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2021　Thermodynamics for Phase Equilibria

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Academic unit or major
Graduate major in Materials Science and Engineering
Instructor(s)
Sone Masato  Tahara Masaki 
Class Format
Lecture     
Media-enhanced courses
Day/Period(Room No.)
Mon3-4()  Thr3-4()  
Group
-
Course number
MAT.M409
Credits
2
Academic year
2021
Offered quarter
1Q
Syllabus updated
2021/9/21
Lecture notes updated
-
Language used
English
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Course description and aims

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.

Student learning outcomes

・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 that will be developed

✔ 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/Required learning

  Course schedule Required learning
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

Out-of-Class Study Time (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

Assessment criteria and methods

Evaluation by examinations.

Related courses

  • MAT.A204 ： Thermodynamics of Materials

Prerequisites (i.e., required knowledge, skills, courses, etc.)

None required

Other

None required

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