MIT OpenCourseWare: Free Courses from the institute

MIT OpenCourseWare

A free and open online publication of educational material from thousands of MIT courses, covering the entire MIT curriculum, ranging from introductory to the most advanced graduate courses. On the OCW website, each course includes a syllabus, instructional material like notes and reading lists, and learning activities like assignments and solutions. Some courses also have videos, online textbooks, and faculty insights on teaching.Knowledge is your reward. There's no signup or enrollment, and no start or end dates. OCW is self-paced learning at its best. Whether you’re a student, a teacher, or simply a curious person that wants to learn, MIT OpenCourseWare (OCW) offers a wealth of insight, inspiration, videos, and a whole lot more! Get the full picture on the OCW website at https://ocw.mit.edu.Accessibility: https://accessibility.mit.edu/ User comments policy: https://ocw.mit.edu/comments/(Channel banner photo by Nietnagel on Flickr: https://flic.kr/p/8WXxfK.)Links:MIT OpenCourseWare: https://ocw.mit.eduFacebook: https://facebook.com/mitocwTwitter: https://twitter.com/mitocwInstagram: https://www.instagram.com/mitocwDonate to OCW: https://giving.mit.edu/give/to/ocw/?utm_source=ocw&utm_medium=youtube&utm_campaign=donateBlog: https://www.ocw-openmatters.org/

  1. 1h ago

    Lecture 3: Energy vs Entropy Diagrams to Represent Equilibrium and Nonequilibrium States

    MIT 2.43 Advanced Thermodynamics, Spring 2024Instructor: Gian Paolo BerettaUploaded 05-12-24View 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=PLUl4u3cNGP6309d0oJDiVo1CvxUQXJ2ilThis lecture covers: Energy vs entropy diagrams to represent equilibrium and nonequilibrium states, adiabatic availability, available energy. Energy and entropy balances. Criteria for reversibility. Minimum entropy decrease to extract energy from a stable equilibrium 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_lec03_pdf/Key moments:00:00:00 - Introduction00:01:27 - Review: Definition of Property Energy00:03:17 - Review: Energy Balance Equation00:05:14 - Review: Second Law of Thermodynamics00:07:40 - Review: Definition of Temperature of a Reservoir00:07:56 - Review: Definition of Property Entropy00:09:41 - Review: Engineering Meaning of Entropy00:11:36 - Criteria for Reversibility of a Weight Process00:14:29 - Review: Entropy Balance Equation00:18:07 - Review: Maximum Entropy Principle00:20:10 - Review: State Principle and Fundamental Relation00:23:35 - Gibbs Relation00:25:19 - Temperature, Pressure, and Chemical Potentials00:49:32 - Necessary Conditions for Mutual Equilibrium00:53:22 - Graphical Representation of Basic Concepts00:54:20 - Contruction of the Energy vs Entropy Diagram00:57:11 - Representation of Non-Stable-Equilibrium States 01:01:47 - Special Systems with Upper Bounded Energy01:22:07 - Review: Definition of Adiabatic Availability01:23:39 - Representation of Adiabatic Availability01:27:32 - Review: Mutual Equilibrium and Thermal Reservoir01:33:52 - Representation of States of a Thermal Reservoir01:34:45 - Review: Definition of Available Energy01:36:13 - Representation of Available Energy01:43:32 - A System in a Stable Equilibrium State Cannot...License: Creative Commons BY-NC-SAMore information at https://ocw.mit.edu/termsMore courses at https://ocw.mit.eduSupport OCW at http://ow.ly/a1If50zVRlQWe 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. Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices

    Lecture 3: Energy vs Entropy Diagrams to Represent Equilibrium and Nonequilibrium States
  2. 3h ago

    Lecture 12: Ideal Mixture Behavior; Work from Reversible Mixing; Entropy of Irreversible Mixing

    MIT 2.43 Advanced Thermodynamics, Spring 2024Instructor: Gian Paolo BerettaUploaded 05-12-24View 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=PLUl4u3cNGP6309d0oJDiVo1CvxUQXJ2ilThis lecture covers: Mixture properties from partial properties. Properties of mixing. Lennard-Jones potential and the ideal gas. Ideal Gibbs-Dalton behavior and Dalton law. Mixtures of ideal gases. Amagat law. Entropy of irreversible mixing. Work from reversible mixing.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_lec12_pdf/Key moments:00:00:00 - Introduction00:00:18 - Review: Stable-Equilibrium Properties of Mixtures00:01:48 - Review: Central Role of Chemical Potentials00:05:24 - Mixture Properties from the Partial Properties00:06:33 - Properties of Isothermobaric Mixing00:29:10 - Partial Properties in Terms of Partial Pressures00:31:07 - Lennard-Jones Model of Intermolecular Forces00:45:54 - Ideal Gibbs-Dalton Behavior01:03:06 - Ideal Gibbs-Dalton Mixtures of Ideal Gases01:11:59 - Mixing of Ideal Gases; Entropy of Mixing01:30:49 - Extracting the Adiabatic Availability of MixingLicense: Creative Commons BY-NC-SAMore information at https://ocw.mit.edu/termsMore courses at https://ocw.mit.eduSupport OCW at http://ow.ly/a1If50zVRlQWe 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. Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices

    Lecture 12: Ideal Mixture Behavior; Work from Reversible Mixing; Entropy of Irreversible Mixing
  3. 5h ago

    Lecture 7: Availability Functions and the LeChatelier-Braun Principle

    MIT 2.43 Advanced Thermodynamics, Spring 2024Instructor: Gian Paolo BerettaUploaded 05-12-24View 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=PLUl4u3cNGP6309d0oJDiVo1CvxUQXJ2ilThis 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 - Introduction00:00:16 - Review: Legendre Transform00:02:39 - Review: Characteristic Functions00:02:57 - Review: Maxwell Relations00:03:10 - Jacobian Determinants00:17:57 - Cyclic Relation00:25:22 - Mayer Relation00:30:01 - Back to Availability Functions00:30:09 - Available Energy (Fixed Volume and Amounts)00:38:59 - Stability Conditions from Available Energy00:39:57 - Stability and LeChatelier-Braun Principle00:41:26 - Available Energy (Variable Volume, Fixed Amounts)00:48:26 - Stability Conditions that Follow00:57:54 - Available Energy (One Variable Amount)01:11:05 - Stability Conditions that Follow01:11:53 - Available Energy (Variable Volume and All Amounts)01:15:26 - Stability Conditions that Follow01:16:31 - Other Stability Conditions01:19:38 - Stability and LeChatelier-Braun Principle (Part I)01:19:52 - LeChatelier-Braun Principle (General Statement)01:37:55 - LeChatelier-Braun Principle Example: Air SpringsLicense: Creative Commons BY-NC-SAMore information at https://ocw.mit.edu/termsMore courses at https://ocw.mit.eduSupport OCW at http://ow.ly/a1If50zVRlQWe 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. Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices

    Lecture 7: Availability Functions and the LeChatelier-Braun Principle

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A free and open online publication of educational material from thousands of MIT courses, covering the entire MIT curriculum, ranging from introductory to the most advanced graduate courses. On the OCW website, each course includes a syllabus, instructional material like notes and reading lists, and learning activities like assignments and solutions. Some courses also have videos, online textbooks, and faculty insights on teaching.Knowledge is your reward. There's no signup or enrollment, and no start or end dates. OCW is self-paced learning at its best. Whether you’re a student, a teacher, or simply a curious person that wants to learn, MIT OpenCourseWare (OCW) offers a wealth of insight, inspiration, videos, and a whole lot more! Get the full picture on the OCW website at https://ocw.mit.edu.Accessibility: https://accessibility.mit.edu/ User comments policy: https://ocw.mit.edu/comments/(Channel banner photo by Nietnagel on Flickr: https://flic.kr/p/8WXxfK.)Links:MIT OpenCourseWare: https://ocw.mit.eduFacebook: https://facebook.com/mitocwTwitter: https://twitter.com/mitocwInstagram: https://www.instagram.com/mitocwDonate to OCW: https://giving.mit.edu/give/to/ocw/?utm_source=ocw&utm_medium=youtube&utm_campaign=donateBlog: https://www.ocw-openmatters.org/