Lecture 2: Second Law and Entropy; Adiabatic Availability; Maximum Entropy Principle
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: Reversible process. Statement of the Second Law. Adiabatic availability. Mutual equilibrium. Temperature of a thermal reservoir. Definition of entropy. Entropy balance. Available energy. Maximum entropy principle. Fundamental stable equilibrium relation.
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_lec02_pdf/
Key moments:
00:00:00 - Introduction
00:00:22 - Review: Course Objectives: Part I
00:00:42 - The Loaded Meaning of the Word System
00:01:56 - The Loaded Meaning of the Word Property
00:02:24 - What Exactly Do We Mean by the Word State?
00:02:44 - General Laws of Time Evolution
00:03:54 - Time Evolution, Interactions, Process
00:04:20 - Definition of Weight Process
00:04:40 - Main Consequence of the First Law: Energy
00:05:54 - Energy Balance Equation
00:07:01 - States: Steady/Unsteady/Equilibrium/Nonequilibrium
00:07:24 - Equilibrium States: Unstable/Metastable/Stable
00:08:16 - Hatsopoulos-Keenan Statement of the Second Law
00:09:44 - Consequences of First and Second Law together
00:10:45 - Theorem: Kelvin-Planck Statement of the Second Law
00:16:20 - Proof of the Kelvin-Planck Statement
00:18:39 - What Exactly Do We Mean by Reversible Process?
00:22:40 - Second Part of the Statement of the Second Law
00:24:03 - Definition of Adiabatic Availability
00:30:25 - Criterion for Reversibility of a Weight Process
00:34:23 - Mutual Equilibrium and Thermal Reservoir
00:41:05 - Feasibility of Standard Reversible Weight Process
00:47:30 - Definition of Temperature of a Thermal Reservoir
00:54:49 - Definition of Property Entropy
00:57:32 - Available Energy w.r.to a Thermal Reservoir
01:04:14 - Entropy: Engineering Meaning and Additivity
01:07:16 - Entropy Cannot Decrease in a Weight Process
01:07:38 - Criteria for Reversibility of a Weight Process
01:10:08 - Exchangeability of Entropy via Interactions
01:11:34 - Entropy Balance Equation
01:17:33 - Maximum Entropy and Minimum Energy Principles
01:25:14 - State Principle and Fundamental Relation
01:36:53 - Partial Derivatives of the Fundamental Relation
License: Creative Commons BY-NC-SA
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu
Support OCW at http://ow.ly/a1If50zVRlQ
We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
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: Reversible process. Statement of the Second Law. Adiabatic availability. Mutual equilibrium. Temperature of a thermal reservoir. Definition of entropy. Entropy balance. Available energy. Maximum entropy principle. Fundamental stable equilibrium relation.
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_lec02_pdf/
Key moments:
00:00:00 - Introduction
00:00:22 - Review: Course Objectives: Part I
00:00:42 - The Loaded Meaning of the Word System
00:01:56 - The Loaded Meaning of the Word Property
00:02:24 - What Exactly Do We Mean by the Word State?
00:02:44 - General Laws of Time Evolution
00:03:54 - Time Evolution, Interactions, Process
00:04:20 - Definition of Weight Process
00:04:40 - Main Consequence of the First Law: Energy
00:05:54 - Energy Balance Equation
00:07:01 - States: Steady/Unsteady/Equilibrium/Nonequilibrium
00:07:24 - Equilibrium States: Unstable/Metastable/Stable
00:08:16 - Hatsopoulos-Keenan Statement of the Second Law
00:09:44 - Consequences of First and Second Law together
00:10:45 - Theorem: Kelvin-Planck Statement of the Second Law
00:16:20 - Proof of the Kelvin-Planck Statement
00:18:39 - What Exactly Do We Mean by Reversible Process?
00:22:40 - Second Part of the Statement of the Second Law
00:24:03 - Definition of Adiabatic Availability
00:30:25 - Criterion for Reversibility of a Weight Process
00:34:23 - Mutual Equilibrium and Thermal Reservoir
00:41:05 - Feasibility of Standard Reversible Weight Process
00:47:30 - Definition of Temperature of a Thermal Reservoir
00:54:49 - Definition of Property Entropy
00:57:32 - Available Energy w.r.to a Thermal Reservoir
01:04:14 - Entropy: Engineering Meaning and Additivity
01:07:16 - Entropy Cannot Decrease in a Weight Process
01:07:38 - Criteria for Reversibility of a Weight Process
01:10:08 - Exchangeability of Entropy via Interactions
01:11:34 - Entropy Balance Equation
01:17:33 - Maximum Entropy and Minimum Energy Principles
01:25:14 - State Principle and Fundamental Relation
01:36:53 - Partial Derivatives of the Fundamental Relation
License: Creative Commons BY-NC-SA
More information at https://ocw.mit.edu/terms
More courses at https://ocw.mit.edu
Support OCW at http://ow.ly/a1If50zVRlQ
We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.
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