Lecture 16: Liquid-Vapor Equilibria in Mixtures; Ideal and Excess Chemical Potentials
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: Liquid-vapor equilibria in mixtures. Raoult’s law. Dew line and bubble line. Distillation. Freezing point depression. Boiling point elevation. Non-ideal mixtures. Duhem-Margules relations. Ideal and excess Gibbs free energy and chemical potentials.
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_lec16_pdf/
Key moments:
00:00:00 - Introduction
00:00:33 - Review: Liquid-Vapor Equilibria in Ideal Mixtures
00:02:30 - Raoult's Law
00:27:10 - Principles of Distillation
00:34:16 - Freezing Point Depression; Boiling Point Elevation
00:41:08 - Non-Ideal Mixtures
00:41:43 - Mixture Properties from the Partial Properties
00:43:24 - Duhem-Margules Relation; Excess Mixing Properties
00:56:31 - Simple and Complex Model Relations for Mixtures
01:12:34 - Activities and Activity Coefficients
01:15:25 - Fugacities and Fugacity Coefficients
01:17:53 - Activities for the Margules and Van Laar Models
01:18:37 - Liquid-Vapor Equilibrium with the Van Laar Model
01:22:44 - Lennard-Jones Binary Mixture
01:28:02 - Liquid-Vapor Equilibria for Non-Ideal Mixtures
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: Liquid-vapor equilibria in mixtures. Raoult’s law. Dew line and bubble line. Distillation. Freezing point depression. Boiling point elevation. Non-ideal mixtures. Duhem-Margules relations. Ideal and excess Gibbs free energy and chemical potentials.
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_lec16_pdf/
Key moments:
00:00:00 - Introduction
00:00:33 - Review: Liquid-Vapor Equilibria in Ideal Mixtures
00:02:30 - Raoult's Law
00:27:10 - Principles of Distillation
00:34:16 - Freezing Point Depression; Boiling Point Elevation
00:41:08 - Non-Ideal Mixtures
00:41:43 - Mixture Properties from the Partial Properties
00:43:24 - Duhem-Margules Relation; Excess Mixing Properties
00:56:31 - Simple and Complex Model Relations for Mixtures
01:12:34 - Activities and Activity Coefficients
01:15:25 - Fugacities and Fugacity Coefficients
01:17:53 - Activities for the Margules and Van Laar Models
01:18:37 - Liquid-Vapor Equilibrium with the Van Laar Model
01:22:44 - Lennard-Jones Binary Mixture
01:28:02 - Liquid-Vapor Equilibria for Non-Ideal Mixtures
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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