 Thermal and Mechanical Energy Reservoirs |
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120 | (1) |
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3.3 Heat Engine and Heat Pump |
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120 | (4) |
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120 | (1) |
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3.3.2 Heat Pump and Refrigeration Cycle |
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120 | (2) |
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3.3.2.1 Statements of the Second Law |
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121 | (1) |
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3.3.3 Informal Statements |
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122 | (1) |
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123 | (1) |
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3.3.4.1 Kelvin (1824-1870): Planck (1858-1947) Statement |
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123 | (1) |
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3.3.4.2 Clausius (1822-1888) Statement |
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123 | (1) |
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3.3.5 Perpetual Motion Machines |
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123 | (1) |
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3.4 Consequences of the Second Law |
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124 | (7) |
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3.4.1 Reversible and Irreversible Processes |
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124 | (1) |
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3.4.2 Carnot's Corollaries |
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124 | (7) |
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126 | (3) |
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3.4.2.2 Proof of First Corollary: Cyclical Integral for an Irreversible Heat Engine or Clausius Inequalitys δQ/T<0 |
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129 | (2) |
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3.4.3 External and Internal Reversibility |
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131 | (1) |
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131 | (6) |
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3.5.1 Mathematical Definition |
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131 | (1) |
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3.5.2 Characteristics of Entropy |
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132 | (2) |
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3.5.3 Relation between dS, δQ, and T during an Irreversible Process |
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134 | (3) |
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3.5.4 Caratheodary Axiom II |
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137 | (1) |
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3.6 Entropy Balance Equation for a Closed System |
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137 | (7) |
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137 | (6) |
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3.6.1.1 Uniform Temperature within a System |
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137 | (3) |
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3.6.1.2 Nonuniform Properties within a System |
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140 | (3) |
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143 | (1) |
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143 | (1) |
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143 | (1) |
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3.6.5 Adiabatic Reversible Processes |
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144 | (1) |
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144 | (4) |
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3.7.1 Irreversibility and Entropy of an Isolated System |
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144 | (2) |
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3.7.2 Degradation and Quality of Energy |
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146 | (2) |
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3.8 Entropy Measurements and Evaluation |
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148 | (14) |
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3.8.1 The "ds" Relation for any Substance |
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148 | (3) |
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3.8.2 Entropy Change of Ideal Gases |
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151 | (4) |
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3.8.2.1 Constant Specific Heats |
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151 | (1) |
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3.8.2.2 Variable Specific Heats |
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151 | (4) |
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3.8.3 Entropy Incompressible Liquids |
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155 | (1) |
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156 | (1) |
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3.8.5 Entropy during Phase Change |
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157 | (2) |
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158 | (1) |
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3.8.6 Entropy of a Mixture of Ideal Gases |
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159 | (9) |
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3.8.6.1 Gibbs—Dalton's Law |
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159 | (1) |
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3.8.6.2 Reversible Path Method |
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160 | (2) |
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3.9 Local and Global Equilibrium |
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162 | (1) |
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3.10 Entropy: Energy Relation for Single Component Incompressible Fluids |
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163 | (3) |
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166 | (2) |
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3.12 Entropy Balance Equation for an Open System |
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168 | (10) |
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3.12.1 General Expression |
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168 | (5) |
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3.12.2 Evaluation of Entropy for a Control Volume |
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173 | (5) |
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3.13 Internally Reversible Work for an Open System |
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178 | (2) |
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3.14 Irreversible Processes and Efficiencies |
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180 | (1) |
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181 | (2) |
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181 | (1) |
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3.15.2 Refrigeration Cycles |
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182 | (1) |
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183 | (1) |
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183 | (1) |
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3.15.5 Coefficient of Performance COP |
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183 | (1) |
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183 | (1) |
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3.15.7 HP/Ton of Refrigeration |
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183 | (1) |
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3.16 Entropy Balance in Integral and Differential Form |
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183 | (4) |
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184 | (1) |
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184 | (1) |
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3.16.3 Application to Open Systems |
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185 | (2) |
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185 | (1) |
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185 | (1) |
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185 | (2) |
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3.17 Maximum Entropy and Minimum Energy |
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187 | (22) |
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3.17.1 Entropy Maximum (for Specified U, V, m) |
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189 | (7) |
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3.17.2 Internal Energy Minimum (for Specified S, V, m) |
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196 | (5) |
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3.17.3 Enthalpy Minimum (for Specified S, P, m) |
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201 | (3) |
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3.17.4 Helmholtz Free Energy Minimum (for Specified T, V, m) |
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204 | (1) |
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3.17.5 Gibbs Free Energy Minimum (for Specified T, P, m) |
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204 | (5) |
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3.18 Generalized Derivation of Equilibrium for a Single Phase |
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209 | (4) |
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3.18.1 Relation for Entropy Generation Rate |
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209 | (3) |
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212 | (1) |
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212 | (1) |
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212 | (1) |
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3.19 Multiphase Multicomponent Equilibrium |
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213 | (1) |
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214 | (1) |
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214 | (5) |
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3.21.1 Proof for Additive Nature of Entropy |
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214 | (1) |
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3.21.2 Relative Pressures and Volumes |
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215 | (1) |
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3.21.3 LaGrange Multiplier Method for Equilibrium |
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216 | (4) |
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216 | (1) |
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217 | (2) |
4 Availability |
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219 | (66) |
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219 | (1) |
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219 | (1) |
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4.2 Optimum Work and Irreversibility in a Closed System |
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220 | (5) |
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4.2.1 Internally Reversible Process |
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223 | (1) |
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4.2.2 Useful or External Work |
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223 | (1) |
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4.2.3 Internally Irreversible Process with No External Irreversibility |
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224 | (1) |
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4.2.4 Irreversibility or Gouy—Stodola Theorem |
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224 | (1) |
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4.2.5 Nonuniform Boundary Temperature in a System |
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224 | (1) |
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4.3 Availability or Exergy Analyses for a Closed System |
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225 | (10) |
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4.3.1 Absolute and Relative Availability (Exergy) under Interactions with Ambient |
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225 | (3) |
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4.3.2 Irreversibility or Lost Work |
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228 | (7) |
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4.4 Generalized Availability Analysis |
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235 | (18) |
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4.4.1 Steam Availabilities Actual Work and Optimum Work |
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235 | (2) |
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4.4.2 Lost Work Rate, Irreversibility Rate, Availability Loss |
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237 | (1) |
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4.4.3 Availability Balance Equation in Terms of Actual Work |
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238 | (1) |
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4.4.4 Irreversibility Due to Heat Transfer |
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238 | (1) |
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4.4.5 Multiple Inlets and Exits |
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239 | (1) |
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4.4.6 Multiple Components |
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239 | (1) |
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4.4.7 Applications of the Availability Balance Equation |
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240 | (8) |
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4.4.7.1 Unsteady Processes |
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240 | (1) |
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4.4.7.2 Steady State Processes |
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241 | (7) |
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248 | (1) |
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4.4.9 Closed System (Nonflow Systems) and Closed System Availabilities |
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248 | (5) |
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4.4.9.1 Multiple Reservoirs |
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248 | (2) |
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4.4.9.2 Interaction with the Ambient Only |
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250 | (1) |
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250 | (1) |
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4.4.9.4 Helmholtz Function |
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251 | (2) |
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4.5 Availability/Exergetic Efficiency |
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253 | (14) |
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253 | (5) |
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4.5.1.1 Efficiency Based on Energy |
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253 | (1) |
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4.5.1.2 Availability or Exergetic Efficiency |
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254 | (4) |
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4.5.2 Heat Pumps and Refrigerators |
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258 | (3) |
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4.5.3 Work-Producing and Consumption Devices |
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261 | (4) |
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262 | (1) |
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262 | (1) |
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4.5.3.3 Relation between ηAvail,f and ηAvail,0 for Work-Producing Devices |
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263 | (2) |
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4.5.4 Flow Processes or Heat Exchangers |
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265 | (1) |
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4.5.4.1 Significance of the Availability or Exergetic Efficiency |
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266 | (1) |
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4.5.5 Availability/Metabolic Efficiency for Biological Systems |
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266 | (1) |
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4.5.6 Differences among Actual, Isentropic and Optimum Processes in a Work Device |
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267 | (1) |
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4.6 Chemical Availability |
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267 | (12) |
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268 | (9) |
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4.6.1.1 ideal Gas Mixtures |
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268 | (4) |
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4.6.1.2 Vapor or Wet Mixture as the Medium in a Turbine |
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272 | (1) |
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4.6.1.3 Vapor—Gas Mixtures |
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273 | (1) |
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4.6.1.4 Psychometry and Cooling Towers |
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274 | (3) |
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277 | (2) |
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277 | (2) |
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4.7 Integral and Differential Forms of Availability Balance |
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279 | (4) |
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279 | (1) |
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279 | (1) |
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280 | (3) |
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283 | (2) |
5 Postulatory (Gibbsian) Thermodynamics |
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285 | (20) |
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285 | (1) |
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285 | (1) |
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5.2 Classical Rationale for Postulatory Approach |
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285 | (3) |
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5.3 Simple Compressible Substance |
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288 | (1) |
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288 | (7) |
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5.4.1 Simple Legendre Transform |
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288 | (2) |
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5.4.2 Relevance to Thermodynamics |
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290 | (1) |
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5.4.3 Generalized Legendre Transform |
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291 | (4) |
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5.5 Application of Legendre Transform |
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295 | (1) |
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5.6 Work Modes and Generalized State Relation |
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296 | (3) |
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296 | (1) |
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296 | (1) |
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5.6.3 Surface Tension Effects |
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296 | (2) |
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298 | (1) |
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5.6.5 Work Involving Gravitational Field |
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298 | (1) |
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5.6.6 Generalized State Relation |
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299 | (1) |
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5.7 Thermodynamic Postulates for Simple Systems |
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299 | (1) |
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299 | (1) |
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300 | (1) |
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300 | (1) |
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300 | (1) |
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5.8 Fundamental Equations in Thermodynamics |
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300 | (4) |
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300 | (1) |
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301 | (1) |
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5.8.3 Intensive and Extensive Properties |
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302 | (2) |
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304 | (1) |
6 State Relationships for Real Gases and Liquids |
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305 | (40) |
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305 | (1) |
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305 | (1) |
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306 | (1) |
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307 | (2) |
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6.3.1 Exact Virial Equation |
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308 | (1) |
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6.3.2 Approximate Virial Equation |
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308 | (1) |
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6.4 Clausius-I Equation of State |
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309 | (2) |
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311 | (6) |
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6.6 Redlich–Kwong Equation of State |
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317 | (1) |
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6.7 Other Two-Parameter Equations of State |
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318 | (5) |
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6.8 Compressibility Charts (Principle of Corresponding States) |
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323 | (4) |
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6.9 Boyle Temperature and Boyle Curves |
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327 | (1) |
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327 | (1) |
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328 | (1) |
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328 | (2) |
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6.11 Three Parameter Equations of State |
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330 | (4) |
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6.11.1 Critical Compressibility Factor (Zc)-Based Equations |
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|
331 | (1) |
|
|
331 | (2) |
|
|
331 | (2) |
|
6.11.2.2 Evaluation of Pitzer Factor, ω |
|
|
333 | (1) |
|
6.11.3 Other Three Parameter Equations of State |
|
|
333 | (3) |
|
6.11.3.1 One Parameter Approximate Virial Equation |
|
|
333 | (1) |
|
6.11.3.2 Redlich–Kwong–Soave (RKS or SRK) Equation |
|
|
333 | (1) |
|
6.11.3.3 Robinson (PR) Equation |
|
|
334 | (1) |
|
6.12 Generalized Equation of State |
|
|
334 | (2) |
|
6.13 Empirical Equations of State |
|
|
336 | (1) |
|
6.13.1 Benedict–Webb–Rubin Equation |
|
|
336 | (1) |
|
6.13.2 Beatie–Bridgemann (BB) Equation of State |
|
|
336 | (1) |
|
6.13.3 Modified BWR Equation |
|
|
336 | (1) |
|
6.13.4 Lee–Kesler Equation of State |
|
|
336 | (1) |
|
|
337 | (1) |
|
6.14 State Equations for Liquids/Solids |
|
|
337 | (5) |
|
6.14.1 Generalized State Equation |
|
|
337 | (3) |
|
6.14.2 Murnaghan Equation of State |
|
|
340 | (1) |
|
6.14.3 Racket Equation for Saturated Liquids |
|
|
340 | (1) |
|
6.14.4 Relation for Densities of Saturated Liquids and Vapors |
|
|
341 | (1) |
|
6.14.5 Lyderson Charts (for Liquids) |
|
|
341 | (1) |
|
6.14.6 Incompressible Approximation |
|
|
341 | (1) |
|
|
342 | (1) |
|
|
342 | (3) |
|
|
342 | (1) |
|
|
342 | (1) |
|
|
342 | (1) |
|
6.16.2 Another Explanation for the Attractive Force |
|
|
343 | (1) |
|
6.16.3 Critical Temperature and Attraction Force Constant |
|
|
343 | (2) |
7 Thermodynamic Properties of Pure Fluids |
|
345 | (100) |
|
|
345 | (1) |
|
|
345 | (1) |
|
|
346 | (1) |
|
7.3 James Clark Maxwell, 1831-1879 Relations |
|
|
347 | (10) |
|
7.3.1 First Maxwell Relation |
|
|
347 | (1) |
|
7.3.2 Second Maxwell Relation |
|
|
348 | (1) |
|
7.3.3 Third Maxwell Relation |
|
|
349 | (4) |
|
7.3.4 Fourth Maxwell Relation |
|
|
353 | (3) |
|
7.3.5 Summary of Relations |
|
|
356 | (1) |
|
7.4 Generalized Relations |
|
|
357 | (17) |
|
7.4.1 Entropy (ds) Relation |
|
|
357 | (10) |
|
7.4.1.1 First "ds" Relation |
|
|
357 | (1) |
|
7.4.1.2 Second "ds" Relation |
|
|
357 | (1) |
|
7.4.1.3 Third "ds" Relation |
|
|
358 | (9) |
|
7.4.2 Internal Energy (du) Relation |
|
|
367 | (3) |
|
7.4.3 Enthalpy (dh) Relation |
|
|
370 | (2) |
|
7.4.4 Relation for (cp—cv) |
|
|
372 | (1) |
|
7.4.5 Internal Energy and Entropy of Photons |
|
|
373 | (1) |
|
7.5 Evaluation of Thermodynamic Properties |
|
|
374 | (18) |
|
|
374 | (4) |
|
|
378 | (3) |
|
|
381 | (1) |
|
|
381 | (3) |
|
|
384 | (5) |
|
7.5.6 Gibbs Free Energy or Chemical Potential |
|
|
389 | (3) |
|
7.5.7 Fugacity Coefficient |
|
|
392 | (1) |
|
|
392 | (2) |
|
7.7 Kesler Equation of State (KES) and Kesler Tables |
|
|
394 | (1) |
|
|
395 | (6) |
|
7.8.1 Fugacity Coefficient |
|
|
395 | (2) |
|
|
395 | (1) |
|
7.8.1.2 Generalized State Equation |
|
|
396 | (1) |
|
|
397 | (1) |
|
|
398 | (1) |
|
7.8.4 Subcooled and Superheated Liquid |
|
|
398 | (1) |
|
|
399 | (2) |
|
7.9 Experiments to Measure (uo — u) |
|
|
401 | (2) |
|
7.10 Vapor/Liquid Equilibrium Curve |
|
|
403 | (20) |
|
7.10.1 Minimization of Potentials |
|
|
403 | (4) |
|
7.10.1.1 Helmholtz Free Energy A at Specified T, V, and in |
|
|
403 | (3) |
|
7.10.1.2 G at Specified T, P, and m |
|
|
406 | (1) |
|
7.10.2 Real Gas Equations |
|
|
407 | (4) |
|
7.10.2.1 Graphical Solution |
|
|
407 | (3) |
|
7.10.2.2 Approximate Solution |
|
|
410 | (1) |
|
7.10.3 Heat of Vaporization |
|
|
411 | (2) |
|
7.10.4 Vapor Pressure and the Clapeyron Equation |
|
|
413 | (4) |
|
|
413 | (3) |
|
|
416 | (1) |
|
|
416 | (1) |
|
7.10.5 Empirical Relations |
|
|
417 | (2) |
|
7.10.5.1 Saturation Pressures |
|
|
417 | (1) |
|
7.10.5.2 Enthalpy of Vaporization |
|
|
417 | (2) |
|
7.10.6 Saturation Relations with Surface Tension Effects |
|
|
419 | (4) |
|
7.10.7 Pitzer Factor from Saturation Relations |
|
|
423 | (1) |
|
7.11 Throttling Processes |
|
|
423 | (15) |
|
7.11.1 Joule—Thomson Coefficient |
|
|
423 | (2) |
|
7.11.1.1 Evaluation of μJT |
|
|
424 | (1) |
|
7.11.2 Isentropic Cooling |
|
|
425 | (2) |
|
7.11.3 Temperature Change during Throttling |
|
|
427 | (2) |
|
7.11.3.1 Incompressible Fluid |
|
|
427 | (1) |
|
|
428 | (1) |
|
|
428 | (1) |
|
7.11.4 Enthalpy Correction Charts and Joule—Thomson Coefficient |
|
|
429 | (1) |
|
|
430 | (3) |
|
|
430 | (3) |
|
|
433 | (1) |
|
7.11.5.3 Empirical Relations |
|
|
433 | (1) |
|
7.11.6 Throttling of Saturated or Subcooled Liquids |
|
|
433 | (1) |
|
7.11.7 Throttling of Vapors |
|
|
434 | (1) |
|
7.11.8 Throttling in Closed Systems |
|
|
434 | (4) |
|
7.11.8.1 Temperature Change Using Real Gas Equation |
|
|
435 | (2) |
|
7.11.8.2 Euken Coefficient: Throttling at Constant Volume |
|
|
437 | (1) |
|
|
438 | (1) |
|
7.12 Development of Thermodynamic Tables |
|
|
438 | (5) |
|
7.12.1 Procedure for Determining Thermodynamic Properties |
|
|
438 | (4) |
|
|
442 | (1) |
|
|
443 | (2) |
8 Thermodynamic Properties of Mixtures |
|
445 | (58) |
|
|
445 | (1) |
|
|
445 | (1) |
|
8.2 Generalized Relations and Partial and Mixture Molal Properties |
|
|
446 | (9) |
|
8.2.1 Mixture Composition |
|
|
446 | (2) |
|
|
446 | (1) |
|
|
446 | (1) |
|
|
446 | (1) |
|
|
446 | (1) |
|
|
447 | (1) |
|
8.2.1.6 Molecular Weight of a Mixture |
|
|
447 | (1) |
|
8.2.1.7 Mixture Molal Property (b) |
|
|
447 | (1) |
|
8.2.2 Generalized Relations |
|
|
448 | (1) |
|
8.2.3 Partial Molal Property and Characteristics |
|
|
448 | (7) |
|
8.2.3.1 Partial Molal Property |
|
|
448 | (1) |
|
8.2.3.2 Euler and Gibbs—Duhem Equations |
|
|
449 | (1) |
|
8.2.3.3 Characteristics of Partial Molal Properties |
|
|
450 | (2) |
|
8.2.3.4 Physical Interpretation of Partial Molal Property |
|
|
452 | (1) |
|
8.2.3.5 Partial Molal Property and Intermolecular Potential in Mixtures |
|
|
453 | (2) |
|
8.3 Useful Relations for Partial Molal Properties |
|
|
455 | (8) |
|
|
455 | (1) |
|
8.3.2 Multicomponent Mixture |
|
|
456 | (5) |
|
8.3.3 Relations between Partial Molal and Pure Properties |
|
|
461 | (2) |
|
8.3.3.1 Partial Molal Enthalpy and Gibbs Function |
|
|
461 | (1) |
|
8.3.3.2 Differentials of Partial Molal Properties |
|
|
461 | (2) |
|
8.3.3.3 Maxwell's Relations |
|
|
463 | (1) |
|
|
463 | (4) |
|
|
463 | (1) |
|
|
464 | (1) |
|
|
465 | (1) |
|
|
465 | (1) |
|
|
466 | (1) |
|
|
467 | (1) |
|
|
467 | (2) |
|
|
467 | (1) |
|
8.5.2 Internal Energy and Enthalpy |
|
|
467 | (1) |
|
|
467 | (1) |
|
|
468 | (1) |
|
|
469 | (11) |
|
8.6.1 Fugacity and Activity |
|
|
469 | (1) |
|
8.6.2 Approximate Solutions for gk |
|
|
470 | (14) |
|
8.6.2.1 Ideal Solution or the Lewis—Randall Model (LR) |
|
|
470 | (1) |
|
|
470 | (1) |
|
8.6.2.3 Standard States and Gibbs Function |
|
|
471 | (2) |
|
8.6.2.4 Evaluation of the Activity of a Component in a Mixture |
|
|
473 | (1) |
|
8.6.2.5 Activity Coefficient |
|
|
473 | (1) |
|
8.6.2.6 Fugacity Coefficient Relation in Terms of State Equation for P |
|
|
474 | (1) |
|
8.6.2.7 Duhem—Margules Relation |
|
|
475 | (4) |
|
8.6.2.8 Relations among Gibbs Function, Fugacity, and Enthalpy |
|
|
479 | (1) |
|
|
480 | (4) |
|
|
484 | (5) |
|
|
484 | (2) |
|
|
486 | (3) |
|
8.9 Molal Properties Using the Equations of State |
|
|
489 | (12) |
|
8.9.1 Mixing Rules for Equations of State |
|
|
489 | (7) |
|
|
489 | (2) |
|
|
491 | (1) |
|
8.9.1.3 RK Mixing and Empirical Mixing Rules |
|
|
492 | (1) |
|
8.9.1.4 Peng—Robinson Equation of State |
|
|
493 | (1) |
|
8.9.1.5 Marti n—Hou Equation of State |
|
|
494 | (1) |
|
8.9.1.6 Virial Equation of State for Mixtures |
|
|
494 | (1) |
|
8.9.1.7 Law of Additive Pressure |
|
|
494 | (1) |
|
8.9.1.8 Law of Additive Volumes (LAV) |
|
|
495 | (1) |
|
8.9.1.9 Pitzer Factor for a Mixture |
|
|
496 | (1) |
|
8.9.2 Partial Molal Properties Using Mixture State Equations |
|
|
496 | (8) |
|
|
496 | (4) |
|
|
500 | (1) |
|
|
501 | (2) |
9 Phase Equilibrium for a Mixture |
|
503 | (42) |
|
|
503 | (1) |
|
|
503 | (1) |
|
9.2 Miscible, Immiscible, and Partially Miscible Mixture |
|
|
504 | (1) |
|
|
504 | (4) |
|
|
504 | (4) |
|
9.3.1.1 Multiphase Systems |
|
|
507 | (1) |
|
|
507 | (1) |
|
9.4 Simplified Criteria for Phase Equilibrium |
|
|
508 | (7) |
|
9.4.1 General Criteria for Any Solution |
|
|
508 | (1) |
|
9.4.2 Ideal Solution and Raoult's Law |
|
|
509 | (6) |
|
9.4.2.1 Vapor as Real Gas Mixture |
|
|
509 | (1) |
|
9.4.2.2 Vapor as Ideal Gas Mixture |
|
|
510 | (5) |
|
9.5 Pressure and Temperature Diagrams |
|
|
515 | (18) |
|
9.5.1 Completely Miscible Mixtures |
|
|
515 | (14) |
|
9.5.1.1 Liquid—Vapor Mixtures |
|
|
515 | (14) |
|
|
529 | (2) |
|
9.5.2.1 Immiscible Liquids and Miscible Gas Phase |
|
|
529 | (2) |
|
9.5.2.2 Miscible Liquids and Immiscible Solid Phase |
|
|
531 | (1) |
|
9.5.3 Partially Miscible Liquids |
|
|
531 | (2) |
|
9.5.3.1 Liquid and Gas Mixtures |
|
|
531 | (2) |
|
9.5.3.2 Liquid and Solid Mixtures |
|
|
533 | (1) |
|
9.6 Dissolved Gases in Liquids |
|
|
533 | (5) |
|
9.6.1 Single Component Gas |
|
|
534 | (1) |
|
9.6.2 Mixture of Gases and Liquids |
|
|
535 | (1) |
|
9.6.3 Approximate Solution—Henry's Law |
|
|
536 | (2) |
|
9.7 Deviations from Raoult's Law |
|
|
538 | (2) |
|
9.7.1 Evaluation of the Activity Coefficient |
|
|
539 | (1) |
|
|
540 | (1) |
|
|
540 | (5) |
|
9.9.1 Phase Rule for Single Component |
|
|
540 | (1) |
|
|
540 | (1) |
|
|
540 | (1) |
|
|
541 | (1) |
|
|
541 | (1) |
|
9.9.2 General. Phase Rule for Multicomponent Fluids |
|
|
541 | (2) |
|
9.9.3 Raoult's Law for the Vapor Phase of a Real Gas |
|
|
543 | (2) |
10 Stability |
|
545 | (44) |
|
|
545 | (1) |
|
|
545 | (2) |
|
10.2 Criteria for an Isolated System |
|
|
547 | (4) |
|
10.3 Mathematical Criterion for Stability |
|
|
551 | (21) |
|
10.3.1 Perturbation of Volume |
|
|
551 | (5) |
|
10.3.1.1 Geometrical Criterion |
|
|
551 | (1) |
|
10.3.1.2 Differential Criterion |
|
|
552 | (4) |
|
10.3.2 Perturbation of Energy |
|
|
556 | (1) |
|
10.3.3 Perturbation with Energy and Volume |
|
|
557 | (6) |
|
10.3.3.1 Single Component |
|
|
557 | (3) |
|
10.3.3.2 Multicomponent Mixture |
|
|
560 | (3) |
|
10.3.4 System with Specified Values of S, V, and m |
|
|
563 | (1) |
|
10.3.5 Perturbation in Entropy at Specified Volumes |
|
|
564 | (1) |
|
10.3.6 Perturbation in Entropy and Volume |
|
|
565 | (1) |
|
10.3.6.1 Binary and Multicomponent Mixtures |
|
|
566 | (1) |
|
10.3.7 System with Specified Values of S, P, and m |
|
|
566 | (1) |
|
10.3.8 System with Specified Values of T, V, and m |
|
|
567 | (2) |
|
10.3.8.1 Perturbations with Respect to Volume |
|
|
567 | (1) |
|
10.3.8.2 Perturbations with Respect to Temperature |
|
|
568 | (1) |
|
10.3.8.3 Perturbations with Respect to Volume and Temperature |
|
|
568 | (1) |
|
10.3.8.4 Binary and Multicomponent Mixtures |
|
|
569 | (1) |
|
10.3.9 System with Specified Values of T, P, and m |
|
|
569 | (3) |
|
10.3.9.1 Perturbations with Respect to Pressure |
|
|
569 | (1) |
|
10.3.9.2 Perturbation with Respect to Temperature |
|
|
569 | (1) |
|
10.3.9.3 Perturbations with Respect to P and T |
|
|
569 | (2) |
|
10.3.9.4 Multicomponent Systems |
|
|
571 | (1) |
|
10.4 Application to Boiling and Condensation |
|
|
572 | (7) |
|
|
573 | (2) |
|
10.4.2 Constant Temperature and Volume |
|
|
575 | (3) |
|
10.4.3 Specified Values of S, P, and m |
|
|
578 | (1) |
|
10.4.4 Specified Values of S (or U), V, and m |
|
|
578 | (1) |
|
10.5 Entropy Generation during Irreversible Transformation |
|
|
579 | (1) |
|
|
579 | (7) |
|
|
579 | (5) |
|
10.6.2 Internal Energy along Spinodal Curve |
|
|
584 | (1) |
|
10.6.3 Multicomponent Mixtures |
|
|
584 | (2) |
|
10.7 Determination of Vapor Bubble and Drop Sizes |
|
|
586 | (1) |
|
|
587 | (2) |
11 Chemically Reacting Systems |
|
589 | (34) |
|
|
589 | (1) |
|
|
589 | (1) |
|
11.2 Chemical Reactions and Combustion |
|
|
590 | (6) |
|
11.2.1 Stoichiometric or Theoretical Reaction |
|
|
590 | (2) |
|
11.2.2 Reaction with Excess Air (Lean Combustion) |
|
|
592 | (1) |
|
11.2.3 Reaction with Excess Fuel (Rich Combustion) |
|
|
592 | (1) |
|
11.2.4 Equivalence Ratio, Stoichiometric Ratio |
|
|
593 | (1) |
|
|
594 | (2) |
|
|
596 | (8) |
|
11.3.1 Enthalpy of Formation (Chemical Enthalpy) |
|
|
596 | (2) |
|
11.3.2 Thermal or Sensible Enthalpy |
|
|
598 | (1) |
|
|
599 | (1) |
|
11.3.4 Enthalpy of Reaction |
|
|
599 | (2) |
|
11.3.5 Entropy, Gibbs Function, and Gibbs Function of Formation |
|
|
601 | (3) |
|
11.4 First Law Analyses for Chemically Reacting Systems |
|
|
604 | (7) |
|
|
604 | (4) |
|
11.4.2 Adiabatic Flame Temperature |
|
|
608 | (3) |
|
11.4.2.1 Steady-State, Steady-Flow Processes in Open Systems |
|
|
608 | (1) |
|
|
609 | (2) |
|
11.4.2.3 Explicit Relation for Adiabatic Flame Temperature with Constant Specific Heats |
|
|
611 | (1) |
|
11.5 Combustion Analyses in the Case of Nonideal Behavior |
|
|
611 | (3) |
|
|
612 | (1) |
|
|
612 | (2) |
|
11.6 Second Law Analysis of Chemically Reacting Systems |
|
|
614 | (4) |
|
11.6.1 Entropy Generated during an Adiabatic Chemical Reaction |
|
|
614 | (3) |
|
11.6.2 Entropy Generated during an Isothermal Chemical Reaction |
|
|
617 | (1) |
|
11.7 Mass Conservation and Mole Balance Equations |
|
|
618 | (3) |
|
|
618 | (1) |
|
11.7.2 Steady State System |
|
|
619 | (2) |
|
11.8 Overview on Energy Consumption and Combustion |
|
|
621 | (1) |
|
|
621 | (2) |
12 Reaction Direction and Chemical Equilibrium |
|
623 | (50) |
|
|
623 | (1) |
|
|
623 | (1) |
|
12.2 Reaction Direction and Chemical Equilibrium |
|
|
624 | (4) |
|
12.2.1 Direction of Heat Transfer |
|
|
624 | (1) |
|
12.2.2 Direction of Reaction |
|
|
624 | (2) |
|
12.2.3 Evaluation of Properties during an Irreversible Chemical Reaction |
|
|
626 | (2) |
|
12.3 Criteria for Direction of Reaction for Fixed-Mass System |
|
|
628 | (14) |
|
|
628 | (2) |
|
12.3.2 Criteria in Terms of Chemical Force Potential and Affinity(Af) for Single Reaction |
|
|
630 | (9) |
|
|
630 | (2) |
|
|
632 | (1) |
|
12.3.2.3 Criteria in Terms of Equilibrium Constant K°(T) for Ideal Gas Mixtures for Single Reaction |
|
|
633 | (6) |
|
12.3.3 Criteria for Multiple Reactions |
|
|
639 | (1) |
|
12.3.4 An Approximate Criterion for Direction of Reactions |
|
|
640 | (2) |
|
12.3.5 Evaluation of ΔG° in Terms of Elementary Reactions |
|
|
642 | (1) |
|
12.4 Generalized Chemical Equilibrium Relations |
|
|
642 | (15) |
|
12.4.1 Generalized Relation for the Chemical Potential for any Substance |
|
|
642 | (1) |
|
12.4.2 Nonideal Mixtures and Solutions |
|
|
643 | (2) |
|
12.4.2.1 Standard State of an Ideal Gas at 1 Bar |
|
|
644 | (1) |
|
12.4.2.2 Standard State of a Nonideal Gas at 1 Bar |
|
|
645 | (1) |
|
12.4.3 Reactions Involving Ideal Mixtures of Liquids and Solids |
|
|
645 | (1) |
|
12.4.4 Ideal Mixture of Real Gases |
|
|
646 | (1) |
|
|
646 | (6) |
|
12.4.6 Gas, Liquid, and Solid Mixtures |
|
|
652 | (5) |
|
|
657 | (7) |
|
12.5.1 Effect of Temperature on K°(T) |
|
|
657 | (4) |
|
12.5.2 Effect of Pressure |
|
|
661 | (3) |
|
12.6 Equilibrium for Multiple Reactions |
|
|
664 | (1) |
|
12.7 Adiabatic Flame Temperature with Chemical Equilibrium |
|
|
665 | (1) |
|
12.8 Gibbs Minimization Method |
|
|
665 | (7) |
|
12.8.1 General Criteria for Equilibrium |
|
|
665 | (3) |
|
12.8.2 Multiple Components |
|
|
668 | (4) |
|
|
672 | (1) |
|
12.10 Appendix: Equilibrium Constant for any Reaction in Terms of Equilibrium Constants of Elements |
|
|
672 | (1) |
13 Availability Analysis for Reacting Systems |
|
673 | (36) |
|
|
673 | (1) |
|
|
673 | (1) |
|
13.2 Entropy Generation through Chemical Reactions |
|
|
674 | (1) |
|
|
675 | (20) |
|
13.3.1 General Availability Balance Equation for Combustion |
|
|
675 | (2) |
|
13.3.2 Availability Balance Equation for Steady-State Nonreservoir Open Combustion Systems |
|
|
677 | (3) |
|
13.3.2.1 Power Plant Work |
|
|
677 | (1) |
|
|
677 | (1) |
|
13.3.2.3 Isothermal Combustor |
|
|
677 | (3) |
|
13.3.3 Availability Balance Equation for Closed Combustion Systems |
|
|
680 | (3) |
|
13.3.4 Availability Balance for Adiabatic Systems |
|
|
683 | (4) |
|
13.3.5 Energy and Exergy of a Power Plant |
|
|
687 | (1) |
|
13.3.6 Maximum Work Using Heat Exchanger and Adiabatic Combustor |
|
|
687 | (5) |
|
13.3.6.1 Fixed TL,CE and Tad |
|
|
688 | (1) |
|
13.3.6.2 Varying cpo(T) or "Hot" Gas Assumption |
|
|
688 | (2) |
|
13.3.6.3 Constant cpo(T) or "Cold" Gas Assumption |
|
|
690 | (1) |
|
13.3.6.4 Fixed Hot Gas Temperature TH and TL |
|
|
690 | (2) |
|
13.3.7 Availability Balance for Isothermal Reactors |
|
|
692 | (3) |
|
|
695 | (1) |
|
|
695 | (7) |
|
13.4.1 Oxidation States and Electrons |
|
|
696 | (1) |
|
|
696 | (4) |
|
13.4.3 Fuel Cells with Other Fuels |
|
|
700 | (1) |
|
13.4.4 Physical Meaning of Irreversibility during Adiabatic Combustion |
|
|
701 | (1) |
|
|
702 | (4) |
|
13.5.1 Complete Combustion |
|
|
702 | (3) |
|
|
702 | (2) |
|
13.5.1.2 Ratio of Fuel Availability to LHV |
|
|
704 | (1) |
|
13.5.1.3 Exergetic Efficiency |
|
|
705 | (1) |
|
13.5.1.4 Ratio of Irreversibility to Stoichiometric Oxygen of any Fuel |
|
|
705 | (1) |
|
13.5.2 Incomplete Combustion |
|
|
705 | (1) |
|
13.6 IC Engines and Exergy |
|
|
706 | (2) |
|
|
708 | (1) |
14 Thermodynamics and Biological Systems |
|
709 | (91) |
|
|
709 | (1) |
|
|
710 | (2) |
|
|
712 | (5) |
|
14.2.1 Digestion, Nutrients, and Product Transfer |
|
|
712 | (2) |
|
|
714 | (3) |
|
14.2.2.1 Basal Metabolic Rate (BMR, qBMR) |
|
|
715 | (1) |
|
14.2.2.2 ATP (C10H16N5O13P3), ADP (C10H16N5O10P2), and AMP |
|
|
716 | (1) |
|
|
717 | (9) |
|
14.3.1 Thermochemical Properties of Nutrients |
|
|
717 | (3) |
|
14.3.1.1 Empirical Equations for Heat Values |
|
|
717 | (3) |
|
14.3.2 Metabolism of Nutrients |
|
|
720 | (3) |
|
|
721 | (1) |
|
|
722 | (1) |
|
|
722 | (1) |
|
14.3.3 Mixture of CH, F, and P |
|
|
723 | (3) |
|
14.3.3.1 Mixture of CH and F |
|
|
723 | (1) |
|
14.3.3.2 Mixture of CH, F, and P |
|
|
724 | (2) |
|
|
726 | (2) |
|
|
726 | (2) |
|
14.4.2 Food Consumption and CO2 |
|
|
728 | (1) |
|
|
728 | (7) |
|
14.5.1 Daily Energy Expenditure (DEE) and Energy for Physical Activity |
|
|
728 | (1) |
|
|
729 | (3) |
|
14.5.2.1 Digestive Efficiency (ηdig) |
|
|
729 | (1) |
|
14.5.2.2 The Metabolized Energy Coefficient (ηMEC) |
|
|
729 | (1) |
|
14.5.2.3 Metabolic Efficiency (ηmet)) |
|
|
729 | (1) |
|
14.5.2.4 ATP to ADP and AMP Conversions |
|
|
730 | (1) |
|
14.5.2.5 Muscular Work Efficiency (ηmusc) |
|
|
731 | (1) |
|
14.5.2.6 Overall Efficiency (ηoverall) |
|
|
732 | (1) |
|
|
732 | (3) |
|
|
732 | (1) |
|
14.5.3.2 BMR Estimation Formulas |
|
|
733 | (2) |
|
14.5.4 Energy Requirements |
|
|
735 | (1) |
|
14.6 Thermochemistry of Metabolism in BS |
|
|
735 | (17) |
|
|
736 | (3) |
|
14.6.2 Nasal Gas Analyses and Fuel Burned |
|
|
739 | (3) |
|
14.6.2.1 Fuel Composition |
|
|
739 | (3) |
|
|
742 | (3) |
|
|
742 | (3) |
|
14.6.4 Energy Conservation |
|
|
745 | (4) |
|
14.6.5 First Law and Relation between Metabolic Rate and Size |
|
|
749 | (3) |
|
14.6.5.1 Specific Metabolism |
|
|
750 | (1) |
|
14.6.5.2 Effect of Body Size |
|
|
751 | (1) |
|
14.7 Heat Transfer Analysis from the Body |
|
|
752 | (7) |
|
|
754 | (1) |
|
|
755 | (1) |
|
|
755 | (1) |
|
14.7.3.1 Wadden and Scheff Equation |
|
|
756 | (1) |
|
|
756 | (1) |
|
14.7.5 Evaporation of Body Water |
|
|
756 | (1) |
|
14.7.5.1 Evaporation Models |
|
|
756 | (1) |
|
|
757 | (2) |
|
14.8 Body Temperature and Warm and Cold Blooded Animals |
|
|
759 | (6) |
|
14.8.1 Temperature Regulation |
|
|
759 | (2) |
|
14.8.2 Warm- and Cold-Blooded Animals |
|
|
761 | (1) |
|
|
762 | (1) |
|
|
763 | (2) |
|
|
764 | (1) |
|
|
764 | (1) |
|
14.9 Second Law and Entropy Generation in BS |
|
|
765 | (2) |
|
|
765 | (1) |
|
14.9.2 Entropy Generation |
|
|
766 | (1) |
|
14.10 Entropy Generation through Chemical Reactions |
|
|
767 | (10) |
|
14.10.1 Entropy Balance Equation |
|
|
767 | (4) |
|
14.10.2 Availability Balance Equation, Availability and Metabolic Efficiencies |
|
|
771 | (6) |
|
14.11 Life Span and Entropy |
|
|
777 | (11) |
|
14.11.1 Energy, Entropy, and Biology |
|
|
778 | (1) |
|
14.11.2 Energy Hypothesis or Rate of Living Theory (ROL) |
|
|
778 | (2) |
|
14.11.3 Entropy Hypothesis |
|
|
780 | (1) |
|
14.11.4 Phenomenological Analyses |
|
|
781 | (4) |
|
14.11.4.1 Energy Hypothesis |
|
|
781 | (1) |
|
14.11.4.2 Entropy Hypothesis |
|
|
782 | (3) |
|
14.11.5 Entropy Generation and Life Span |
|
|
785 | (3) |
|
|
788 | (11) |
|
|
788 | (1) |
|
|
789 | (4) |
|
14.12.3 Allometry Laws: Simplified Analysis for the Scaling Laws |
|
|
793 | (6) |
|
|
799 | (1) |
Acknowledgment |
|
800 | (1) |
References |
|
800 | (3) |
Web Sites |
|
803 | (2) |
Problems |
|
805 | (88) |
A Summary of Chapterwise Formulae |
|
893 | (32) |
Appendix A: Tables |
|
925 | (148) |
Appendix B: Figures |
|
1073 | (8) |
Bibliography |
|
1081 | (6) |
Index |
|
1087 | |