Lecture 7: Availability Functions and the LeChatelier-Braun 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: Jacobian determinants, cyclic relation, Mayer relation. Availability functions and criteria for the stability of equilibrium. LeChatelier-Braun principle (part II). Maximum work from a nonequilibrium state, minimum work to produce a nonequilibrium state.
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_lec07_pdf/
Key moments:
00:00:00 - Introduction
00:00:16 - Review: Legendre Transform
00:02:39 - Review: Characteristic Functions
00:02:57 - Review: Maxwell Relations
00:03:10 - Jacobian Determinants
00:17:57 - Cyclic Relation
00:25:22 - Mayer Relation
00:30:01 - Back to Availability Functions
00:30:09 - Available Energy (Fixed Volume and Amounts)
00:38:59 - Stability Conditions from Available Energy
00:39:57 - Stability and LeChatelier-Braun Principle
00:41:26 - Available Energy (Variable Volume, Fixed Amounts)
00:48:26 - Stability Conditions that Follow
00:57:54 - Available Energy (One Variable Amount)
01:11:05 - Stability Conditions that Follow
01:11:53 - Available Energy (Variable Volume and All Amounts)
01:15:26 - Stability Conditions that Follow
01:16:31 - Other Stability Conditions
01:19:38 - Stability and LeChatelier-Braun Principle (Part I)
01:19:52 - LeChatelier-Braun Principle (General Statement)
01:37:55 - LeChatelier-Braun Principle Example: Air Springs
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: Jacobian determinants, cyclic relation, Mayer relation. Availability functions and criteria for the stability of equilibrium. LeChatelier-Braun principle (part II). Maximum work from a nonequilibrium state, minimum work to produce a nonequilibrium state.
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_lec07_pdf/
Key moments:
00:00:00 - Introduction
00:00:16 - Review: Legendre Transform
00:02:39 - Review: Characteristic Functions
00:02:57 - Review: Maxwell Relations
00:03:10 - Jacobian Determinants
00:17:57 - Cyclic Relation
00:25:22 - Mayer Relation
00:30:01 - Back to Availability Functions
00:30:09 - Available Energy (Fixed Volume and Amounts)
00:38:59 - Stability Conditions from Available Energy
00:39:57 - Stability and LeChatelier-Braun Principle
00:41:26 - Available Energy (Variable Volume, Fixed Amounts)
00:48:26 - Stability Conditions that Follow
00:57:54 - Available Energy (One Variable Amount)
01:11:05 - Stability Conditions that Follow
01:11:53 - Available Energy (Variable Volume and All Amounts)
01:15:26 - Stability Conditions that Follow
01:16:31 - Other Stability Conditions
01:19:38 - Stability and LeChatelier-Braun Principle (Part I)
01:19:52 - LeChatelier-Braun Principle (General Statement)
01:37:55 - LeChatelier-Braun Principle Example: Air Springs
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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