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MIT OpenCourseWare

Thermodynamics of Materials

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Overview

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Explore the fundamental principles governing materials behavior through this comprehensive thermodynamics course taught by Professor Rafael Jaramillo at MIT. Master the competition between energetics and disorder that drives material properties by examining classical thermodynamic concepts within the framework of phase equilibria, transformations, and chemical reactions. Begin with foundational topics including the first and second laws of thermodynamics, entropy maximization, and thermodynamic potentials before progressing to ideal gas processes and mathematical equilibrium conditions. Investigate unary phase transitions, saturation vapor pressure calculations, and phase coexistence phenomena through detailed case studies. Advance to mixture thermodynamics covering ideal gas mixtures, reacting systems, and solution models including ideal, dilute, and regular solutions. Delve into binary phase diagram construction and interpretation, learning to analyze free energy-composition relationships and phase separation mechanisms. Discover the CALPHAD method for computational phase diagram modeling and explore statistical thermodynamics foundations including the Boltzmann hypothesis and distribution. Apply knowledge to complex multi-component, multi-phase reacting systems while examining intermediate phases and chemical reactions. Gain practical insights through supplemental demonstration videos featuring sodium acetate crystallization, gallium-indium eutectic formation, and ternary phase behavior. Access complete lecture materials, problem sets, and additional resources through MIT OpenCourseWare to develop expertise in materials thermodynamics essential for understanding phase behavior, chemical equilibria, and materials design principles.

Syllabus

Lecture 1: Introduction to Thermodynamics
Supplemental Video: Sodium Acetate Demo
Lecture 2: Scope and Use of Thermodynamics
Lecture 3: Process Variables and the First Law
Lecture 4: Heat Engines and Energy Conversion Efficiency
Lecture 5: Second Law and Entropy Maximization
Lecture 6: Thermodynamic Potentials
Lecture 7: Ideal Gas Processes
Lecture 8: Mathematical Implications of Equilibrium and Spontaneous Processes
Lecture 9: Case Studies - Specific Heats and Phase Transformations
Lecture 10: Introduction to Unary Phase Transformations
Lecture 11: Phase Coexistence in Unary Systems
Supplemental Video: The Three Dees of Thermodynamics
Lecture 12: Case Studies - Saturation Vapor Pressure
Lecture 13: Introduction to Ideal (Gas) Mixtures
Lecture 14: Reacting Gas Mixtures at Equilibrium
Lecture 15: Introduction to Solutions, General Case
Supplemental Video: The Lever Rule
Lecture 16: Partial Molar Properties
Lecture 17: Solution Models - Ideal, Dilute, and Regular
Lecture 18: Case Study in Reacting Gas Mixtures - Introducing the Nernst Equation
Lecture 19: Regular Solution Models and Stability
Lecture 20: Introduction to Binary Phase Diagrams
Lecture 21: Phase Coexistence and Separation
Lecture 22: Free Energy-Composition Diagrams, General Case
Lecture 23: Building Binary Phase Diagrams, Part I
Supplemental Video: Gallium-Indium Eutectic Demo
Lecture 24: Building Binary Phase Diagrams, Part II
Lecture 25: Building Binary Phase Diagrams, Part III
Lecture 26: CALPHAD - Case Studies and Guest Lecture
Lecture 27: Introduction to Statistical Thermodynamics
Lecture 28: Boltzmann Hypothesis
Lecture 29: Boltzmann Distribution
Lecture 30: Intermediate Phases and Reactions
Lecture 31: Reacting Multi-phase Systems
Lecture 32: Case Study - Reacting, Multi-component, Multi-phase Systems
Supplemental Video: Ternary Phase Diagram and Ouzo Demo
Supplemental Video: Ouzo Demo

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