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Massachusetts Institute of Technology

Advanced Thermodynamics

Massachusetts Institute of Technology via MIT OpenCourseWare

Overview

This course is a self-contained concise review of general thermodynamics concepts, multicomponent equilibrium properties, chemical equilibrium, electrochemical potentials, and chemical kinetics, as needed to introduce the methods of nonequilibrium thermodynamics and to provide a unified understanding of phase equilibria, transport, and nonequilibrium phenomena useful for future energy and climate engineering technologies. Applications include second-law efficiencies and methods to allocate primary energy consumptions and CO₂ emissions in cogeneration and hybrid power systems, minimum work of separation, maximum work of mixing, osmotic pressure and membrane equilibria, metastable states, spinodal decomposition, and Onsager’s near-equilibrium reciprocity in thermodiffusive, thermoelectric, and electrokinetic cross effects.

Syllabus

  • Lecture 1: Definitions of System, Property, State, and Weight Process; First Law and Energy
  • Lecture 2: Second Law and Entropy; Adiabatic Availability; Maximum Entropy Principle
  • Lecture 3: Energy vs Entropy Diagrams to Represent Equilibrium and Nonequilibrium States
  • Lecture 4: Temperature, Pressure, Chemical Potentials; the Clausius Statement of the Second Law
  • Lecture 5: Definition of Heat Interaction; First and Second Law Efficiencies
  • Lecture 6: Free Energies, Available Energies, and Stability Conditions
  • Lecture 7: Availability Functions and the LeChatelier-Braun Principle
  • Lecture 8: Few versus Many Particles: The Euler Relation; Review of Various Forms of Exergy (Part I)
  • Lecture 9: Minimum Work of Partitioning Small Systems; The Gibbs Phase Rule; The Van der Waals Model
  • Lecture 10: Review of Various Forms of Exergy (Part II); Allocation of Consumptions in Cogeneration
  • Lecture 11: Allocation in Hybrid Power Production; Chemical Potentials and Partial Pressures
  • Lecture 12: Ideal Mixture Behavior; Work from Reversible Mixing; Entropy of Irreversible Mixing
  • Lecture 13: The Gibbs Paradox; Shannon Information Entropy; Single Quantum Particle in a Box
  • Lecture 14: Ideal Solution Model; Osmotic Pressure; Blue Energy; Minimum Work of Separation
  • Lecture 15: Stratification in Gas and Liquid Mixtures; Liquid-Vapor Spinodal Decomposition
  • Lecture 16: Liquid-Vapor Equilibria in Mixtures; Ideal and Excess Chemical Potentials
  • Lecture 17: Liquid-Liquid Spinodal Decomposition; Introduction to Systems with Chemical Reactions
  • Lecture 18: Properties of Reaction; Heating Values and Exergy of Fuels; Adiabatic Flame Temperature
  • Lecture 19: Affinity and Nonequilibrium Law of Mass Action; Potential Energy Surface
  • Lecture 20: Chemical Kinetics; The Arrhenius Law; Degree of Disequilibrium; Principle of Detailed Balance
  • Lecture 21: Introduction to Nonequilibrium Theory; Onsager Reciprocity and Maximum Entropy Production
  • Lecture 22: Definition of “Heat&Diffusion” Interaction; Diffusive and Convective Fluxes
  • Lecture 23: Direct and Cross Effects; General Principles of Entropy Production; The Fourth Law
  • Lecture 24: Relative Diffusion Fluxes; Thermoelectric Effects
  • Lecture 25: Thermodiffusive Effects; Multicomponent Transport

Taught by

Prof. Gian Paolo Beretta

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