Lecture 9: Minimum Work of Partitioning Small Systems; The Gibbs Phase Rule; The Van der Waals Model
Skills:
ML Maths Basics60%
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: Minimum work of partitioning small systems. Review of equilibrium properties of pure substances. Gibbs phase rule. Clausius-Clapeyron relation. Representation on p-T, u-v-s, h-s, p-v diagrams. The van der Waals model of metastable liquid and vapor states.
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_lec09_pdf/
Key moments:
00:00:00 - Introduction
00:00:09 - Results So Far Hold for Large and Small Systems
00:00:53 - Review: Microscopic and Mesoscopic vs Macroscopic
00:02:18 - Review: Rarefaction Effects Near Walls
00:04:06 - Review: Neglecting Effects of Partitions
00:04:24 - Review: Simple-System Model Limiting Assumptions
00:04:58 - Review: Simple-System Model Implies Euler Relation
00:07:19 - Review: Main Consequence of Euler Relation
00:08:20 - Small Systems: Specific Properties Dependences
00:11:50 - Small Systems: Minimum Work of Partitioning
00:18:21 - Basic Simple-System Models for Pure Substances
00:19:02 - Extensive Properties (Definition)
00:21:45 - Specific Properties (Definition)
00:24:20 - Intensive Properties and Intensive State
00:26:48 - Homogeneous vs Heterogeneous States; Phases
00:32:29 - Gibbs Phase Rule (Proof)
00:39:25 - Gibbs Phase Rule (for a Pure
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Chapters (17)
Introduction
0:09
Results So Far Hold for Large and Small Systems
0:53
Review: Microscopic and Mesoscopic vs Macroscopic
2:18
Review: Rarefaction Effects Near Walls
4:06
Review: Neglecting Effects of Partitions
4:24
Review: Simple-System Model Limiting Assumptions
4:58
Review: Simple-System Model Implies Euler Relation
7:19
Review: Main Consequence of Euler Relation
8:20
Small Systems: Specific Properties Dependences
11:50
Small Systems: Minimum Work of Partitioning
18:21
Basic Simple-System Models for Pure Substances
19:02
Extensive Properties (Definition)
21:45
Specific Properties (Definition)
24:20
Intensive Properties and Intensive State
26:48
Homogeneous vs Heterogeneous States; Phases
32:29
Gibbs Phase Rule (Proof)
39:25
Gibbs Phase Rule (for a Pure
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