Physical Chemistry III (Chemical Engineering)
| Numbering Code | U-ENG27 37309 LJ60 | Year/Term | 2022 ・ Second semester | |
|---|---|---|---|---|
| Number of Credits | 2 | Course Type | Lecture | |
| Target Year | Target Student | |||
| Language | Japanese | Day/Period | Tue.1 | |
| Instructor name | MIYAHARA MINORU (Graduate School of Engineering Professor) | |||
| Outline and Purpose of the Course | Thermodynamics is an important foundation of chemical engineering that is difficult to understand intuitively. To understand thermal phenomena intrinsically, observing them on a microscopic level is effective and provides indispensable knowledge for various advanced technologies such as nanotechnology. In this subject, students are taught the basics of statistical thermodynamics and are given the chance to deeply understand and apply entropy and free energy, which are difficult to comprehend through macroscopic theory alone. | |||
| Course Goals | To understand the relationship between number of states and the probability of the emergence of states that lie behind entropy and free energy, and to acquire the ability to formulate molecular models for simple systems, such as lattice systems, using various ensembles | |||
| Schedule and Contents |
Fundamental laws of classical thermodynamics, 3 sessions The “difficulty” of the second law, entropy, and free energy, in particular, are again recognized. Probability, distribution of states, and thermodynamic limit, 1 session Students are given an explanation of how the random motion of each molecule is connected to the thermodynamic state observed using a simple continuous system as an example. Microcanonical ensembles and entropy, 1 session Distribution of the number of states under a constant gross energy, S=klnW, dS/dE=1/T and its interpretation Entropy of ideal gas, Boltzmann distribution, and velocity distribution, 1.5 sessions Phase spaces and quantity of states, deriving the entropy of ideal gas via S=klnW, distribution of energy states Canonical ensembles and partition function, 1.5 sessions Study of the energy distribution of subsystems connected to a heat bath, partition function, Helmholtz free energy in a system at constant (V, T), Gibbs free energy in a system at constant (p, T) Exercises, 1 session For microcanonical ensembles and canonical ensembles, students will work on the formulation of thermodynamic states based on molecular physical properties. Students must attend this session as it is important for their evaluation. Depending on the progress made in this session, an additional session may be held for exercises. Grand canonical ensembles and chemical potential, 2 sessions Study of open systems, grand partition function, chemical potential, examples of application Classical statistical approximation and configuration integral, 1 session Students are given an explanation of the configuration integral and expression of partition functions, which are formulated via classical approximation of the number of states in a phase space. In addition, students are taught about the relationship between the configuration integral and thermodynamic quantity. Non-ideal systems and intermolecular interactions, 2 sessions In real systems, non-ideality is expressed through intermolecular interactions. As a result of these interactions, imperfect gas is produced and the gas-liquid transition occurs. Hence, the approach to handling such outcomes is explained to students in these sessions. In addition to the typical interaction potential function, students are taught that molecular simulation is significant as it allows the configuration integral to be obtained directly, and are given an outline on how to obtain thermodynamic quantities via molecular simulation. Confirmation of learning achieved, 1 session Here, the students’ understanding of the contents of lectures will be evaluated and confirmed. |
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| Evaluation Methods and Policy | In addition to the end-of-term examination, students are also evaluated based on exercises and short tests conducted when necessary. | |||
| Course Requirements | Physical Chemistry: Fundamentals and Exercises & Physical Chemistry I (Chemical Engineering) | |||
| Study outside of Class (preparation and review) | After a teaching session, students must review it to deepen their understanding. In addition, students must prepare any questions that they may have and ask them at the beginning of the next teaching session. | |||
| Textbooks | Textbooks/References | Others; none | ||
| References, etc. |
Others; Nagaoka, Y., Iwanami kiso butsuri shiriizu: Toukei rikigaku, (Iwanami Shoten, 1994) isbn {} {9784000079273}; Fujiwara K., Hyodo, T., Netsu-gaku nyuumon: Makuro kara mikuro he, (University of Tokyo Press, 1995) isbn {} {4130626019}; Toda, M., Butsurigaku 30-kou shiriizu: Netsu genshou 30-kou, (Asakura Shoten, 1995) isbn {} {425413634X}; Kubo, R., Shinsou-ban: Toukei rikigaku, (Kyoritsu Shuppan, 2003) isbn {} {9784320034235}; Widom, B. (translated by Koga, K.), Kagaku-kei no toukei rikigaku nyuumon, (Kagaku-Dojin, 2005) isbn {} {4759809503}; Doi, M., Butsuri no kangaekata 2: Toukei rikigaku, (Asakura Shoten, 2006) isbn {} {9784254137422} |
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| Courses delivered by Instructors with Practical Work Experience |
分類： A course with practical content delivered by instructors with practical work experience |
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