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MIT OpenCourseWare

Energy vs Entropy Diagrams for Equilibrium and Nonequilibrium States - Lecture 3

MIT OpenCourseWare via YouTube

Overview

Explore advanced thermodynamics concepts in this comprehensive lecture from MIT's Advanced Thermodynamics course, focusing on energy versus entropy diagrams and their applications in representing equilibrium and nonequilibrium states. Master fundamental principles including adiabatic availability, energy and entropy balances, and criteria for reversibility through detailed explanations and visual representations. Delve into key topics such as the Gibbs Relation, temperature, pressure, chemical potentials, and mutual equilibrium conditions. Learn to construct and interpret energy vs entropy diagrams, understand non-stable-equilibrium states, and analyze systems with upper bounded energy. The lecture, recommended to be viewed at 1.5x speed for optimal learning, includes thorough reviews of essential concepts like property energy, the Second Law of Thermodynamics, entropy balance equations, and the Maximum Entropy Principle. Access accompanying course materials, including detailed slides and a complete analytical index with timestamped references for enhanced learning.

Syllabus

- Introduction
- Review: Definition of Property Energy
- Review: Energy Balance Equation
- Review: Second Law of Thermodynamics
- Review: Definition of Temperature of a Reservoir
- Review: Definition of Property Entropy
- Review: Engineering Meaning of Entropy
- Criteria for Reversibility of a Weight Process
- Review: Entropy Balance Equation
- Review: Maximum Entropy Principle
- Review: State Principle and Fundamental Relation
- Gibbs Relation
- Temperature, Pressure, and Chemical Potentials
- Necessary Conditions for Mutual Equilibrium
- Graphical Representation of Basic Concepts
- Contruction of the Energy vs Entropy Diagram
- Representation of Non-Stable-Equilibrium States
- Special Systems with Upper Bounded Energy
- Review: Definition of Adiabatic Availability
- Representation of Adiabatic Availability
- Review: Mutual Equilibrium and Thermal Reservoir
- Representation of States of a Thermal Reservoir
- Review: Definition of Available Energy
- Representation of Available Energy
- A System in a Stable Equilibrium State Cannot...

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