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MIT OpenCourseWare

Availability Functions and the LeChatelier-Braun Principle - Lecture 7

MIT OpenCourseWare via YouTube

Overview

Explore advanced thermodynamics concepts in this MIT lecture focusing on availability functions and the LeChatelier-Braun principle. Master key mathematical tools including Jacobian determinants, cyclic relations, and Mayer relations before diving into various forms of available energy analysis under different conditions (fixed volume, variable volume, and varying amounts). Learn how to determine stability conditions for equilibrium states and understand the broad applications of the LeChatelier-Braun principle, concluding with practical examples using air springs. Recommended to watch at 1.5x speed for optimal learning efficiency, with comprehensive slides and timestamps available for reference through MIT OpenCourseWare.

Syllabus

- Introduction
- Review: Legendre Transform
- Review: Characteristic Functions
- Review: Maxwell Relations
- Jacobian Determinants
- Cyclic Relation
- Mayer Relation
- Back to Availability Functions
- Available Energy Fixed Volume and Amounts
- Stability Conditions from Available Energy
- Stability and LeChatelier-Braun Principle
- Available Energy Variable Volume, Fixed Amounts
- Stability Conditions that Follow
- Available Energy One Variable Amount
- Stability Conditions that Follow
- Available Energy Variable Volume and All Amounts
- Stability Conditions that Follow
- Other Stability Conditions
- Stability and LeChatelier-Braun Principle Part I
- LeChatelier-Braun Principle General Statement
- LeChatelier-Braun Principle Example: Air Springs

Taught by

MIT OpenCourseWare

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