2025 (Current Year) Faculty Courses School of Materials and Chemical Technology Department of Materials Science and Engineering Graduate major in Materials Science and Engineering
Thermodynamics for Phase Equilibria
- Academic unit or major
- Graduate major in Materials Science and Engineering
- Instructor(s)
- Masato Sone / Tso-Fu Chang
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 3-4 Tue / 3-4 Fri
- Class
- -
- Course Code
- MAT.M409
- Number of credits
- 200
- Course offered
- 2025
- Offered quarter
- 1Q
- Syllabus updated
- Mar 19, 2025
- Language
- English
Syllabus
Course overview and goals
Thermodynamics is one of the most important fundamental sciences. In this lecture, the fundamental aspects in thermodynamics of materials science are explained on the focus of metallic alloys which are relatively easy in analytical treatments. Through precise reviewing the fundamental thermodynamic principles "first and second laws of thermodynamics", students understand stability conditions of thermodynamic systems such as "the energy minimum principle" and "the entropy maximum principle". The equilibrium state of materials can be described by the fundamental equation. On this concept, thermodynamic calculation of equilibrium phase diagram is introduced.
Course description and aims
・Students acquire basic knowledge of the basic laws and principles in thermodynamics.
・Students understand relationships between the independent and conjugate variables of the fundamental equation.
・Students understand equilibrium states for given combination of the independent variables.
Keywords
Internal energy, entropy, first law, second law, fundamental equation, Equilibrium, Legendre transformation, Maxwell relations, Jacobian, Gibbs phase rule, regular solution
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
On handouts, every topics of the classes are explained.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | First and second laws of thermodynamics | Explain concept of first and second laws of thermodynamics |
| Class 2 | The internal energy and the entropy | Explain concept of internal energy and entropy |
| Class 3 | The fundamental equation and the conjugate variable | Explain the fundamental equation in thermodynamics and the independent and conjugate variables |
| Class 4 | The fundamental equation of multicomponent system | Explain the fundamental equation of multicomponent system in thermodynamics |
| Class 5 | Evaluation of equilibrium state | Explain concept of equilibrium state |
| Class 6 | Legendre transformation | Explain concept of Legendre transformation |
| Class 7 | The Maxwell relations | Explain concept of the Maxwell relations |
| Class 8 | The extremum princip for various fundamental equations | Explain concept of extremum principle for various fundamental equations |
| Class 9 | Equilibrium state and reversible process | Explain equilibrium state and reversible process in thermodynamics |
| Class 10 | Phase equilibiria for multicomponent system | Explain concept of phase equilibria for multicomponent system |
| Class 11 | Gibbs phase rule | Explain concept of Gibbs phase rule and the application |
| Class 12 | Thermodynamic caliculation of equilibrium phase diagram | Explain detail in thermodynamic calculation of equilibrium phase diagram |
| Class 13 | Regular solution | Explain concept of regular solution |
| Class 14 | Driving force in precipitation reaction | Explain driving force in precipitation reaction |
Study advice (preparation and review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
TBD
Reference books, course materials, etc.
Handouts
Evaluation methods and criteria
Evaluation by examinations.
Related courses
- MAT.A204 ： Thermodynamics of Materials
Prerequisites
None required
Office hours
Contact by email
Other
None required