Metallurgical Thermodynamics & Kinetics
(MME 202) B.Tech, 3rd Semester
Prepared by: Name (1): Dinesh Kumar Mishra Email: [email protected] Phone: +91 7205615022
Name (2): Renu Kumari Name (3): Dr. Sushant Kumar BadJena Email: [email protected] Email: [email protected] Phone: +91 95644 52009 Phone: +91 84559 38473
Department of Metallurgy & Materials Engineering
Veer Surendra Sai University of Technology, Burla, Sambalpur, Odisha CONTENTS
1. Introduction to Thermodynamics 01-07 1.1 Thermodynamics 01 1.2 Process 03 1.3 Property 03 1.4 Equation of States 03 1.5 Simple Equilibrium 04 1.6 Thermodynamic Equilibrium 05 1.7 Internal Energy 05 1.8 Phase Diagram 05 1.9 Gibbs Phase Rule 07
2. First Law of Thermodynamics 08-15 2.1 First Law of Thermodynamics 08 2.2 Heat Capacity 09 2.3 Enthalpy 11 2.4 Hess’s Law 11 2.5 Kirchhoff’s Law 12 2.6 Thermo Chemistry & its Applications 13 2.7 Adiabatic & Isothermal Process 14
3. Second Law of Thermodynamics 16-20 3.1 Second Law of Thermodynamics 16 3.2 Entropy 16 3.3 Entropy of a Perfect Gas 18 3.4 Temperature Dependence of Entropy 19 3.5 Reversible & Irreversible Process 20
4. Auxiliary Functions & Relations, Criteria for Equilibria 21-26 4.1 Free Energy 21 4.2 Combined Expressions of First & Second Law of Thermodynamics 22 4.3 Criteria of Thermodynamic Equilibria 23 4.4 Gibbs Helmholtz Equation 23 4.5 Maxwell’s Relation 24 4.6 Transformation Formula 26
5. Third Law of Thermodynamics, Statistical Thermodynamics 27-33 5.1 Third Law of Thermodynamics 27 5.2 Statistical Thermodynamics 27 5.3 Postulates of Statistical Thermodynamics 28 5.4 Stalin Formula 30 5.5 Relationship between Statistical Interpretations of Entropy 30 5.6 Debye & Einstein Concept of Heat Capacity 32
6. Fugacity 34-41 6.1 Escaping Tendency 34 6.2 Fugacity 34 6.3 Arrhenius Equation 35 6.4 Activity 36 6.5 Equilibrium Constant 37 6.6 Use of S Function 39 6.7 Ellingham-Richardson Diagram 39
7. Thermodynamics of Solutions 42-70 7.1 Ideal & Non-Ideal Solutions 42 7.2 Partial & Integral Molar Quantities 44 7.3 Gibbs-Duhem Equation 45 7.4 Activity vs Mole Fraction (Henry’s Law) 48 7.5 Regular Solutions 51 7.6 Quasi-Chemical Approach to Solutions 53 7.7 Sievert’s Law 55 7.8 One Weight Percent Standard State 57 7.9 Chemical Potential 60 7.10 Free Energy Diagram for Binary Alloys Systems 63 7.11 Experimental Determination of Phase Diagrams 65 7.12 Clapeyron Equation 69
8. Topochemical Reaction 71-79 8.1 Topochemical Reaction 71 8.2 Johnson-Mehl’s Equation 73 8.3 Types of Reaction 75 8.4 Reaction of Lumps 77 8.5 Important Notes 78 8.6 Difference between Molecularity & Order of the Reaction 79
9. Electrometallurgy 80-88 9.1 Thermodynamics of Electrometallurgy Cells 80 9.2 Thermodynamics of Reversible Galvanic Cells 85 9.3 Relation between Cell EMF (E) & Free Energy of Cell Reaction ( G) 86
횫 10. Miscellaneous 89-100 10.1 Phase Stability Diagrams 89 10.2 Defects in Thermodynamics 90 10.3 Thermal Analysis 91 10.4 Homogeneous & Heterogeneous Equilibria 98 10.5 Controlled Atmosphere (CA) 98
CHAPTER-1 INTRODUCTION TO THERMODYNAMICS
1.1 THERMODYNAMICS: It is the subject which dealing with the relation between heat and motion. Development of metallurgical Thermodynamic occurs due to the application of chemical thermodynamics to the metals & materials which later on known as Thermodynamics of materials. 1.1.1 Importance of Thermodynamics: 1. It gives the idea about feasibility of the process. 2. It gives the idea about end product & its stability. 3. It is useful in calculation of heat values. Let us consider a reaction,