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MIT OpenCourseWare

Free Energies, Available Energies, and Stability Conditions - Lecture 6

MIT OpenCourseWare via YouTube

Overview

Explore advanced thermodynamics concepts in this 93-minute lecture from MIT's Advanced Thermodynamics course, where Professor Gian Paolo Beretta delves into free energies, available energies, and stability conditions. Master key concepts including Legendre transforms and characteristic functions, examining enthalpy, Helmholtz, Gibbs, and Euler free energies, as well as Massieu and Planck free entropies. Learn about Maxwell relations and available energies with respect to different reservoir types, and begin understanding the LeChatelier-Braun principle. Starting with a review of heat interaction fundamentals, progress through topics like temperature as energy escaping tendency, chemical potentials, stable-equilibrium properties measurement, and the construction of fundamental relations. Gain practical insights into thermodynamic principles through detailed explanations of measurement tools like thermometers and manometers. For optimal learning efficiency, viewing at 1.5x speed is recommended.

Syllabus

- Introduction
- Review: Definition of Heat Interaction
- Energy Exchange Entirely Distinguishable from Work
- Steady State Heat Transfer Requires Nonequilibrium
- Temperature as Escaping Tendency for Energy
- Chemical Potential as Escaping Tendency for Matter
- Measurement of Stable-Equilibrium Properties
- Review: Thermometer
- Review: Manometer
- Review: Partial Pressures and Chemical Potentials
- Review: Construction of the Fundamental Relation
- Changing Variables by Means of Legendre Transform
- Characteristic Functions from Legendre Transforms
- Maxwell Relations; Helmholts and Gibbs Free Energy
- Maxwell Relations; Partial Entropy and Volume
- Other Characteristic Functions
- Massieu, Hortsmann-Planck, and Euler Free Entropy
- Availability Functions
- Available Energy Fixed Volume and Amounts
- Stability Conditions from Available Energy
- LeChatelier-Braun Principle Part I

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MIT OpenCourseWare

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