Lecture 6: Free Energies, Available Energies, and Stability Conditions
Skills:
ML Maths Basics80%
MIT 2.43 Advanced Thermodynamics, Spring 2024
Instructor: Gian Paolo Beretta
View the complete course: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/
Complete course table of contents with hyperlinks to slides and video timestamps: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_toc_slides_pdf/
Complete course analytical index with hyperlinks to slides and video timestamps: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_index_slides_pdf/
YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP6309d0oJDiVo1CvxUQXJ2il
This lecture covers: Legendre transforms and characteristic functions: enthalpy; Helmholtz, Gibbs, and Euler free energies; Massieu and Planck free entropies. Maxwell relations. Available energies with respect to different reservoir kinds. LeChatelier-Braun principle (part I).
Instructor suggests to set viewing speed at 1.5 for faster learning.
Slides for this lecture: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_lec06_pdf/
Key moments:
00:00:00 - Introduction
00:03:50 - Review: Definition of Heat Interaction
00:05:36 - Energy Exchange Entirely Distinguishable from Work
00:06:08 - Steady State Heat Transfer Requires Nonequilibrium
00:08:47 - Temperature as Escaping Tendency for Energy
00:16:24 - Chemical Potential as Escaping Tendency for Matter
00:21:58 - Measurement of Stable-Equilibrium Properties
00:23:12 - Review: Thermometer
00:23:32 - Review: Manometer
00:23:42 - Review: Partial Pressures and Chemical Potentials
00:24:19 - Review: Construction of the Fundamental Relation
00:30:30 - Changing Variables by Means of Legendre Transform
00:36:50 - Characteristic Functions from Legendre Transforms
00:52:39 - Maxwell Relations; Helmholts and Gibbs Free Energy
00:57:52 - Maxwell Relations; Partial Entropy and Volume
01:01:40 - Other Characteristic Functions
01:05:15 - Massieu, Hortsmann
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Chapters (17)
Introduction
3:50
Review: Definition of Heat Interaction
5:36
Energy Exchange Entirely Distinguishable from Work
6:08
Steady State Heat Transfer Requires Nonequilibrium
8:47
Temperature as Escaping Tendency for Energy
16:24
Chemical Potential as Escaping Tendency for Matter
21:58
Measurement of Stable-Equilibrium Properties
23:12
Review: Thermometer
23:32
Review: Manometer
23:42
Review: Partial Pressures and Chemical Potentials
24:19
Review: Construction of the Fundamental Relation
30:30
Changing Variables by Means of Legendre Transform
36:50
Characteristic Functions from Legendre Transforms
52:39
Maxwell Relations; Helmholts and Gibbs Free Energy
57:52
Maxwell Relations; Partial Entropy and Volume
1:01:40
Other Characteristic Functions
1:05:15
Massieu, Hortsmann
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