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.
・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.
Internal energy, entropy, first law, second law, fundamental equation, Equilibrium, Legendre transformation, Maxwell relations, Jacobian, Gibbs phase rule, regular solution
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
On handouts, every topics of the classes are explained.
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 the 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 Jacobi method | Explain application of Jacobian into thermodynamics |
Class 9 | The extremum princip for various fundamental equations | Explain concept of extremum principle for various fundamental equations |
Class 10 | Equilibrium state and reversible process | Explain equilibrium state and reversible process in thermodynamics |
Class 11 | Phase equilibiria for multicomponent system | Explain concept of phase equilibria for multicomponent system |
Class 12 | Gibbs phase rule | Explain concept of Gibbs phase rule and the application |
Class 13 | Thermodynamic caliculation of Equilibrium diagram | Explain the detail in thermodynamic calculation of equilibrium phase diagram |
Class 14 | Regular solution | Explain concept of regular solution |
Class 15 | Driving force in precipitation reaction | Explain driving force in precipitation reaction |
TBD
Handouts
Evaluation by examinations.
None required
M.Kajihara (kajihara[at]materia.titech.ac.jp)
M.Sone (sone.m.aa[at]m.titech.ac.jp)
Contact by email
None required