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Lecture 7: Availability Functions and the LeChatelier-Braun Principle
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MIT 2.43 Advanced Thermodynamics, Spring 2024 - Lecture 7: Availability Functions and the LeChatelier-Braun Principle

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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.

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