2024 Kinetic Theory of Molecules B

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Academic unit or major
Undergraduate major in Chemical Science and Engineering
Instructor(s)
Nakajima Ken 
Class Format
Lecture    (Face-to-face)
Media-enhanced courses
Day/Period(Room No.)
Thr3-4(WL2-401(W641))  
Group
B
Course number
CAP.H303
Credits
1
Academic year
2024
Offered quarter
1Q
Syllabus updated
2024/3/14
Lecture notes updated
-
Language used
Japanese
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Course description and aims

[Description of the course] In this course, collision theory and transport phenomena based on gas molecular kinetics will be explained. Transition state theory is explained based on the knowledge of statistical thermodynamics (Gibbs energy and chemical equilibrium).
[Aim of the course] In chemical reactions, it is important to analyze reaction rates. In this lecture, students will develop the ability to derive the rate of chemical reactions by using collision theory and transition state theory based on kinetic theory of gas molecules and statistical thermodynamics, respectively. In addition, students will develop the ability to explain diffusion, heat conduction, and viscosity from the standpoint of gas molecular kinetics.

Student learning outcomes

By the end of this course, students acquire the following abilities:
(1) To be able to explain transport phenomena such as pressure, collision between molecules, and diffusion based on classical mechanics.
(2) Explain the meaning of Gibbs energy in statistical thermodynamics and the interpretation of chemical equilibrium in statistical thermodynamics.
(3) Analyze collisions between molecules using classical mechanics, and derive the rate of chemical reactions based on information on the transition state of reactions obtained from statistical thermodynamics.

Keywords

Statistical thermodynamics, Gibbs energy, chemical equilibrium, collision theory, transition state theory, transport phenomena

Competencies that will be developed

Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills

Class flow

This course will proceed in the following order:(1) kinetics of gases, (2) statistical thermodynamics, (3) molecular dynamics of reactions, and (4) transport phenomena. On the last day, students will do exercises for checking their comprehension, and the instructor will provide explanation about the exercises.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Kinetic model of gases, collisions of gas molecules Explain kinetic model of gases. Derive collision frequency and mean free path.
Class 2 Collision theory Derive reaction rate constants from collision theory.
Class 3 Gibbs energy, chemical equilibrium Explain thermodynamic functions and chemical equilibrium.
Class 4 Transition state theory, kinetics of molecular collisions Derive reaction rate constants using transition state theory. Explain the kinetics of molecular collisions.
Class 5 Transport phenomena (diffusion, heat conduction, viscosity) Explain transport phenomena (diffusion, heat conduction, viscosity).
Class 6 Practice problems and remarks for confirming the level of understanding Solve practice problems by accurately understanding all of the above lectures
Class 7 Final exam. Final exam.

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)

P. Atkins, J. de Paula, "Physical Chemistry", 10th Ed., Oxford University Press; ISBN-13: 978-0199697403

Reference books, course materials, etc.

None required

Assessment criteria and methods

Final examination (70%), level of class participation (30%) (The level of class participation will be calculated by quizzes and so on in the class.)

Related courses

  • LAS.C107 : Basic Chemical Thermodynamics
  • CAP.B216 : Physical Chemistry I (Thermodynamics)
  • CAP.B217 : Physical Chemistry II (Chemical Equilibrium)
  • CAP.B218 : Physical Chemistry III (Kinetics)
  • CAP.H204 : Physical Chemistry IV (Statistical Mechanics)

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

The condition of the study will not be made, but it is desirable to study LAS.C107 : Basic Chemical Thermodynamics, CAP.B216 : Physical Chemistry I (Thermodynamics), CAP.B217 : Physical Chemistry II (Chemical Equilibrium), CAP.B218 : Physical Chemistry III (Kinetics), CAP.H204 : Physical Chemistry IV (Statistical Mechanics).

Contact information (e-mail and phone)    Notice : Please replace from "[at]" to "@"(half-width character).

Ken Nakajima (knakaji[at]mac.titech.ac.jp)

Office hours

Make an appointment by an e-mail in advance.

Other

Students in Classes 1 and 2 should take Class [A], and students in Classes 3 and 4 should take Class [B].

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