About This Book |
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xi | |
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1 Temperature and Thermal Equation of State |
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1 | (14) |
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2 | (4) |
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1.1.1 System, Environment, Boundary |
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2 | (1) |
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1.1.2 State and Equilibrium |
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2 | (2) |
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4 | (1) |
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1.1.4 Extensive and Intensive Variables |
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5 | (1) |
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1.2 Zeroth Law and Temperature |
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6 | (4) |
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7 | (1) |
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8 | (1) |
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1.2.3 Thermal Equation of an Homogeneous System |
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9 | (1) |
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1.3 Behavior in the Limit of Null Pressure |
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10 | (3) |
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1.3.1 Ideal Gas Temperature |
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11 | (1) |
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1.3.2 Empirical Laws at Low Pressures |
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12 | (1) |
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13 | (2) |
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15 | (16) |
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16 | (3) |
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2.1.1 Mechanical Work Associated to Volume Variation |
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17 | (1) |
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2.1.2 Other Kinds of Work |
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17 | (1) |
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2.1.3 Example of Calculating the Work Associated to Variation of Volume |
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18 | (1) |
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2.2 First Law and Internal Energy |
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19 | (4) |
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2.2.1 Properties of the Internal Energy |
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20 | (1) |
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2.2.2 Examples: First Law in Moving Systems |
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21 | (2) |
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23 | (1) |
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2.3.1 Measuring Internal Energy and Enthalpy |
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23 | (1) |
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24 | (2) |
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2.4.1 Caloric Coeff cients |
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24 | (1) |
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2.4.2 Properties of the Caloric Coeff cients |
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24 | (1) |
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2.4.3 Caloric Equation of the Ideal Gas |
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25 | (1) |
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2.5 First Law and Typical Processes with Ideal Gases |
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26 | (1) |
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2.5.1 Constant Volume Process: V = const. |
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26 | (1) |
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2.5.2 Constant Pressure Process: P = const. |
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26 | (1) |
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2.5.3 Constant Temperature Process: T = const. |
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26 | (1) |
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2.5.4 Adiabatic Process: Q = 0 |
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27 | (1) |
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2.5.5 Example: The only equation for adiabatic processes is Q = 0 |
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27 | (1) |
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2.6 Polytropic Processes: PVk = const. |
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27 | (1) |
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2.7 Caloric Equation in Gases at Null Pressure |
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28 | (3) |
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31 | (24) |
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3.1 Purpose of the Second Law |
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32 | (1) |
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3.2 Entropy and Second Law |
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32 | (1) |
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33 | (1) |
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3.4 Common Statements of the Second Law |
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33 | (1) |
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3.5 Thermodynamic Temperature |
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34 | (6) |
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3.5.1 Considerations on Bi-thermal Engines and Second Law |
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34 | (1) |
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35 | (3) |
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3.5.3 Existence of Thermodynamic Temperature |
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38 | (2) |
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3.6 Clausius' Equality and Inequality |
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40 | (2) |
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3.7 Entropy and Entropy Balance |
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42 | (6) |
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3.7.1 Some General Properties and Aspects Regarding S |
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43 | (1) |
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3.7.2 Entropy Balance in Adiabatic Processes |
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43 | (1) |
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3.7.3 Entropy Balance in Compound Systems |
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44 | (3) |
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3.7.4 Increment of Entropy in Non-static Processes |
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47 | (1) |
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3.8 Gibbs' Equation and Jacobian Relation |
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48 | (2) |
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48 | (1) |
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49 | (1) |
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3.8.3 Caloric Coeff cients as a Function of the Thermal Equation |
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49 | (1) |
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3.8.4 Thermodynamic Temperature and Ideal Gas Temperature |
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49 | (1) |
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3.9 Variation of Entropy of an Ideal Gas |
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50 | (1) |
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50 | (5) |
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3.10.1 Properties of Exergy |
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52 | (1) |
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52 | (3) |
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4 Thermodynamic Potentials |
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55 | (6) |
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4.1 Thermodynamic Potentials |
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56 | (2) |
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4.1.1 U(S, V) Is a Characteristic Equation |
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56 | (1) |
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4.1.2 Determination of the Thermodynamical Potentials |
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56 | (1) |
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4.1.3 The Gibbs Equations |
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57 | (1) |
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4.1.4 Minimum Information |
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58 | (1) |
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4.2 Partial Derivatives and Minimum Information |
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58 | (3) |
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4.2.1 Derivation Tree of Potentials |
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58 | (1) |
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4.2.2 Relations between Partial Derivatives |
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59 | (2) |
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5 Statistical Thermodynamics and Third Law |
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61 | (18) |
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5.1 Goal of Statistical Thermodynamics |
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62 | (1) |
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5.2 Characteristic Equations |
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63 | (1) |
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63 | (2) |
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63 | (1) |
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5.3.2 Gibbs Ensembles and the Ergodic Conjecture |
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64 | (1) |
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65 | (1) |
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5.4 The Canonical Ensemble |
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65 | (8) |
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5.4.1 Relation between Microscopical Variables and QR, WR |
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67 | (1) |
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5.4.2 Relation between Probabilities and S |
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68 | (1) |
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69 | (1) |
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5.4.4 The Ideal Gas. Determination of k |
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70 | (2) |
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72 | (1) |
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5.5 Entropy and Ω. The Boltzmann's Principle |
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73 | (1) |
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74 | (5) |
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5.6.1 The Unattainability of Absolute Zero Theorem |
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75 | (1) |
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5.6.2 Planck's Formulation |
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75 | (1) |
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5.6.3 Nernst Heat Theorem |
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76 | (1) |
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5.6.4 Some Consequences of the Third Law |
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77 | (2) |
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79 | (14) |
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79 | (1) |
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6.2 Overview of the Behavior of Pure Substances |
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79 | (6) |
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6.2.1 Description of the PvT Surface |
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82 | (3) |
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6.3 Thermodynamical Formulation of Heterogeneous States |
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85 | (3) |
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6.3.1 Conditions for Multiphase Equilibria |
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85 | (1) |
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6.3.2 Def nition of Heterogeneous States |
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86 | (1) |
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6.3.3 Calculation of Property Changes in a Change of Phase |
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87 | (1) |
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6.4 Substances outside Stable Equilibrium |
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88 | (2) |
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6.5 Example of Thermodynamic Calculation with Heterogeneous System |
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90 | (3) |
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7 Calculation of Thermodynamic Properties |
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93 | (12) |
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93 | (3) |
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93 | (3) |
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7.1.2 Illustrative Examples |
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96 | (1) |
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96 | (3) |
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7.2.1 Variation of Fugacity |
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98 | (1) |
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7.2.2 Equilibrium between Phases |
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98 | (1) |
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7.2.3 Fugacity of Condensed Phases |
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99 | (1) |
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7.3 Calculation of Thermodynamic Properties from Generalized Equations |
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99 | (6) |
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7.3.1 Tabular Data for the Compressibility Factor |
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99 | (2) |
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7.3.2 Tabular Data for Discrepancies and Fugacity Coeff cient |
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101 | (4) |
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105 | (18) |
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105 | (1) |
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8.1.1 General Considerations |
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105 | (1) |
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8.1.2 General Methodology |
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106 | (1) |
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106 | (1) |
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107 | (1) |
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108 | (1) |
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109 | (1) |
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109 | (1) |
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8.5.2 Physical Meaning of Flow Exergy |
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110 | (1) |
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8.6 General Equations in Stationary Processes |
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110 | (1) |
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111 | (1) |
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8.8 Processes with no Work |
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112 | (4) |
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8.8.1 Adiabatic Flow in Ducts |
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112 | (1) |
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8.8.2 Bernoulli's Equation |
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113 | (1) |
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8.8.3 Heat Exchanger and Boilers |
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114 | (2) |
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116 | (4) |
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8.9.1 Adiabatic Processes |
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116 | (1) |
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8.9.2 Non-Adiabatic Processes |
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116 | (2) |
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118 | (2) |
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8.10 Filling and Discharging of Vessels |
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120 | (1) |
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8.11 Other Non-Stationary Processes |
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120 | (3) |
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123 | (18) |
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124 | (1) |
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9.2 Chemical Potential and Generalized Gibbs' Equations |
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124 | (1) |
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9.3 Partial Molar Properties |
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125 | (3) |
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9.3.1 Gibbs-Duhem Relation |
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126 | (1) |
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9.3.2 Determination of Partial Molar Properties in Binary Systems |
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127 | (1) |
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9.3.3 Thermodynamic Relations Among Partial Molar Properties |
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127 | (1) |
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128 | (1) |
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9.5 Fugacity and Fugacity Coeff cient of a Component in a Mixture |
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129 | (1) |
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9.6 Activity and Activity Coeff cient |
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129 | (1) |
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9.7 Lewis-Randall Ideal Mixture |
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130 | (3) |
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9.7.1 Ideal Gases Mixture |
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131 | (2) |
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133 | (2) |
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9.9 Very Dilute Solution (Henry's Model) |
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135 | (1) |
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9.10 Equilibrium Conditions |
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136 | (5) |
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9.10.1 Practical Equilibrium Formulation |
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137 | (1) |
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138 | (3) |
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141 | (18) |
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142 | (1) |
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10.2 Extent of Reaction and Mole Balance |
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143 | (1) |
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10.3 Partial Function of Reaction |
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144 | (1) |
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10.4 Standard Function of Reaction |
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144 | (2) |
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10.5 Computing the Change of a Function ΔZ in a Reactive System |
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146 | (1) |
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147 | (2) |
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10.7 Chemical Equilibrium Condition |
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149 | (6) |
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10.7.1 Practical Equation of Chemical Equilibrium |
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150 | (1) |
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10.7.2 Calculation of Equilibrium Constant |
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151 | (1) |
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10.7.3 Calculation of Equilibrium Composition |
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151 | (2) |
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10.7.4 Inf uence of P and T in the Equilibrium Extent of Reaction |
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153 | (2) |
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10.8 Heterogeneous Systems |
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155 | (1) |
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10.9 Several Simultaneous Reactions Systems |
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156 | (1) |
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156 | (3) |
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11 Thermodynamic Industrial Processes |
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159 | (20) |
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159 | (1) |
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11.2 Rankine Simple Cycle Direct and Reverse |
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160 | (4) |
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11.2.1 Detailed Study of the Simple Rankine Thermal Cycle |
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162 | (1) |
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11.2.2 Detailed Study of the Simple Rankine Reverse Cycle |
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163 | (1) |
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11.3 Improvement Guidelines for Rankine Cycles |
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164 | (8) |
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11.3.1 Improvements for the Thermal Rankine Cycle: Regenerative Preheating and Middle Preheating |
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165 | (4) |
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11.3.2 Improvements in the Reverse Rankine Cycle: Regenerative Sub-cooling and Compression in Two Stages |
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169 | (3) |
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172 | (1) |
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172 | (3) |
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175 | (4) |
Index |
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