Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

MIT OpenCourseWare

Minimum Work of Partitioning, Gibbs Phase Rule, and Van der Waals Model in Advanced Thermodynamics - Lecture 9

MIT OpenCourseWare via YouTube

Overview

Learn advanced thermodynamics concepts in this MIT OpenCourseWare lecture focusing on the minimum work required for partitioning small systems, equilibrium properties of pure substances, and the Gibbs phase rule. Explore the Clausius-Clapeyron relation and its representation across various diagrams including p-T, u-v-s, h-s, and p-v. Delve into the van der Waals model of metastable liquid and vapor states through comprehensive coverage of topics ranging from microscopic and mesoscopic systems to extensive and intensive properties. Master fundamental concepts like the Euler relation, rarefaction effects, and simple-system models for pure substances. Examine practical applications through detailed discussions of ideal incompressible solids, fluid models, and two-phase states. Conclude with insights into exergies, efficiencies in energy conversion, and bulk flow interactions. The instructor recommends viewing at 1.5x speed for optimal learning efficiency.

Syllabus

- Introduction
- Results So Far Hold for Large and Small Systems
- Review: Microscopic and Mesoscopic vs Macroscopic
- Review: Rarefaction Effects Near Walls
- Review: Neglecting Effects of Partitions
- Review: Simple-System Model Limiting Assumptions
- Review: Simple-System Model Implies Euler Relation
- Review: Main Consequence of Euler Relation
- Small Systems: Specific Properties Dependences
- Small Systems: Minimum Work of Partitioning
- Basic Simple-System Models for Pure Substances
- Extensive Properties Definition
- Specific Properties Definition
- Intensive Properties and Intensive State
- Homogeneous vs Heterogeneous States; Phases
- Gibbs Phase Rule Proof
- Gibbs Phase Rule for a Pure Substance
- Fundamental Relation for a Pure Substance
- Ideal Incompressible Solid or Fluid Model
- Ideal Gas Model
- Two-Phase States of a Pure Substance
- Properties Liquid-Vapor States of a Pure Substance
- Graphical Representation of Fundamental Relation
- The u-s-v Fundamental Surface Water
- The Mollier h-s Diagram Water
- The $p$-$v$ Diagram Water
- The $p$-$v$ Diagram Van der Waals Model
- Exergies and Efficiencies in Energy Conversion
- Exergy and Second-Law Efficiency in Cogeneration
- Exergy of Bulk Flow Interactions

Taught by

MIT OpenCourseWare

Reviews

Start your review of Minimum Work of Partitioning, Gibbs Phase Rule, and Van der Waals Model in Advanced Thermodynamics - Lecture 9

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.