課程資訊
課程名稱
高等熱力學一
Advanced Thermodynamics (Ⅰ) 
開課學期
110-1 
授課對象
工學院  機械工程學研究所  
授課教師
蔡協澄 
課號
ME7002 
課程識別碼
522 M1460 
班次
 
學分
3.0 
全/半年
半年 
必/選修
選修 
上課時間
星期二2,3,4(9:10~12:10) 
上課地點
綜603 
備註
流力組、熱學組、航空組必修。
總人數上限:65人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1101ME7002_ 
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課程概述

The rudimentary concepts of thermodynamics are reviewed and further explored, after which advanced topics will be studied. Specifically, beginning with the postulation approaches, the physical structure of thermodynamics will be elucidated in a fundamental way. In contrast to conventional engineering approaches that are generally focused on the application aspects, we will discuss logic induction and the mathematical framework which shape this subject. In addition to some examples of relevance, regarding the formulation and description of fundamental equations, specific attention will be paid to advanced topics such as the stability of thermodynamic systems, phase transitions, and critical phenomena. Furthermore, closer insight will be gained as the macroscopic elements are connected to the microscopic structure, through the interpretation of entropy, in terms of a statistical mechanical treatment.

本學期上課因COVID-19疫情前三週採遠距非同步教學,上課影片請於原上課時間半日到一日後(系統上傳影片時間)至NTU COOL觀看。至第四週起,採實體教學,但學生需依安排之座位,實名制上課。

本課程加選方式為第3類:「有人數限制,上網登記後分發」。 

課程目標
Course Contents:
1. The problem and the postulates
2. The conditions of equilibrium
3. Some formal relationships, and sample systems
4. Reversible processes and the maximum work theorem
5. Alternative formulations and Legendre transformations
6. The extremum principle in the Legendre transformed representations
7. Maxwell relations
8. Stability of thermodynamic systems
9. First-order phase transitions
10. Critical phenomena
11. The Nernst postulate
12. Properties of materials
13. Statistical mechanics and the entropy 
課程要求
Passing two examinations that are based on the homework problems. 
預期每週課後學習時數
 
Office Hours
每週二 14:00~16:00 
指定閱讀
H.B. Callen, Thermodynamics and Introduction to Thermostatistics, 2nd ed., Wiley 
參考書目
H.B. Callen, Thermodynamics and Introduction to Thermostatistics, 2nd ed., Wiley
S.I. Sandler, Chemical, Biochemical, and Engineering Thermodynamics. 5th Ed.,
Wiley
R.K. Pathria and P.D. Beale, Statistical Mechanics, 3rd ed. Elsevier 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
Homework sets 
30% 
two sets of homework problems 
2. 
Midterm exam 
35% 
 
3. 
Final exam 
35% 
 
 
課程進度
週次
日期
單元主題
第1週
09/28  Introduction to advanced thermodynamics;
First law of thermodynamics
本次上課為遠距非同步教學,上課影片請於原上課時間半日到一日後(系統上傳影片時間)至NTU COOL觀看 
第2週
10/05  Second law of thermodynamics
Combined 1st and 2nd laws;
Third law of thermodynamics
本次上課為遠距非同步教學,上課影片請於原上課時間半日到一日後(系統上傳影片時間)至NTU COOL觀看 
第3週
10/12  Calculus of thermodynamics: four postulates
本次上課為遠距非同步教學,上課影片請於原上課時間半日到一日後(系統上傳影片時間)至NTU COOL觀看 
第4週
10/19  Introduction to thermodynamics potentials;
Legendre transform;
Physical interpretation of thermodynamic potentials
本週起上課恢復為課堂教學,同學需依所排定的座位,實名制上課 
第5週
10/26  Response functions and Maxwell relations;
Manipulating derivatives;
Joule-Thomson effect;
Gibbs-Helmholtz equations 
第6週
11/02  Equilibrium conditions and stability criteria;
Entropy maximum principle and thermodynamic potential minimum principle 
第7週
11/09  First-order phase transition 
第8週
11/16  Chemical equilibrium;Gibbs phase rule;Second-order phase transition 
第9週
11/23  Midterm exam from 09:10am to 12:10pm
Open text book, your homework and your own hand-written note
Range: everything up to first-order phase transition 
第10週
11/30  Ideal and non-ideal gas mixtures;
dilute solutions; 
第11週
12/07  Applications of mixtures:
Chemical reaction of ideal mixtures;
Osmotic pressure;
Non-ideal mixtures;
Binary mixtures 
第12週
12/14  Introduction to Statistical mechanics;
Micro-canonical ensemble;
Boltzmann's entropy formula 
第13週
12/21  Canonical ensemble;
Gibbs entropy formula;
and Grand canonical ensemble 
第14週
12/28  Simple derivation of ensemble distributions;
Fluctuations in energy and particle number;
Thermodynamic equivalence between ensembles 
第15週
2022/01/04  Statistical mechanics of non-interacting gases;
Some basic quantum mechanics;
Statistical mechanics of ideal gases 
第16週
01/11  Final exam from 09:10am to 12:10pm
Closed book but open your own hand-written note
Range: focus on statistical mechanics 
第17週
01/18  Statistical mechanics of ideal gases