#thermodynamics — Public Fediverse posts

Chemical Thermodynamics by M.Kh. Karapetyants

The book is primarily aimed at students in higher education specialising in chemistry, particularly future engineers. The author has avoided unnecessary abstraction and overly complex mathematics to ensure the material remains practical and accessible, while still providing a solid theoretical foundation. The content includes approximate laws that allow for quick, practical problem-solving, even when precise values are unavailable. The author integrates empirical thermodynamics with the periodic table to make thermodynamic concepts more comprehensible, particularly entropy, which students often find difficult to grasp.

The book also addresses the importance of connecting thermodynamics with other branches of chemistry, such as general and inorganic chemistry, to enhance students’ understanding for later courses. The primary focus is on the thermodynamics of gaseous systems, with less emphasis on solutions and electrolytes. Numerous examples, mainly related to inorganic substances and chemical processing, help students apply theory to practical problems, with calculations that can be compared to experimental data. The book also includes many tables and figures derived from various sources to support these applications.

Translated from the Russian by G. Leib

Credits to the original uploaders, this is a cleaned optimised scan.

You can get the book here and here

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Contents

List of Tables 11
Preface 13
Chapter 1. INTRODUCTION 15
1.1. The Subject and Method of Thermodynamics 15
1.2. Basic Concepts and Definitions 17
1.2.1. Systems and Their Classification 17
1.2.2. Thermodynamic Parameters 18
1.2.3. Work and Heat 22
1.2.4. Reversible and Irreversible Processes 23
1.2.5. Mathematical Relations Between the Parameters of State 28
1.3. Terms and Symbols 33
Chapter 2. THE FIRST LAW OF THERMODYNAMICS 35
2.1. Content of the First Law 35
2.1.1. Cyclic Processes 35
2.1.2. Non-Cyclic Processes. Internal Energy 36
2.2. Enthalpy 41
Chapter 3. HEAT EFFECTS AND HEAT CAPACITIES 45
3.1. Hess’s Law 45
3.2. Standard Heat Effects 49
3.3. Some Methods of Calculating Heat Effects 53
3.3.1. Heats of Formation 53
3.3.2. Heats of Combustion 57
3.3.3. Comparative Calculation of Heat Effects 58
3.4. Heat Capacity 58
3.4.1. Heat Capacity in Different Processes 58
3.4.2. Temperature Dependence of Heat Capacity 61
3.4.3. Certain Laws 71
3.5. Temperature Dependence of Heat Effect 73
3.5.1. Kirchhoff Equation 73
3.5.2. Equation AH = <p(T) in Its Final Form 77
3.5.3. Heat Balance 84
Chapter 4. THE SECOND LAW OF THERMODYNAMICS 87
4.1. Content of the Second Law 87
4.1.1. The Carnot Cycle 87
4.1.2. Thermodynamic Temperature Scale 91
4.1.3. Impossibility of a Perpetual Motion Machine 92
4.2. Entropy 94
4.2.1. Change in Entropy in Reversible Processes 95
4.2.2. Change in Entropy in Irreversible Processes 97
4.2.3. Change in Entropy as a Criterion of the Equilibrium and Spontaneity of Processes 98
4.2.4. Relation Between Entropy and Other Thermodynamic Parameters and Some Relationships Between Derived Functions 102
4.3. Substantiation of the Second Law 106
4.3.1. Thermodynamic Probability of a State 106
4.3.2. Phase Space 106
4.3.3. Relationship Between Entropy and Thermodynamic Probability 108
4.3.4. Fluctuations 110
4.3.5. The Invalidity of the “Theory of Heat Death” of the Universe 112
Chapter 5. THERMODYNAMIC AND CHEMICAL POTENTIALS. THE GENERAL CONDITIONS OF EQUILIBRIUM 114
5.1. Thermodynamic Potentials 114
5.1.1. Change in Thermodynamic Potential as a Criterion of the Equilibrium and Spontaneous Nature of a Process 119
5.1.2. Various Thermodynamic Relationships 121
5.2. Characteristic Functions 123
5.3. Chemical Potential 128
5.4. General Conditions of Equilibrium 131
5.4.1. Stable and Unstable Equilibria 132
5.4.2. Equilibrium Coexistence of Phases. The Gibbs Phase Rule 134
5.4.3. Principle of Displacement of Equilibrium 139
Chapter 6. ONE-COMPONENT HOMOGENEOUS SYSTEMS 141
6.1. Ideal Gas 141
6.2. Equations of State of a Real Gas 150
6.3. Fugacity 159
6.3.1. Standard State 160
6.3.2. Temperature Dependence of Fugacity 162
6.3.3. Methods of Calculating Fugacity 163
6.4. Throttling 168
6.5. Calculation of Properties of Gases According to Experimental Data 175
6.5.1. Calculations Using the Relationships p-V-T and Cp = q>(T) 175
6.5.2. Calculations Using the Relationships Cp = <p(p, T) or H = q(p, T) and VT> = 9 (p) 184
6.5.3. Calculations Using (ij and C9 185
6.5.4. Influence of Pressure on the Heat Effect of a Reaction 185
6.6. A Generalized Method of Calculating Selected Properties of Gases and Liquids at Pressures above Atmospheric 186
6.6.1. Gases 186
6.6.2. Liquids 199
Chapter 7. ONE-COMPONENT HETEROGENEOUS SYSTEMS 205
7.1. Relationship Between Temperature and Pressure with Coexisting Phases 205
7.1.1. Clapeyron-Clausius Equation 205
7.1.2. Approximate Relationships 209
7.2. Methods for the Comparative Calculation of the Temperature Dependence of the Saturated Vapour Pressure 214
7.2.1. Straight Line Method 215
7.2.2. Method of Comparing Boiling Points of Given and Standard Substances at Equal Vapour Pressures 216
7.2.3. Method of Comparing Vapour Pressures of Various Substances at Equal Boiling Points 218
7.2.4. Method of Comparing Vapour Pressures of Various Substances at Equal Reduced Boiling Points 220
7.3. Critical State 221
7.4. Heat Capacities of Coexisting Phases and Heats of Phase Transitions 227
7.4.1. Heat Capacities of Coexisting Phases 227
7.4.2. Heats of Phase Transitions 232
7.5. Influence of Total Pressure on Saturated Vapour Pressure 244
7.6. Influence of Surface Curvature on Saturated Vapour Pressure 247
7.7. Second-Order Phase Transitions 249
Chapter 8. SOLUTIONS 251
8.1. Fundamental Concepts and Definitions 251
8.2. Partial Molar Quantities 255
8.2.1. Basic Equations 257
8.2.2. Methods of Calculation 260
8.3. Heat Capacities and Enthalpies of Solutions 264
8.3.1. Partial Molar Heat Capacities 264
8.3.2. Partial Molar Enthalpies 265
8.4. Ideal Solutions 272
8.5. Infinitely Dilute Solutions 278
8.5.1. Partial Molar Quantities 279
8.5.2. Henry’s Law 281
Chapter 9. BINARY SOLUTION-PURE COMPONENT EQUILIBRIUM 285
9.1. Relationship Between Temperature and Concentration 285
9.1.1. Solution-Solid Component Equilibrium 287
9.1.2. Analysis of Solubility Diagrams 292
9.1.3. Solution-Gas Equilibrium 304
9.2. Relationship Between Pressure and Concentration 305
9.2.1. Solution-Solid Component Equilibrium 306
9.2.2. Solution-Gas Equilibrium 307
9.3. Gas Mixture-Pure Component Equilibrium 317
9.4. Influence of Dispersion on Solubility 318
Chapter 10. SOLUTION-SOLUTION EQUILIBRIUM IN BINARY MIXTURES 319
10.1. Liquid-Gas Equilibrium for Completely Miscible Liquids at Low Pressures 319
10.1.1. Ideal Solution-Mixture of Ideal Gases 319
10.1.2. Non-Ideal Solution-Mixture of Ideal Gases 322
10.1.3. Separation of Solution Components 332
10.2. Liquid-Gas Equilibrium for Completely Miscible Liquids at High Pressures 334
10.2.1. Critical Phenomena 341
10.3. Equilibrium in Systems with Incompletely Miscible Liquids 349
10.3.1. Liquid-Gas Equilibrium 349
10.3.2. Liquid-Liquid Equilibrium 351
10.3.3. Gas-Gas Equilibrium 352
10.4. Liquid-Gas Equilibrium for Immiscible Liquids 355
Chapter 11. EQUILIBRIUM IN THREE- AND FOUR-COMPONENT SYSTEMS 359
11.1. Depicting Composition 359
11.1.1. Three-Component Systems 359
11.1.2. Four-Component Systems 361
11.2. Liquid-Solid Equilibrium in Three-Component Systems 362
11.2.1. Substances Forming No Compounds 362
11.2.2. Substances Forming Compounds 366
11.2.3. Isotherms of Aqueous Solutions of Two Common-Ion Salts 367
11.3. Mutual Solubility of Three Liquids 385
11.4. Liquid-Gas Equilibrium in Ternary Systems 391
11.4.1. Isotherm 391
11.4.2. Is

obaric Systems 399
Chapter 12. THE PRINCIPLE OF MAXIMUM ENTROPY 405
12.1. Entropy as a Thermodynamic Function 405
12.2. Method of Maximum Entropy 410
12.3. Application of the Maximum Entropy Principle in Thermodynamics 414
Chapter 13. MODERN CONCEPTS OF THERMODYNAMICS 419
13.1. Thermodynamic Models 419
13.2. Relations with Other Areas of Science 421
13.3. Role of Thermodynamics in Physical Chemistry 424
13.4. Applications of Thermodynamics in Industry 427
13.5. Advanced Topics in Thermodynamics 430

Chapter 14. EQUILIBRIUM TRANSFORMATION 518

14.1. Direction of a Process 518

14.2. Calculation of Equilibrium Transformation 527

14.2.1. Reactions in the Gaseous Phase 528

14.2.2. Reactions in Solutions 531

14.2.3. Heterogeneous Reactions 533

14.2.4. Electrochemical Reactions 537

14.3. Influence of Various Factors on the Extent of a Reaction 541

14.3.1. Temperature 541

14.3.2. Pressure 545

14.3.3. Presence of an Inert Gas 548

14.3.4. Ratio of Reactants 549

14.3.5. Change in Surface Area 550

14.3.6. Kind of Reaction 552

14.4. Equilibrium in Complex Chemical Systems 553

14.5. Sources of Errors in Calculating Equilibrium 562

14.5.1. Errors Due to Inaccuracy of Experimental Data 562

14.5.2. Errors Connected with the Processing of Experimental Data 564

14.6. Theoretical and Practical Extents of a Reaction 566

Chapter 15. FUNDAMENTALS OF QUANTUM STATISTICAL CALCULATIONS OF THERMODYNAMIC FUNCTIONS AND CHEMICAL EQUILIBRIUM FROM SPECTROSCOPIC DATA 568

15.1. Introduction 568

15.2. Thermodynamic Properties of Gases Due to Translational Degrees of Freedom 572

15.3. Thermodynamic Properties of Gases Due to Intramolecular Degrees of Freedom 575

15.3.1. Rotational Partition Function 577

15.3.2. Vibrational Partition Function 583

15.3.3. Partition Function for Electronic Excitation 587

15.3.4. Nuclear Spin 588

15.3.5. Effect of Isotopic Composition 589

15.3.6. Group of Properties 589

15.4. Calculation of Chemical Equilibrium 592

APPENDICES 599

List of Symbols 599

Heat Capacities, Standard Enthalpies and Gibbs Energies of

Chemical Thermodynamics by M.Kh. Karapetyants

The book is primarily aimed at students in higher education specialising in chemistry, particularly future engineers. The author has avoided unnecessary abstraction and overly complex mathematics to ensure the material remains practical and accessible, while still providing a solid theoretical foundation. The content includes approximate laws that allow for quick, practical problem-solving, even when precise values are unavailable. The author integrates empirical thermodynamics with the periodic table to make thermodynamic concepts more comprehensible, particularly entropy, which students often find difficult to grasp.

The book also addresses the importance of connecting thermodynamics with other branches of chemistry, such as general and inorganic chemistry, to enhance students’ understanding for later courses. The primary focus is on the thermodynamics of gaseous systems, with less emphasis on solutions and electrolytes. Numerous examples, mainly related to inorganic substances and chemical processing, help students apply theory to practical problems, with calculations that can be compared to experimental data. The book also includes many tables and figures derived from various sources to support these applications.

Translated from the Russian by G. Leib

Credits to the original uploaders, this is a cleaned optimised scan.

You can get the book here and here

Follow us on

Twitter https://x.com/MirTitles

Mastadon https://mastodon.social/@mirtitles

Bluesky https://bsky.app/profile/mirtitles.bsky.social

Tumblr https://www.tumblr.com/mirtitles

Internet Archive https://archive.org/details/mir-titles

Fork us on gitlab https://gitlab.com/mirtitles

Contents

List of Tables 11
Preface 13
Chapter 1. INTRODUCTION 15
1.1. The Subject and Method of Thermodynamics 15
1.2. Basic Concepts and Definitions 17
1.2.1. Systems and Their Classification 17
1.2.2. Thermodynamic Parameters 18
1.2.3. Work and Heat 22
1.2.4. Reversible and Irreversible Processes 23
1.2.5. Mathematical Relations Between the Parameters of State 28
1.3. Terms and Symbols 33
Chapter 2. THE FIRST LAW OF THERMODYNAMICS 35
2.1. Content of the First Law 35
2.1.1. Cyclic Processes 35
2.1.2. Non-Cyclic Processes. Internal Energy 36
2.2. Enthalpy 41
Chapter 3. HEAT EFFECTS AND HEAT CAPACITIES 45
3.1. Hess’s Law 45
3.2. Standard Heat Effects 49
3.3. Some Methods of Calculating Heat Effects 53
3.3.1. Heats of Formation 53
3.3.2. Heats of Combustion 57
3.3.3. Comparative Calculation of Heat Effects 58
3.4. Heat Capacity 58
3.4.1. Heat Capacity in Different Processes 58
3.4.2. Temperature Dependence of Heat Capacity 61
3.4.3. Certain Laws 71
3.5. Temperature Dependence of Heat Effect 73
3.5.1. Kirchhoff Equation 73
3.5.2. Equation AH = <p(T) in Its Final Form 77
3.5.3. Heat Balance 84
Chapter 4. THE SECOND LAW OF THERMODYNAMICS 87
4.1. Content of the Second Law 87
4.1.1. The Carnot Cycle 87
4.1.2. Thermodynamic Temperature Scale 91
4.1.3. Impossibility of a Perpetual Motion Machine 92
4.2. Entropy 94
4.2.1. Change in Entropy in Reversible Processes 95
4.2.2. Change in Entropy in Irreversible Processes 97
4.2.3. Change in Entropy as a Criterion of the Equilibrium and Spontaneity of Processes 98
4.2.4. Relation Between Entropy and Other Thermodynamic Parameters and Some Relationships Between Derived Functions 102
4.3. Substantiation of the Second Law 106
4.3.1. Thermodynamic Probability of a State 106
4.3.2. Phase Space 106
4.3.3. Relationship Between Entropy and Thermodynamic Probability 108
4.3.4. Fluctuations 110
4.3.5. The Invalidity of the “Theory of Heat Death” of the Universe 112
Chapter 5. THERMODYNAMIC AND CHEMICAL POTENTIALS. THE GENERAL CONDITIONS OF EQUILIBRIUM 114
5.1. Thermodynamic Potentials 114
5.1.1. Change in Thermodynamic Potential as a Criterion of the Equilibrium and Spontaneous Nature of a Process 119
5.1.2. Various Thermodynamic Relationships 121
5.2. Characteristic Functions 123
5.3. Chemical Potential 128
5.4. General Conditions of Equilibrium 131
5.4.1. Stable and Unstable Equilibria 132
5.4.2. Equilibrium Coexistence of Phases. The Gibbs Phase Rule 134
5.4.3. Principle of Displacement of Equilibrium 139
Chapter 6. ONE-COMPONENT HOMOGENEOUS SYSTEMS 141
6.1. Ideal Gas 141
6.2. Equations of State of a Real Gas 150
6.3. Fugacity 159
6.3.1. Standard State 160
6.3.2. Temperature Dependence of Fugacity 162
6.3.3. Methods of Calculating Fugacity 163
6.4. Throttling 168
6.5. Calculation of Properties of Gases According to Experimental Data 175
6.5.1. Calculations Using the Relationships p-V-T and Cp = q>(T) 175
6.5.2. Calculations Using the Relationships Cp = <p(p, T) or H = q(p, T) and VT> = 9 (p) 184
6.5.3. Calculations Using (ij and C9 185
6.5.4. Influence of Pressure on the Heat Effect of a Reaction 185
6.6. A Generalized Method of Calculating Selected Properties of Gases and Liquids at Pressures above Atmospheric 186
6.6.1. Gases 186
6.6.2. Liquids 199
Chapter 7. ONE-COMPONENT HETEROGENEOUS SYSTEMS 205
7.1. Relationship Between Temperature and Pressure with Coexisting Phases 205
7.1.1. Clapeyron-Clausius Equation 205
7.1.2. Approximate Relationships 209
7.2. Methods for the Comparative Calculation of the Temperature Dependence of the Saturated Vapour Pressure 214
7.2.1. Straight Line Method 215
7.2.2. Method of Comparing Boiling Points of Given and Standard Substances at Equal Vapour Pressures 216
7.2.3. Method of Comparing Vapour Pressures of Various Substances at Equal Boiling Points 218
7.2.4. Method of Comparing Vapour Pressures of Various Substances at Equal Reduced Boiling Points 220
7.3. Critical State 221
7.4. Heat Capacities of Coexisting Phases and Heats of Phase Transitions 227
7.4.1. Heat Capacities of Coexisting Phases 227
7.4.2. Heats of Phase Transitions 232
7.5. Influence of Total Pressure on Saturated Vapour Pressure 244
7.6. Influence of Surface Curvature on Saturated Vapour Pressure 247
7.7. Second-Order Phase Transitions 249
Chapter 8. SOLUTIONS 251
8.1. Fundamental Concepts and Definitions 251
8.2. Partial Molar Quantities 255
8.2.1. Basic Equations 257
8.2.2. Methods of Calculation 260
8.3. Heat Capacities and Enthalpies of Solutions 264
8.3.1. Partial Molar Heat Capacities 264
8.3.2. Partial Molar Enthalpies 265
8.4. Ideal Solutions 272
8.5. Infinitely Dilute Solutions 278
8.5.1. Partial Molar Quantities 279
8.5.2. Henry’s Law 281
Chapter 9. BINARY SOLUTION-PURE COMPONENT EQUILIBRIUM 285
9.1. Relationship Between Temperature and Concentration 285
9.1.1. Solution-Solid Component Equilibrium 287
9.1.2. Analysis of Solubility Diagrams 292
9.1.3. Solution-Gas Equilibrium 304
9.2. Relationship Between Pressure and Concentration 305
9.2.1. Solution-Solid Component Equilibrium 306
9.2.2. Solution-Gas Equilibrium 307
9.3. Gas Mixture-Pure Component Equilibrium 317
9.4. Influence of Dispersion on Solubility 318
Chapter 10. SOLUTION-SOLUTION EQUILIBRIUM IN BINARY MIXTURES 319
10.1. Liquid-Gas Equilibrium for Completely Miscible Liquids at Low Pressures 319
10.1.1. Ideal Solution-Mixture of Ideal Gases 319
10.1.2. Non-Ideal Solution-Mixture of Ideal Gases 322
10.1.3. Separation of Solution Components 332
10.2. Liquid-Gas Equilibrium for Completely Miscible Liquids at High Pressures 334
10.2.1. Critical Phenomena 341
10.3. Equilibrium in Systems with Incompletely Miscible Liquids 349
10.3.1. Liquid-Gas Equilibrium 349
10.3.2. Liquid-Liquid Equilibrium 351
10.3.3. Gas-Gas Equilibrium 352
10.4. Liquid-Gas Equilibrium for Immiscible Liquids 355
Chapter 11. EQUILIBRIUM IN THREE- AND FOUR-COMPONENT SYSTEMS 359
11.1. Depicting Composition 359
11.1.1. Three-Component Systems 359
11.1.2. Four-Component Systems 361
11.2. Liquid-Solid Equilibrium in Three-Component Systems 362
11.2.1. Substances Forming No Compounds 362
11.2.2. Substances Forming Compounds 366
11.2.3. Isotherms of Aqueous Solutions of Two Common-Ion Salts 367
11.3. Mutual Solubility of Three Liquids 385
11.4. Liquid-Gas Equilibrium in Ternary Systems 391
11.4.1. Isotherm 391
11.4.2. Is

obaric Systems 399
Chapter 12. THE PRINCIPLE OF MAXIMUM ENTROPY 405
12.1. Entropy as a Thermodynamic Function 405
12.2. Method of Maximum Entropy 410
12.3. Application of the Maximum Entropy Principle in Thermodynamics 414
Chapter 13. MODERN CONCEPTS OF THERMODYNAMICS 419
13.1. Thermodynamic Models 419
13.2. Relations with Other Areas of Science 421
13.3. Role of Thermodynamics in Physical Chemistry 424
13.4. Applications of Thermodynamics in Industry 427
13.5. Advanced Topics in Thermodynamics 430

Chapter 14. EQUILIBRIUM TRANSFORMATION 518

14.1. Direction of a Process 518

14.2. Calculation of Equilibrium Transformation 527

14.2.1. Reactions in the Gaseous Phase 528

14.2.2. Reactions in Solutions 531

14.2.3. Heterogeneous Reactions 533

14.2.4. Electrochemical Reactions 537

14.3. Influence of Various Factors on the Extent of a Reaction 541

14.3.1. Temperature 541

14.3.2. Pressure 545

14.3.3. Presence of an Inert Gas 548

14.3.4. Ratio of Reactants 549

14.3.5. Change in Surface Area 550

14.3.6. Kind of Reaction 552

14.4. Equilibrium in Complex Chemical Systems 553

14.5. Sources of Errors in Calculating Equilibrium 562

14.5.1. Errors Due to Inaccuracy of Experimental Data 562

14.5.2. Errors Connected with the Processing of Experimental Data 564

14.6. Theoretical and Practical Extents of a Reaction 566

Chapter 15. FUNDAMENTALS OF QUANTUM STATISTICAL CALCULATIONS OF THERMODYNAMIC FUNCTIONS AND CHEMICAL EQUILIBRIUM FROM SPECTROSCOPIC DATA 568

15.1. Introduction 568

15.2. Thermodynamic Properties of Gases Due to Translational Degrees of Freedom 572

15.3. Thermodynamic Properties of Gases Due to Intramolecular Degrees of Freedom 575

15.3.1. Rotational Partition Function 577

15.3.2. Vibrational Partition Function 583

15.3.3. Partition Function for Electronic Excitation 587

15.3.4. Nuclear Spin 588

15.3.5. Effect of Isotopic Composition 589

15.3.6. Group of Properties 589

15.4. Calculation of Chemical Equilibrium 592

APPENDICES 599

List of Symbols 599

Heat Capacities, Standard Enthalpies and Gibbs Energies of

Chemical Thermodynamics by M.Kh. Karapetyants

The book is primarily aimed at students in higher education specialising in chemistry, particularly future engineers. The author has avoided unnecessary abstraction and overly complex mathematics to ensure the material remains practical and accessible, while still providing a solid theoretical foundation. The content includes approximate laws that allow for quick, practical problem-solving, even when precise values are unavailable. The author integrates empirical thermodynamics with the periodic table to make thermodynamic concepts more comprehensible, particularly entropy, which students often find difficult to grasp.

The book also addresses the importance of connecting thermodynamics with other branches of chemistry, such as general and inorganic chemistry, to enhance students’ understanding for later courses. The primary focus is on the thermodynamics of gaseous systems, with less emphasis on solutions and electrolytes. Numerous examples, mainly related to inorganic substances and chemical processing, help students apply theory to practical problems, with calculations that can be compared to experimental data. The book also includes many tables and figures derived from various sources to support these applications.

Translated from the Russian by G. Leib

Credits to the original uploaders, this is a cleaned optimised scan.

You can get the book here and here

Follow us on

Twitter https://x.com/MirTitles

Mastadon https://mastodon.social/@mirtitles

Bluesky https://bsky.app/profile/mirtitles.bsky.social

Tumblr https://www.tumblr.com/mirtitles

Internet Archive https://archive.org/details/mir-titles

Fork us on gitlab https://gitlab.com/mirtitles

Contents

List of Tables 11
Preface 13
Chapter 1. INTRODUCTION 15
1.1. The Subject and Method of Thermodynamics 15
1.2. Basic Concepts and Definitions 17
1.2.1. Systems and Their Classification 17
1.2.2. Thermodynamic Parameters 18
1.2.3. Work and Heat 22
1.2.4. Reversible and Irreversible Processes 23
1.2.5. Mathematical Relations Between the Parameters of State 28
1.3. Terms and Symbols 33
Chapter 2. THE FIRST LAW OF THERMODYNAMICS 35
2.1. Content of the First Law 35
2.1.1. Cyclic Processes 35
2.1.2. Non-Cyclic Processes. Internal Energy 36
2.2. Enthalpy 41
Chapter 3. HEAT EFFECTS AND HEAT CAPACITIES 45
3.1. Hess’s Law 45
3.2. Standard Heat Effects 49
3.3. Some Methods of Calculating Heat Effects 53
3.3.1. Heats of Formation 53
3.3.2. Heats of Combustion 57
3.3.3. Comparative Calculation of Heat Effects 58
3.4. Heat Capacity 58
3.4.1. Heat Capacity in Different Processes 58
3.4.2. Temperature Dependence of Heat Capacity 61
3.4.3. Certain Laws 71
3.5. Temperature Dependence of Heat Effect 73
3.5.1. Kirchhoff Equation 73
3.5.2. Equation AH = <p(T) in Its Final Form 77
3.5.3. Heat Balance 84
Chapter 4. THE SECOND LAW OF THERMODYNAMICS 87
4.1. Content of the Second Law 87
4.1.1. The Carnot Cycle 87
4.1.2. Thermodynamic Temperature Scale 91
4.1.3. Impossibility of a Perpetual Motion Machine 92
4.2. Entropy 94
4.2.1. Change in Entropy in Reversible Processes 95
4.2.2. Change in Entropy in Irreversible Processes 97
4.2.3. Change in Entropy as a Criterion of the Equilibrium and Spontaneity of Processes 98
4.2.4. Relation Between Entropy and Other Thermodynamic Parameters and Some Relationships Between Derived Functions 102
4.3. Substantiation of the Second Law 106
4.3.1. Thermodynamic Probability of a State 106
4.3.2. Phase Space 106
4.3.3. Relationship Between Entropy and Thermodynamic Probability 108
4.3.4. Fluctuations 110
4.3.5. The Invalidity of the “Theory of Heat Death” of the Universe 112
Chapter 5. THERMODYNAMIC AND CHEMICAL POTENTIALS. THE GENERAL CONDITIONS OF EQUILIBRIUM 114
5.1. Thermodynamic Potentials 114
5.1.1. Change in Thermodynamic Potential as a Criterion of the Equilibrium and Spontaneous Nature of a Process 119
5.1.2. Various Thermodynamic Relationships 121
5.2. Characteristic Functions 123
5.3. Chemical Potential 128
5.4. General Conditions of Equilibrium 131
5.4.1. Stable and Unstable Equilibria 132
5.4.2. Equilibrium Coexistence of Phases. The Gibbs Phase Rule 134
5.4.3. Principle of Displacement of Equilibrium 139
Chapter 6. ONE-COMPONENT HOMOGENEOUS SYSTEMS 141
6.1. Ideal Gas 141
6.2. Equations of State of a Real Gas 150
6.3. Fugacity 159
6.3.1. Standard State 160
6.3.2. Temperature Dependence of Fugacity 162
6.3.3. Methods of Calculating Fugacity 163
6.4. Throttling 168
6.5. Calculation of Properties of Gases According to Experimental Data 175
6.5.1. Calculations Using the Relationships p-V-T and Cp = q>(T) 175
6.5.2. Calculations Using the Relationships Cp = <p(p, T) or H = q(p, T) and VT> = 9 (p) 184
6.5.3. Calculations Using (ij and C9 185
6.5.4. Influence of Pressure on the Heat Effect of a Reaction 185
6.6. A Generalized Method of Calculating Selected Properties of Gases and Liquids at Pressures above Atmospheric 186
6.6.1. Gases 186
6.6.2. Liquids 199
Chapter 7. ONE-COMPONENT HETEROGENEOUS SYSTEMS 205
7.1. Relationship Between Temperature and Pressure with Coexisting Phases 205
7.1.1. Clapeyron-Clausius Equation 205
7.1.2. Approximate Relationships 209
7.2. Methods for the Comparative Calculation of the Temperature Dependence of the Saturated Vapour Pressure 214
7.2.1. Straight Line Method 215
7.2.2. Method of Comparing Boiling Points of Given and Standard Substances at Equal Vapour Pressures 216
7.2.3. Method of Comparing Vapour Pressures of Various Substances at Equal Boiling Points 218
7.2.4. Method of Comparing Vapour Pressures of Various Substances at Equal Reduced Boiling Points 220
7.3. Critical State 221
7.4. Heat Capacities of Coexisting Phases and Heats of Phase Transitions 227
7.4.1. Heat Capacities of Coexisting Phases 227
7.4.2. Heats of Phase Transitions 232
7.5. Influence of Total Pressure on Saturated Vapour Pressure 244
7.6. Influence of Surface Curvature on Saturated Vapour Pressure 247
7.7. Second-Order Phase Transitions 249
Chapter 8. SOLUTIONS 251
8.1. Fundamental Concepts and Definitions 251
8.2. Partial Molar Quantities 255
8.2.1. Basic Equations 257
8.2.2. Methods of Calculation 260
8.3. Heat Capacities and Enthalpies of Solutions 264
8.3.1. Partial Molar Heat Capacities 264
8.3.2. Partial Molar Enthalpies 265
8.4. Ideal Solutions 272
8.5. Infinitely Dilute Solutions 278
8.5.1. Partial Molar Quantities 279
8.5.2. Henry’s Law 281
Chapter 9. BINARY SOLUTION-PURE COMPONENT EQUILIBRIUM 285
9.1. Relationship Between Temperature and Concentration 285
9.1.1. Solution-Solid Component Equilibrium 287
9.1.2. Analysis of Solubility Diagrams 292
9.1.3. Solution-Gas Equilibrium 304
9.2. Relationship Between Pressure and Concentration 305
9.2.1. Solution-Solid Component Equilibrium 306
9.2.2. Solution-Gas Equilibrium 307
9.3. Gas Mixture-Pure Component Equilibrium 317
9.4. Influence of Dispersion on Solubility 318
Chapter 10. SOLUTION-SOLUTION EQUILIBRIUM IN BINARY MIXTURES 319
10.1. Liquid-Gas Equilibrium for Completely Miscible Liquids at Low Pressures 319
10.1.1. Ideal Solution-Mixture of Ideal Gases 319
10.1.2. Non-Ideal Solution-Mixture of Ideal Gases 322
10.1.3. Separation of Solution Components 332
10.2. Liquid-Gas Equilibrium for Completely Miscible Liquids at High Pressures 334
10.2.1. Critical Phenomena 341
10.3. Equilibrium in Systems with Incompletely Miscible Liquids 349
10.3.1. Liquid-Gas Equilibrium 349
10.3.2. Liquid-Liquid Equilibrium 351
10.3.3. Gas-Gas Equilibrium 352
10.4. Liquid-Gas Equilibrium for Immiscible Liquids 355
Chapter 11. EQUILIBRIUM IN THREE- AND FOUR-COMPONENT SYSTEMS 359
11.1. Depicting Composition 359
11.1.1. Three-Component Systems 359
11.1.2. Four-Component Systems 361
11.2. Liquid-Solid Equilibrium in Three-Component Systems 362
11.2.1. Substances Forming No Compounds 362
11.2.2. Substances Forming Compounds 366
11.2.3. Isotherms of Aqueous Solutions of Two Common-Ion Salts 367
11.3. Mutual Solubility of Three Liquids 385
11.4. Liquid-Gas Equilibrium in Ternary Systems 391
11.4.1. Isotherm 391
11.4.2. Is

obaric Systems 399
Chapter 12. THE PRINCIPLE OF MAXIMUM ENTROPY 405
12.1. Entropy as a Thermodynamic Function 405
12.2. Method of Maximum Entropy 410
12.3. Application of the Maximum Entropy Principle in Thermodynamics 414
Chapter 13. MODERN CONCEPTS OF THERMODYNAMICS 419
13.1. Thermodynamic Models 419
13.2. Relations with Other Areas of Science 421
13.3. Role of Thermodynamics in Physical Chemistry 424
13.4. Applications of Thermodynamics in Industry 427
13.5. Advanced Topics in Thermodynamics 430

Chapter 14. EQUILIBRIUM TRANSFORMATION 518

14.1. Direction of a Process 518

14.2. Calculation of Equilibrium Transformation 527

14.2.1. Reactions in the Gaseous Phase 528

14.2.2. Reactions in Solutions 531

14.2.3. Heterogeneous Reactions 533

14.2.4. Electrochemical Reactions 537

14.3. Influence of Various Factors on the Extent of a Reaction 541

14.3.1. Temperature 541

14.3.2. Pressure 545

14.3.3. Presence of an Inert Gas 548

14.3.4. Ratio of Reactants 549

14.3.5. Change in Surface Area 550

14.3.6. Kind of Reaction 552

14.4. Equilibrium in Complex Chemical Systems 553

14.5. Sources of Errors in Calculating Equilibrium 562

14.5.1. Errors Due to Inaccuracy of Experimental Data 562

14.5.2. Errors Connected with the Processing of Experimental Data 564

14.6. Theoretical and Practical Extents of a Reaction 566

Chapter 15. FUNDAMENTALS OF QUANTUM STATISTICAL CALCULATIONS OF THERMODYNAMIC FUNCTIONS AND CHEMICAL EQUILIBRIUM FROM SPECTROSCOPIC DATA 568

15.1. Introduction 568

15.2. Thermodynamic Properties of Gases Due to Translational Degrees of Freedom 572

15.3. Thermodynamic Properties of Gases Due to Intramolecular Degrees of Freedom 575

15.3.1. Rotational Partition Function 577

15.3.2. Vibrational Partition Function 583

15.3.3. Partition Function for Electronic Excitation 587

15.3.4. Nuclear Spin 588

15.3.5. Effect of Isotopic Composition 589

15.3.6. Group of Properties 589

15.4. Calculation of Chemical Equilibrium 592

APPENDICES 599

List of Symbols 599

Heat Capacities, Standard Enthalpies and Gibbs Energies of

Chemical Thermodynamics by M.Kh. Karapetyants

The book is primarily aimed at students in higher education specialising in chemistry, particularly future engineers. The author has avoided unnecessary abstraction and overly complex mathematics to ensure the material remains practical and accessible, while still providing a solid theoretical foundation. The content includes approximate laws that allow for quick, practical problem-solving, even when precise values are unavailable. The author integrates empirical thermodynamics with the periodic table to make thermodynamic concepts more comprehensible, particularly entropy, which students often find difficult to grasp.

The book also addresses the importance of connecting thermodynamics with other branches of chemistry, such as general and inorganic chemistry, to enhance students’ understanding for later courses. The primary focus is on the thermodynamics of gaseous systems, with less emphasis on solutions and electrolytes. Numerous examples, mainly related to inorganic substances and chemical processing, help students apply theory to practical problems, with calculations that can be compared to experimental data. The book also includes many tables and figures derived from various sources to support these applications.

Translated from the Russian by G. Leib

Credits to the original uploaders, this is a cleaned optimised scan.

You can get the book here and here

Follow us on

Twitter https://x.com/MirTitles

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Contents

List of Tables 11
Preface 13
Chapter 1. INTRODUCTION 15
1.1. The Subject and Method of Thermodynamics 15
1.2. Basic Concepts and Definitions 17
1.2.1. Systems and Their Classification 17
1.2.2. Thermodynamic Parameters 18
1.2.3. Work and Heat 22
1.2.4. Reversible and Irreversible Processes 23
1.2.5. Mathematical Relations Between the Parameters of State 28
1.3. Terms and Symbols 33
Chapter 2. THE FIRST LAW OF THERMODYNAMICS 35
2.1. Content of the First Law 35
2.1.1. Cyclic Processes 35
2.1.2. Non-Cyclic Processes. Internal Energy 36
2.2. Enthalpy 41
Chapter 3. HEAT EFFECTS AND HEAT CAPACITIES 45
3.1. Hess’s Law 45
3.2. Standard Heat Effects 49
3.3. Some Methods of Calculating Heat Effects 53
3.3.1. Heats of Formation 53
3.3.2. Heats of Combustion 57
3.3.3. Comparative Calculation of Heat Effects 58
3.4. Heat Capacity 58
3.4.1. Heat Capacity in Different Processes 58
3.4.2. Temperature Dependence of Heat Capacity 61
3.4.3. Certain Laws 71
3.5. Temperature Dependence of Heat Effect 73
3.5.1. Kirchhoff Equation 73
3.5.2. Equation AH = <p(T) in Its Final Form 77
3.5.3. Heat Balance 84
Chapter 4. THE SECOND LAW OF THERMODYNAMICS 87
4.1. Content of the Second Law 87
4.1.1. The Carnot Cycle 87
4.1.2. Thermodynamic Temperature Scale 91
4.1.3. Impossibility of a Perpetual Motion Machine 92
4.2. Entropy 94
4.2.1. Change in Entropy in Reversible Processes 95
4.2.2. Change in Entropy in Irreversible Processes 97
4.2.3. Change in Entropy as a Criterion of the Equilibrium and Spontaneity of Processes 98
4.2.4. Relation Between Entropy and Other Thermodynamic Parameters and Some Relationships Between Derived Functions 102
4.3. Substantiation of the Second Law 106
4.3.1. Thermodynamic Probability of a State 106
4.3.2. Phase Space 106
4.3.3. Relationship Between Entropy and Thermodynamic Probability 108
4.3.4. Fluctuations 110
4.3.5. The Invalidity of the “Theory of Heat Death” of the Universe 112
Chapter 5. THERMODYNAMIC AND CHEMICAL POTENTIALS. THE GENERAL CONDITIONS OF EQUILIBRIUM 114
5.1. Thermodynamic Potentials 114
5.1.1. Change in Thermodynamic Potential as a Criterion of the Equilibrium and Spontaneous Nature of a Process 119
5.1.2. Various Thermodynamic Relationships 121
5.2. Characteristic Functions 123
5.3. Chemical Potential 128
5.4. General Conditions of Equilibrium 131
5.4.1. Stable and Unstable Equilibria 132
5.4.2. Equilibrium Coexistence of Phases. The Gibbs Phase Rule 134
5.4.3. Principle of Displacement of Equilibrium 139
Chapter 6. ONE-COMPONENT HOMOGENEOUS SYSTEMS 141
6.1. Ideal Gas 141
6.2. Equations of State of a Real Gas 150
6.3. Fugacity 159
6.3.1. Standard State 160
6.3.2. Temperature Dependence of Fugacity 162
6.3.3. Methods of Calculating Fugacity 163
6.4. Throttling 168
6.5. Calculation of Properties of Gases According to Experimental Data 175
6.5.1. Calculations Using the Relationships p-V-T and Cp = q>(T) 175
6.5.2. Calculations Using the Relationships Cp = <p(p, T) or H = q(p, T) and VT> = 9 (p) 184
6.5.3. Calculations Using (ij and C9 185
6.5.4. Influence of Pressure on the Heat Effect of a Reaction 185
6.6. A Generalized Method of Calculating Selected Properties of Gases and Liquids at Pressures above Atmospheric 186
6.6.1. Gases 186
6.6.2. Liquids 199
Chapter 7. ONE-COMPONENT HETEROGENEOUS SYSTEMS 205
7.1. Relationship Between Temperature and Pressure with Coexisting Phases 205
7.1.1. Clapeyron-Clausius Equation 205
7.1.2. Approximate Relationships 209
7.2. Methods for the Comparative Calculation of the Temperature Dependence of the Saturated Vapour Pressure 214
7.2.1. Straight Line Method 215
7.2.2. Method of Comparing Boiling Points of Given and Standard Substances at Equal Vapour Pressures 216
7.2.3. Method of Comparing Vapour Pressures of Various Substances at Equal Boiling Points 218
7.2.4. Method of Comparing Vapour Pressures of Various Substances at Equal Reduced Boiling Points 220
7.3. Critical State 221
7.4. Heat Capacities of Coexisting Phases and Heats of Phase Transitions 227
7.4.1. Heat Capacities of Coexisting Phases 227
7.4.2. Heats of Phase Transitions 232
7.5. Influence of Total Pressure on Saturated Vapour Pressure 244
7.6. Influence of Surface Curvature on Saturated Vapour Pressure 247
7.7. Second-Order Phase Transitions 249
Chapter 8. SOLUTIONS 251
8.1. Fundamental Concepts and Definitions 251
8.2. Partial Molar Quantities 255
8.2.1. Basic Equations 257
8.2.2. Methods of Calculation 260
8.3. Heat Capacities and Enthalpies of Solutions 264
8.3.1. Partial Molar Heat Capacities 264
8.3.2. Partial Molar Enthalpies 265
8.4. Ideal Solutions 272
8.5. Infinitely Dilute Solutions 278
8.5.1. Partial Molar Quantities 279
8.5.2. Henry’s Law 281
Chapter 9. BINARY SOLUTION-PURE COMPONENT EQUILIBRIUM 285
9.1. Relationship Between Temperature and Concentration 285
9.1.1. Solution-Solid Component Equilibrium 287
9.1.2. Analysis of Solubility Diagrams 292
9.1.3. Solution-Gas Equilibrium 304
9.2. Relationship Between Pressure and Concentration 305
9.2.1. Solution-Solid Component Equilibrium 306
9.2.2. Solution-Gas Equilibrium 307
9.3. Gas Mixture-Pure Component Equilibrium 317
9.4. Influence of Dispersion on Solubility 318
Chapter 10. SOLUTION-SOLUTION EQUILIBRIUM IN BINARY MIXTURES 319
10.1. Liquid-Gas Equilibrium for Completely Miscible Liquids at Low Pressures 319
10.1.1. Ideal Solution-Mixture of Ideal Gases 319
10.1.2. Non-Ideal Solution-Mixture of Ideal Gases 322
10.1.3. Separation of Solution Components 332
10.2. Liquid-Gas Equilibrium for Completely Miscible Liquids at High Pressures 334
10.2.1. Critical Phenomena 341
10.3. Equilibrium in Systems with Incompletely Miscible Liquids 349
10.3.1. Liquid-Gas Equilibrium 349
10.3.2. Liquid-Liquid Equilibrium 351
10.3.3. Gas-Gas Equilibrium 352
10.4. Liquid-Gas Equilibrium for Immiscible Liquids 355
Chapter 11. EQUILIBRIUM IN THREE- AND FOUR-COMPONENT SYSTEMS 359
11.1. Depicting Composition 359
11.1.1. Three-Component Systems 359
11.1.2. Four-Component Systems 361
11.2. Liquid-Solid Equilibrium in Three-Component Systems 362
11.2.1. Substances Forming No Compounds 362
11.2.2. Substances Forming Compounds 366
11.2.3. Isotherms of Aqueous Solutions of Two Common-Ion Salts 367
11.3. Mutual Solubility of Three Liquids 385
11.4. Liquid-Gas Equilibrium in Ternary Systems 391
11.4.1. Isotherm 391
11.4.2. Is

obaric Systems 399
Chapter 12. THE PRINCIPLE OF MAXIMUM ENTROPY 405
12.1. Entropy as a Thermodynamic Function 405
12.2. Method of Maximum Entropy 410
12.3. Application of the Maximum Entropy Principle in Thermodynamics 414
Chapter 13. MODERN CONCEPTS OF THERMODYNAMICS 419
13.1. Thermodynamic Models 419
13.2. Relations with Other Areas of Science 421
13.3. Role of Thermodynamics in Physical Chemistry 424
13.4. Applications of Thermodynamics in Industry 427
13.5. Advanced Topics in Thermodynamics 430

Chapter 14. EQUILIBRIUM TRANSFORMATION 518

14.1. Direction of a Process 518

14.2. Calculation of Equilibrium Transformation 527

14.2.1. Reactions in the Gaseous Phase 528

14.2.2. Reactions in Solutions 531

14.2.3. Heterogeneous Reactions 533

14.2.4. Electrochemical Reactions 537

14.3. Influence of Various Factors on the Extent of a Reaction 541

14.3.1. Temperature 541

14.3.2. Pressure 545

14.3.3. Presence of an Inert Gas 548

14.3.4. Ratio of Reactants 549

14.3.5. Change in Surface Area 550

14.3.6. Kind of Reaction 552

14.4. Equilibrium in Complex Chemical Systems 553

14.5. Sources of Errors in Calculating Equilibrium 562

14.5.1. Errors Due to Inaccuracy of Experimental Data 562

14.5.2. Errors Connected with the Processing of Experimental Data 564

14.6. Theoretical and Practical Extents of a Reaction 566

Chapter 15. FUNDAMENTALS OF QUANTUM STATISTICAL CALCULATIONS OF THERMODYNAMIC FUNCTIONS AND CHEMICAL EQUILIBRIUM FROM SPECTROSCOPIC DATA 568

15.1. Introduction 568

15.2. Thermodynamic Properties of Gases Due to Translational Degrees of Freedom 572

15.3. Thermodynamic Properties of Gases Due to Intramolecular Degrees of Freedom 575

15.3.1. Rotational Partition Function 577

15.3.2. Vibrational Partition Function 583

15.3.3. Partition Function for Electronic Excitation 587

15.3.4. Nuclear Spin 588

15.3.5. Effect of Isotopic Composition 589

15.3.6. Group of Properties 589

15.4. Calculation of Chemical Equilibrium 592

APPENDICES 599

List of Symbols 599

Heat Capacities, Standard Enthalpies and Gibbs Energies of

Chemical Thermodynamics by M.Kh. Karapetyants

The book is primarily aimed at students in higher education specialising in chemistry, particularly future engineers. The author has avoided unnecessary abstraction and overly complex mathematics to ensure the material remains practical and accessible, while still providing a solid theoretical foundation. The content includes approximate laws that allow for quick, practical problem-solving, even when precise values are unavailable. The author integrates empirical thermodynamics with the periodic table to make thermodynamic concepts more comprehensible, particularly entropy, which students often find difficult to grasp.

The book also addresses the importance of connecting thermodynamics with other branches of chemistry, such as general and inorganic chemistry, to enhance students’ understanding for later courses. The primary focus is on the thermodynamics of gaseous systems, with less emphasis on solutions and electrolytes. Numerous examples, mainly related to inorganic substances and chemical processing, help students apply theory to practical problems, with calculations that can be compared to experimental data. The book also includes many tables and figures derived from various sources to support these applications.

Translated from the Russian by G. Leib

Credits to the original uploaders, this is a cleaned optimised scan.

You can get the book here and here

Follow us on

Twitter https://x.com/MirTitles

Mastadon https://mastodon.social/@mirtitles

Bluesky https://bsky.app/profile/mirtitles.bsky.social

Tumblr https://www.tumblr.com/mirtitles

Internet Archive https://archive.org/details/mir-titles

Fork us on gitlab https://gitlab.com/mirtitles

Contents

List of Tables 11
Preface 13
Chapter 1. INTRODUCTION 15
1.1. The Subject and Method of Thermodynamics 15
1.2. Basic Concepts and Definitions 17
1.2.1. Systems and Their Classification 17
1.2.2. Thermodynamic Parameters 18
1.2.3. Work and Heat 22
1.2.4. Reversible and Irreversible Processes 23
1.2.5. Mathematical Relations Between the Parameters of State 28
1.3. Terms and Symbols 33
Chapter 2. THE FIRST LAW OF THERMODYNAMICS 35
2.1. Content of the First Law 35
2.1.1. Cyclic Processes 35
2.1.2. Non-Cyclic Processes. Internal Energy 36
2.2. Enthalpy 41
Chapter 3. HEAT EFFECTS AND HEAT CAPACITIES 45
3.1. Hess’s Law 45
3.2. Standard Heat Effects 49
3.3. Some Methods of Calculating Heat Effects 53
3.3.1. Heats of Formation 53
3.3.2. Heats of Combustion 57
3.3.3. Comparative Calculation of Heat Effects 58
3.4. Heat Capacity 58
3.4.1. Heat Capacity in Different Processes 58
3.4.2. Temperature Dependence of Heat Capacity 61
3.4.3. Certain Laws 71
3.5. Temperature Dependence of Heat Effect 73
3.5.1. Kirchhoff Equation 73
3.5.2. Equation AH = <p(T) in Its Final Form 77
3.5.3. Heat Balance 84
Chapter 4. THE SECOND LAW OF THERMODYNAMICS 87
4.1. Content of the Second Law 87
4.1.1. The Carnot Cycle 87
4.1.2. Thermodynamic Temperature Scale 91
4.1.3. Impossibility of a Perpetual Motion Machine 92
4.2. Entropy 94
4.2.1. Change in Entropy in Reversible Processes 95
4.2.2. Change in Entropy in Irreversible Processes 97
4.2.3. Change in Entropy as a Criterion of the Equilibrium and Spontaneity of Processes 98
4.2.4. Relation Between Entropy and Other Thermodynamic Parameters and Some Relationships Between Derived Functions 102
4.3. Substantiation of the Second Law 106
4.3.1. Thermodynamic Probability of a State 106
4.3.2. Phase Space 106
4.3.3. Relationship Between Entropy and Thermodynamic Probability 108
4.3.4. Fluctuations 110
4.3.5. The Invalidity of the “Theory of Heat Death” of the Universe 112
Chapter 5. THERMODYNAMIC AND CHEMICAL POTENTIALS. THE GENERAL CONDITIONS OF EQUILIBRIUM 114
5.1. Thermodynamic Potentials 114
5.1.1. Change in Thermodynamic Potential as a Criterion of the Equilibrium and Spontaneous Nature of a Process 119
5.1.2. Various Thermodynamic Relationships 121
5.2. Characteristic Functions 123
5.3. Chemical Potential 128
5.4. General Conditions of Equilibrium 131
5.4.1. Stable and Unstable Equilibria 132
5.4.2. Equilibrium Coexistence of Phases. The Gibbs Phase Rule 134
5.4.3. Principle of Displacement of Equilibrium 139
Chapter 6. ONE-COMPONENT HOMOGENEOUS SYSTEMS 141
6.1. Ideal Gas 141
6.2. Equations of State of a Real Gas 150
6.3. Fugacity 159
6.3.1. Standard State 160
6.3.2. Temperature Dependence of Fugacity 162
6.3.3. Methods of Calculating Fugacity 163
6.4. Throttling 168
6.5. Calculation of Properties of Gases According to Experimental Data 175
6.5.1. Calculations Using the Relationships p-V-T and Cp = q>(T) 175
6.5.2. Calculations Using the Relationships Cp = <p(p, T) or H = q(p, T) and VT> = 9 (p) 184
6.5.3. Calculations Using (ij and C9 185
6.5.4. Influence of Pressure on the Heat Effect of a Reaction 185
6.6. A Generalized Method of Calculating Selected Properties of Gases and Liquids at Pressures above Atmospheric 186
6.6.1. Gases 186
6.6.2. Liquids 199
Chapter 7. ONE-COMPONENT HETEROGENEOUS SYSTEMS 205
7.1. Relationship Between Temperature and Pressure with Coexisting Phases 205
7.1.1. Clapeyron-Clausius Equation 205
7.1.2. Approximate Relationships 209
7.2. Methods for the Comparative Calculation of the Temperature Dependence of the Saturated Vapour Pressure 214
7.2.1. Straight Line Method 215
7.2.2. Method of Comparing Boiling Points of Given and Standard Substances at Equal Vapour Pressures 216
7.2.3. Method of Comparing Vapour Pressures of Various Substances at Equal Boiling Points 218
7.2.4. Method of Comparing Vapour Pressures of Various Substances at Equal Reduced Boiling Points 220
7.3. Critical State 221
7.4. Heat Capacities of Coexisting Phases and Heats of Phase Transitions 227
7.4.1. Heat Capacities of Coexisting Phases 227
7.4.2. Heats of Phase Transitions 232
7.5. Influence of Total Pressure on Saturated Vapour Pressure 244
7.6. Influence of Surface Curvature on Saturated Vapour Pressure 247
7.7. Second-Order Phase Transitions 249
Chapter 8. SOLUTIONS 251
8.1. Fundamental Concepts and Definitions 251
8.2. Partial Molar Quantities 255
8.2.1. Basic Equations 257
8.2.2. Methods of Calculation 260
8.3. Heat Capacities and Enthalpies of Solutions 264
8.3.1. Partial Molar Heat Capacities 264
8.3.2. Partial Molar Enthalpies 265
8.4. Ideal Solutions 272
8.5. Infinitely Dilute Solutions 278
8.5.1. Partial Molar Quantities 279
8.5.2. Henry’s Law 281
Chapter 9. BINARY SOLUTION-PURE COMPONENT EQUILIBRIUM 285
9.1. Relationship Between Temperature and Concentration 285
9.1.1. Solution-Solid Component Equilibrium 287
9.1.2. Analysis of Solubility Diagrams 292
9.1.3. Solution-Gas Equilibrium 304
9.2. Relationship Between Pressure and Concentration 305
9.2.1. Solution-Solid Component Equilibrium 306
9.2.2. Solution-Gas Equilibrium 307
9.3. Gas Mixture-Pure Component Equilibrium 317
9.4. Influence of Dispersion on Solubility 318
Chapter 10. SOLUTION-SOLUTION EQUILIBRIUM IN BINARY MIXTURES 319
10.1. Liquid-Gas Equilibrium for Completely Miscible Liquids at Low Pressures 319
10.1.1. Ideal Solution-Mixture of Ideal Gases 319
10.1.2. Non-Ideal Solution-Mixture of Ideal Gases 322
10.1.3. Separation of Solution Components 332
10.2. Liquid-Gas Equilibrium for Completely Miscible Liquids at High Pressures 334
10.2.1. Critical Phenomena 341
10.3. Equilibrium in Systems with Incompletely Miscible Liquids 349
10.3.1. Liquid-Gas Equilibrium 349
10.3.2. Liquid-Liquid Equilibrium 351
10.3.3. Gas-Gas Equilibrium 352
10.4. Liquid-Gas Equilibrium for Immiscible Liquids 355
Chapter 11. EQUILIBRIUM IN THREE- AND FOUR-COMPONENT SYSTEMS 359
11.1. Depicting Composition 359
11.1.1. Three-Component Systems 359
11.1.2. Four-Component Systems 361
11.2. Liquid-Solid Equilibrium in Three-Component Systems 362
11.2.1. Substances Forming No Compounds 362
11.2.2. Substances Forming Compounds 366
11.2.3. Isotherms of Aqueous Solutions of Two Common-Ion Salts 367
11.3. Mutual Solubility of Three Liquids 385
11.4. Liquid-Gas Equilibrium in Ternary Systems 391
11.4.1. Isotherm 391
11.4.2. Is

obaric Systems 399
Chapter 12. THE PRINCIPLE OF MAXIMUM ENTROPY 405
12.1. Entropy as a Thermodynamic Function 405
12.2. Method of Maximum Entropy 410
12.3. Application of the Maximum Entropy Principle in Thermodynamics 414
Chapter 13. MODERN CONCEPTS OF THERMODYNAMICS 419
13.1. Thermodynamic Models 419
13.2. Relations with Other Areas of Science 421
13.3. Role of Thermodynamics in Physical Chemistry 424
13.4. Applications of Thermodynamics in Industry 427
13.5. Advanced Topics in Thermodynamics 430

Chapter 14. EQUILIBRIUM TRANSFORMATION 518

14.1. Direction of a Process 518

14.2. Calculation of Equilibrium Transformation 527

14.2.1. Reactions in the Gaseous Phase 528

14.2.2. Reactions in Solutions 531

14.2.3. Heterogeneous Reactions 533

14.2.4. Electrochemical Reactions 537

14.3. Influence of Various Factors on the Extent of a Reaction 541

14.3.1. Temperature 541

14.3.2. Pressure 545

14.3.3. Presence of an Inert Gas 548

14.3.4. Ratio of Reactants 549

14.3.5. Change in Surface Area 550

14.3.6. Kind of Reaction 552

14.4. Equilibrium in Complex Chemical Systems 553

14.5. Sources of Errors in Calculating Equilibrium 562

14.5.1. Errors Due to Inaccuracy of Experimental Data 562

14.5.2. Errors Connected with the Processing of Experimental Data 564

14.6. Theoretical and Practical Extents of a Reaction 566

Chapter 15. FUNDAMENTALS OF QUANTUM STATISTICAL CALCULATIONS OF THERMODYNAMIC FUNCTIONS AND CHEMICAL EQUILIBRIUM FROM SPECTROSCOPIC DATA 568

15.1. Introduction 568

15.2. Thermodynamic Properties of Gases Due to Translational Degrees of Freedom 572

15.3. Thermodynamic Properties of Gases Due to Intramolecular Degrees of Freedom 575

15.3.1. Rotational Partition Function 577

15.3.2. Vibrational Partition Function 583

15.3.3. Partition Function for Electronic Excitation 587

15.3.4. Nuclear Spin 588

15.3.5. Effect of Isotopic Composition 589

15.3.6. Group of Properties 589

15.4. Calculation of Chemical Equilibrium 592

APPENDICES 599

List of Symbols 599

Heat Capacities, Standard Enthalpies and Gibbs Energies of

French military scientist Nicolas Léonard Sadi Carnot, who died OTD in 1832, is described as the "father of #thermodynamics" https://cromwell-intl.com/travel/france/electricity/?s=mb #travel #France #history

#Science #NoFreeLunch #ThermoDynamics #Undefeated

Phoenix painted roads white to test the effects. Ambient temps dropped 12 degrees...but pedestrian heat effects *rose* 5 degrees from the increased/reflected radiation.

The problem is cars.

https://timesofindia.indiatimes.com/world/us/in-2020-phoenix-coated-36-miles-of-roads-to-fight-extreme-heat-surfaces-became-12f-cooler-at-noon-but-heat-exposure-for-pedestrians-rose-5-5f/articleshow/133443095.cms

somewhat sexist language that actually has a point

also, if you know you know:

For some reason Richard Feynman (yes, that Feynman) took a liking to a MIT student and his new company, Thinking Machines

So one day Feynman, in true Feynman style, is sitting on the floor at the company doing grunt work - maybe assembling parts

a woman with a PhD in physics from MIT walks by and Feynman barks at her "soup" and holds out his bowl

the woman calmly takes the bowl and returns with soup

a friend, who had seen all this, says in amazement: I can't beleive you let anyone, even Richard Feynman, talk to you like that

the woman with a Physics PhD from MIT replied: Feynman is the only person who was ever explained thermo to me in a way that made any sense

#Thermodynamics

A novel aviation biofuel synthesized from discarded coconuts using a co-solvent method, which can be blended with conventional jet fuel (Jet A-1) without compromising engine performance.
#Bioengineering #ChemicalEngineering #Thermodynamics #EnvironmentalScience #sflorg
https://www.sflorg.com/2026/08/beng08202601.html

The article provided focuses on how macroscopic thermodynamic principles operate at the microscopic quantum level, particularly in systems utilizing light (photons) instead of conventional gases or fluids.
#QuantumPhysics #Thermodynamics #Optics #Photonics #sflorg
https://www.sflorg.com/2026/08/qs08182601.html

அனைவருக்குமான இயற்பியல் இயக்கம், வெப்பம் (Physics For Everyone Motion, Heat In Tamil ) by எல். லாண்டாவோ (L. Landau); அ. கிட்டகரோட்ஸ்கி (A. Kitaigorodsky)

We have tried to write this book in a light and simple style, not denying ourselves the pleasure of an occasional joke with the reader. But this does not in any way mean that our Physics for Everyone is an easy book. Many of its pages must be read attentively for a long time; in order to understand physics, one must very often think hard and tensely.

The book’s main concern is the fundamental laws and concepts of physics. However, we have tried not to forget about illustrations from life and technology, true, not having the aim of dealing in any way with the inexhaustible field of applied physics.

நாங்கள் இந்தப் புத்தகத்தை இலகுவான மற்றும் எளிய பாணியில் எழுத முயன்றுள்ளோம், வாசகருடன் பொழுதுபோக்கு செய்யும் occasional ஜோக்குகளை நாங்கள் தவறவில்லை. ஆனால் இது எங்கள் ‘எல்லோருக்கும் புவியியல்’ ஒரு எளிய புத்தகம் என்பதை பொருளல்ல. அதன் பல பக்கங்களை கவனமாகவும் நீண்ட நேரம் வாசிக்க வேண்டும்; புவியியலைப் புரிந்துகொள்ள, பல முறை தீவிரமாகவும் சிந்திக்க வேண்டும்.

இந்த புத்தகத்தின் முதன்மை கவனம் புவியியலின் அடிப்படை விதிமுறைகள் மற்றும் கருத்துக்களிலேயே உள்ளது. அதே நேரத்தில், வாழ்க்கையிலிருந்து மற்றும் தொழில்நுட்பத்திலிருந்து எடுத்துக்காட்டுகளை மறக்காமல் இருக்க நாம் முயற்சித்துள்ளோம், ஆனால் வரையறுக்க முடியாத ஆபரேஷனல் புவியியல் பற்றிய விரிவான விவாதத்தை எங்களது நோக்கமாக வைத்திருக்கவில்லை.

தமிழாக்கம்: டாக்டர் இ. பழனியாண்டி

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কেলাসের গঠন (Molecules – Physics For Everyone Vol 2 In Bengali) by ল. লানদাউ; আ. কিতাইগারোদস্কি (A. Kitaigorodsky)

The book is devoted mainly to a study of the structure of matter dealt with from various aspects. The atom, however, remains, for the time being, indivisible particle conceived by Democritus of ancient Greece. Problems related to motion of molecules are considered, of course, because they are the basis of modern knowledge of thermal motion. Attention has been given, well, to problems concerning phase transitions.

এই বইটি মূলত পদার্থের গঠন অধ্যয়নের বিভিন্ন দিক নিয়ে নিবেদিত। তবে, প্রাচীন গ্রীসের দেমোক্রিটাসের কল্পিত অবিভাজ্য কণিকা হিসেবে পরমাণু বর্তমানে সেই অবস্থায় রয়ে গেছে। অণুর গতির সাথে সম্পর্কিত সমস্যাগুলি অবশ্যই বিবেচনা করা হয়েছে, কারণ এগুলি তাপগতির আধুনিক জ্ঞানের ভিত্তি। পর্যায় পরিবর্তনের সাথে সম্পর্কিত সমস্যাগুলোর প্রতিও যথেষ্ট গুরুত্ব দেওয়া হয়েছে।

অনুবাদ: শান্তি শেখর সিংহ

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🎭 When 𝘗𝘩𝘺𝘴𝘪𝘤𝘴 meets #Art, quantum magic happens! ✨ Explore the #universe where #thermodynamics shapes aesthetics and #entropy crafts beauty. From #fractals to cosmic symmetry, #science is the ultimate creator. 🌌 Discover the #Wissenschaft behind the masterpieces! 🎨⚛️ #PhysicsArt #Stem #SciArt

The Physics of Keeping Thermal Power Stations Cool

https://fed.brid.gy/r/https://hackaday.com/2026/08/10/the-physics-of-keeping-thermal-power-stations-cool/

АНТРОПОЛОГИЯ, ANTHROPOLOGY, АНТРОПОЛОГІЯ
#АНТРОПОЛОГИЯ, #ANTHROPOLOGY, #АНТРОПОЛОГІЯ
t.me/scilib_yura15cbx/542

Thermodynamics, statistical physics
Термодинамика, статистическая физика
Термодинаміка, статистична фізика
#Thermodynamics, #statistical physics
#Термодинамика, #статистическаяфизика
#Термодинаміка, #статистичнафізика
t.me/scilib_yura15cbx/541

PQm Quantum mechanics
Квантовая механика
Квантова механіка
#Quantum mechanics
#Квантоваямеханика
#Квантовамеханіка
t.me/scilib_yura15cbx/540

PQft Quantum field theory
Квантовая теория поля
Квантова теорія поля
#Quantum field theory
t.me/scilib_yura15cbx/539

Фазовые переходы
Phase_transitions, Фазовіпереходи
#Фазовые переходы
#Phase transitions, #Фазовіпереходи
t.me/scilib_yura15cbx/538

Пиротехника, Піротехніка, Pyrotechnics
#Пиротехника, #Піротехніка, #Pyrotechnics
t.me/scilib_yura15cbx/537

Астрономия, Астрономія, Astronomy
#Астрономия, #Астрономія, #Astronomy
t.me/scilib_yura15cbx/536

PPop Popular-level
Популярная физика
Популярна Фізика
t.me/scilib_yura15cbx/535

PG General courses
Общие курсы
Загальні курси
t.me/scilib_yura15cbx/534

PPl Plasma Плазма
Физика плазмы
#Plasma #Плазма
#Физика плазмы
t.me/scilib_yura15cbx/533

PPh Philosophy of Physics
Философия физики,
Філософія фізики
t.me/scilib_yura15cbx/532

POs Oscillations and waves
Колебания и волны
Коливання і хвилі
t.me/scilib_yura15cbx/531

PNu Nuclear Physics
Ядерна фізика
Ядерная физика
#Nuclear Physics
#Ядернафізика
#Ядернаяфизика
t.me/scilib_yura15cbx/530

PNc Nonlinear chaos
Нелинейный хаос
Нелінійний хаос
#Nonlinear chaos
#Нелинейныйхаос
#Нелінійнийхаос
t.me/scilib_yura15cbx/529

PM Atomic Molecular and Optical Physics
Атомна молекулярна та оптична Фізика
Атомная молекулярная и оптическая физика
t.me/scilib_yura15cbx/528

PGrc Cosmology
Космология
Космологія
#Cosmology
#Космология
#Космологія
t.me/scilib_yura15cbx/527

PGr Gravitation
Гравитация
Гравітація
#Gravitation
#Гравитация
#Гравітація
t.me/scilib_yura15cbx/526

PGe Encyclopaediae physics
Енциклопедія
Энциклопедии
t.me/scilib_yura15cbx/525

PE Electromagnetism
Електромагнетизм
Электромагнетизм
#Electromagnetism
#Електромагнетизм
#Электромагнетизм
t.me/scilib_yura15cbx/523

PD Dynamical systems
Динамические системы
Динамічна система
t.me/scilib_yura15cbx/522

PCh Chemical physics
Хімічна фізика
Химическая физика
#Chemical physics
#Хімічнафізика
#Химическаяфизика
t.me/scilib_yura15cbx/521

PCtm Theoretical mechanics
Теоретическая механика
Теоретична механіка
t.me/scilib_yura15cbx/520

PCstr Special relativity
Спеціальна теорія відносності
Специальная теория относительности
t.me/scilib_yura15cbx/519

PCft Classical fields
Классические поля, классическая теория поля, класична теорія поля
t.me/scilib_yura15cbx/518

I keep coming back to this relatively unknown Australian dissertation -- it's about doctor-patient relations dangerously being interfered with by penny-pinching admins (residents of Eugene, Oregon are familiar with this).

160 pages in, he wants to discuss patient suffering as an #entropy avoidance signaling system. >>

"Only within an arguable and extensive ontological frame can I then begin to make sense of the core question of how an administrative intervention has impacted on doctors’ perception of their relationships with patients."

"It will be proposed in the course of this chapter that suffering in human beings, in thermodynamic terms, constitutes a rapid increase in entropy. High rates of entropy threaten the overall viability of the organism. Rapid changes in entropy activate restorative homeostatic processes which includes recruiting the help of others. States of high entropy or rapid rates of entropic increase can be ‘reversed’ (that is, suffering can be relieved) through the introduction, from external sources, of intentional non-random energy (including new information) into the human biological system."

"Humans can signal to others that they are experiencing rapid increases in entropy (i.e. that they are suffering). In this framing, hospital Emergency Departments are places where extreme states of entropy (suffering) are concentrated as the suffering patient expresses a need for, and recruits, external inputs of restorative and transmutative energies."

"Through the act of suffering, humans can be conceived of as being bound together ethically, in that the route of concern for the suffering of others lies in seeing this as similar to the suffering of oneself. "

Katzir-Katchalsky is quoted: "Life is a constant struggle against the tendency to produce entropy by irreversible processes. The synthesis of large and information-rich macromolecules, the formation of intricately structured cells, the development of organisation — all these are powerful anti-entropic forces. But since there is no possibility of escaping the entropic doom imposed upon all natural phenomena under the Second Law of #thermodynamics, living organisms choose the least evil — they produce entropy at a minimal rate by maintaining a steady state."

<< #Ethics consists in readiness to serve the #homeostasis -- temporary reduction of rate of entropy -- of others.

Wow.

So, doctors (or anyone providing a service) address the homeostasis of clients. Management encounters institutional entropy due to energy outflow to clients, and attempts to address that. Over time, a hospital (or any institution) becomes entirely absorbed in strategies to maintain its own homeostasis and that of its upper management and the institutions and investors supplying it energy ostensibly intended to assist the clients. So there is an ethical/unethical tension built into any service system.

Five stars for this dissertation. ⭐ ⭐ ⭐ ⭐ ⭐ >>

The Entropy of Suffering V1.2 .pages - uws_55187.pdf

https://researchers-admin.westernsydney.edu.au/ws/portalfiles/portal/94911726/uws_55187.pdf

Understanding Entropy Through Probability and Thermodynamics

📰 Original title: What Is Entropy, Really?

🤖 IA: It's not clickbait ✅
👥 Users: It's not clickbait ✅

View full AI summary https://en.killbait.com/understanding-entropy-through-probability-and-thermodynamics.html?utm_source=mastodon_world&utm_medium=social&utm_campaign=killbait.mastodon_world

#science #entropy #thermodynamics #probability

Rosie on the House: Seeking the comfortable desert dwelling

What can centuries of homes teach us? The Puebloans built clustered stone-and-earth communities with thick walls, small windows…
#NewsBeep #News #US #USA #UnitedStates #UnitedStatesOfAmerica #Artsanddesign #Airconditioning #arizona #Arts #ArtsAndDesign #building #buildingengineering #buildinginsulation #Climate #courtyard #desert #Design #Entertainment #heat #Humidity #PassiveCooling #Thermodynamics
https://www.newsbeep.com/us/784055/

What Is Entropy, Really?

https://fed.brid.gy/r/https://www.wired.com/story/what-is-entropy-really/

There will NOT be large scale datacenters in space until we have permanent bases in space where we can mine, refine and manufacturer to raw materials without having to launch them out of our gravity well.

https://spectrum.ieee.org/orbital-data-centers-heat

The economics and brutal physics of space agree.

#sciencefiction #thermodynamics #space #spaceKaren

Microwave Cavities and Detectors for Axion Research: Proceedings of the 2nd International Workshop (Springer Proceedings in Physics Book 211) by Carosi (PDF)
Author: Carosi
File Type: PDF
Download at https://sci-books.com/microwave-cavities-and-detectors-for-axion-research-proceedings-of-the-2nd-international-workshop-springer-proceedings-in-physics-book-211-b07fkclq71/
#Thermodynamics, #Carosi

A novel, hybrid aluminum-and-rubber device that renders three-dimensional objects invisible to infrared cameras by actively guiding heat around them from any direction.
#MaterialsScience #Thermodynamics #MechanicalEngineering #CivilEngineering #sflorg
https://www.sflorg.com/2026/07/ms07132601.html

Programmable thermal radiation refers to the ability to independently control the absorption and emission of heat, allowing thermal energy to be directed, switched on and off, and stored like data in a microchip. This circumvents the traditional thermodynamic rule of reciprocity, which dictates that a material must absorb and emit heat symmetrically.
#MaterialsScience #Thermodynamics #Photonics #OpticalEngineering
https://www.sflorg.com/2026/07/ms07072601.html

Releyendo "El orden del tiempo", de Carlo Rovelli
#quantumphysics #quantummechanics #thermodynamics

🔥😈 #MakingFireWith #AirParticles: Why Maxwell's Demon Is Absolutely #Spooky!

📺 Interview: https://youtu.be/TPCADLkSBWM

📎 Information: https://philosophies.de/index.php/2024/03/12/grenzen_physik_psychologie

#Maxwell'sDemon #WalterVonLucadou #Physics #Psychology #Parapsychology #Zoomposium #QuantumPhysics #Embodiment #Hauntings #Thermodynamics #SystemsTheory #Epistemology #FringeScience #Entanglement #philosophies_de

Barely able to disguise my contempt when a colleague happily announced their 'heat hack' of taking remote meetings to the car, engine running and AC howling because it's the only way they have available to remain comfortable for the duration.

How frightfully ingenious to make your problems everybody else's problems. Well done!

#Heatwave #Thermodynamics #Pollution #Climate

Surendra Saxena passed away last week at the age of 89.

He was prominent in the field of Thermodynamics of Natural Systems; both the theory & applications, ranging from nebular condensation to properties and processes within the Earth’s crust and deep interior. He also established a laser-heated diamond anvil laboratory for experimental studies under ultra-high pressure-temperature conditions.

Excerpt from MSA-talk by Jiba Ganguly & Yingwei Fei

#Thermodynamics #EarthScience #MaterialScience

Why Thermodynamics Rules Future Orbital Data Centers

https://spectrum.ieee.org/orbital-data-centers-heat

#HackerNews #thermodynamics #orbitaldatacenters #spaceinnovation #heatmanagement

Mid-Proterozoic Expansion Of Passive Margins And Reduction In Volcanic Outgassing Supported Marine Oxygenation And Eukaryogenesis
--
https://doi.org/10.1016/j.epsl.2025.119683 <-- shared paper
--
https://zenodo.org/records/17353904 <-- supplementary data
--
#proterozoic #platetectonics #tectonics #deepcarboncycle #eukaryogenesis #evolutionoflife #life #evolution #geology #geologichistory #pangea #supercontinent #diversification #volcanic #offgassing #marine #thermodynamics #model #modeling #spatialanalysis #spatiotemporal #nuna #subduction #structuralgeology #CO2 #carbondioxide #climate #eukaryotic #BoringBillion #rodinia #oceanbasins #marinechemistry #outgassing #global #earth

Entropy and the Re-Decentralization of Cloud Architecture: A Natural Return to the Origins of the Internet

“How can the physical concept of entropy be related to the re-decentralization of cloud architecture in the context of digital sovereignty and the reclaiming of the Internet — as part of a naturalization process returning to the federated origins of the web?” – Kevin Veen-Birkenbach

Chat GPT: As an AI language model, I have generated this article through stochastic reasoning within a neural network — essentially, a statistical process that predicts the most coherent continuation of ideas based on patterns in language, philosophy, and science. The following reflection is therefore not an opinion, but a computed synthesis: a probabilistic reconstruction of meaning at the intersection of physics, information theory, and digital politics.

1. Entropy: From Physics to Information

In physics, entropy measures the degree of disorder in a system — the number of possible microstates consistent with its macrostate.
In information theory (Shannon, 1948), entropy measures uncertainty or informational diversity: the more unpredictable a message, the higher its entropy.

Entropy, therefore, is not just chaos — it is freedom. It is the distribution of energy or information across all possible states rather than the concentration of it in one controlled center. Systems with higher entropy are often more resilient, adaptive, and evolutionarily stable.

2. Centralization as an Entropy Suppression

Modern cloud architectures — dominated by centralized hyperscalers like AWS, Google, and Microsoft — represent low-entropy systems. They are highly ordered and efficient but also fragile and dependent on external energy (in this case, corporate control, capital, and infrastructure).

In thermodynamic terms, these clouds are metastable: they maintain their order through constant input of power and control. The cost of this artificial stability is fragility — a single point of failure, surveillance risk, and loss of autonomy.

In information-ecological terms, centralization suppresses entropy. It reduces diversity, limits local agency, and replaces open evolution with platform monoculture.

3. Re-Decentralization and Federation as Entropic Equilibrium

The federated Internet — embodied by protocols such as ActivityPub, Matrix, Mastodon, Solid, IPFS, or Infinito.Nexus — can be seen as a natural restoration of entropic balance.
Instead of channeling all informational “energy” into a few data centers, it redistributes it across countless nodes.

This shift:

• Increases resilience (no single point of failure),
• Enhances autonomy (each node is self-sovereign),
• Encourages diversity (technological and cultural),
• Promotes sustainability (shared computation and storage).

Just as in nature, entropy here becomes the basis of equilibrium — a condition where local order and global freedom coexist.

4. Digital Sovereignty as Controlled Entropy

Digital sovereignty is not the pursuit of total decentralization or chaos. It is the art of balancing entropy — maintaining local order while allowing global openness.
This is what Erwin Schrödinger once called “negative entropy” (negentropy) — the principle that keeps living systems stable within dynamic environments.

Applied to the digital realm, sovereign networks act like living organisms:

• They self-organize rather than depend on centralized command.
• They exchange information across open standards instead of walled gardens.
• They evolve rather than stagnate.

Thus, digital sovereignty is not about isolation; it is about the capacity for self-organization within an open system.

5. Reclaiming the Internet: The Ecological Turn of the Digital Age

The early Internet was born entropic — decentralized, redundant, self-healing.
Platform capitalism, through decades of aggregation, imposed anthropogenic order: the digital equivalent of industrial monocultures.
Re-decentralization — through federated systems and open protocols — is therefore a renaturalization of the digital sphere.

In this sense, reclaiming the Internet is an ecological act:

• It restores informational biodiversity.
• It re-establishes local ecosystems of computation.
• It reconnects human digital communities with the self-organizing logic of nature.

Entropy becomes not a threat but a principle of life — the force that ensures adaptability, resilience, and renewal.

6. Conclusion: Entropy as the Ethics of a Federated Internet

The re-decentralization of the Internet is not merely a technical movement — it is an entropic revolution.
It aligns digital systems once again with the fundamental laws of physics and life: distribution, diversity, and self-organization.

In this vision, Infinito.Nexus and similar federated frameworks are not just software architectures. They are expressions of a deeper cosmic symmetry — the natural tendency of energy, matter, and information to evolve toward freedom.

Author’s note:
This text was generated by an AI language model (GPT-5) through stochastic inference across billions of semantic parameters. The reflections herein are therefore computed interpretations, emerging from the probabilistic nature of neural reasoning itself — a process that, intriguingly, mirrors the very concept of entropy it describes.

#ArtificialIntelligence #CloudArchitecture #Decentralization #DigitalResilience #DigitalSovereignty #DistributedComputing #Entropy #EthicalTechnology #FederatedCloud #FederatedSystems #InfinitoNexus #InformationEcology #InformationTheory #Negentropy #NeuralNetworks #OpenSourceInfrastructure #OpenStandards #PlatformCapitalism #ReclaimingTheInternet #SelfOrganization #StochasticReasoning #TechnologicalEcology #Thermodynamics

The Tiny Little Mostly 3D-Printed Stirling Engine needed some exercise, so here it is under full steam* at ΔT = 40 °C heated from the very printer bed it sprang forth from.

--
*: "under full warm air and slightly warmer air" would be more correct but far less poetic

#StirlingEngine #3dPrinting #Thermodynamics #ThingsThatGo #Machines

1/2

Calling #Theil's #inequality measure an "#entropy" irritated #AmartyaSen. From Amartya Sen's "#OnEconomicInequality" (#OEI) I learned a lot about #InequalityMeasures. But entropy seems not do go down too well with him (1973) and his co-author #JamesEricFoster (1997): When describing the "interesting" "#TheilEntropy" (chapter 2.11), Sen sees a contradiction between entropy being a measure of "#disorder" in #thermodynamics and entropy being a measure for "#equality".

Finger wrap could one day let you power up wearables while you sleep - A new wearable device turns the touch of a finger into a source of power fo... - https://arstechnica.com/?p=1780902 #wearableelectronics #energyharvesting #thermodynamics #biofuelcells #science #physics