This introductory physical chemistry course examines the connections between molecular properties and the behavior of macroscopic chemical systems.
Statistical Molecular Thermodynamics
提供方
University of Minnesota
教學大綱 - 您將從這門課程中學到什麼
週
1Module 1
This module includes philosophical observations on why it's valuable to have a broadly disseminated appreciation of thermodynamics, as well as some drive-by examples of thermodynamics in action, with the intent being to illustrate up front the practical utility of the science, and to provide students with an idea of precisely what they will indeed be able to do themselves upon completion of the course materials (e.g., predictions of pressure changes, temperature changes, and directions of spontaneous reactions). The other primary goal for this week is to summarize the quantized levels available to atoms and molecules in which energy can be stored. For those who have previously taken a course in elementary quantum mechanics, this will be a review. For others, there will be no requirement to follow precisely how the energy levels are derived--simply learning the final results that derive from quantum mechanics will inform our progress moving forward. Homework problems will provide you the opportunity to demonstrate mastery in the application of the above concepts.
9 個視頻 （總計 103 分鐘）, 6 個閱讀材料, 1 個測驗
9 個視頻
Video 1.1 - That Thermite Reaction9分鐘
Video 1.2 - Benchmarking Thermoliteracy12分鐘
Video 1.3 - Quantization of Energy14分鐘
Video 1.4 - The Hydrogen Chloride Cannon12分鐘
Video 1.5 - Atomic Energy Levels16分鐘
Video 1.6 - Diatomic Molecular Energy Levels13分鐘
Video 1.7 - Polyatomic Molecular Energy Levels12分鐘
Video 1.8 - Review of Module 18分鐘
6 個閱讀材料
Meet the Course Instructor10分鐘
Grading Policy10分鐘
Read Me First10分鐘
Syllabus10分鐘
Resources10分鐘
Module One10分鐘
1 個練習
Module 1 Homework 20分鐘
週
2Module 2
This module begins our acquaintance with gases, and especially the concept of an "equation of state," which expresses a mathematical relationship between the pressure, volume, temperature, and number of particles for a given gas. We will consider the ideal, van der Waals, and virial equations of state, as well as others. The use of equations of state to predict liquid-vapor diagrams for real gases will be discussed, as will the commonality of real gas behaviors when subject to corresponding state conditions. We will finish by examining how interparticle interactions in real gases, which are by definition not present in ideal gases, lead to variations in gas properties and behavior. Homework problems will provide you the opportunity to demonstrate mastery in the application of the above concepts.
8 個視頻 （總計 123 分鐘）, 1 個閱讀材料, 1 個測驗
8 個視頻
Video 2.2 - Non-ideal Gas Equations of State15分鐘
Video 2.3 - Gas-Liquid PV Diagrams20分鐘
Video 2.4 - Law of Corresponding States11分鐘
Video 2.5 - Virial Equation of State11分鐘
Video 2.6 - Molecular Interactions23分鐘
Video 2.7 - Other Intermolecular Potentials15分鐘
Video 2.8 - Review of Module 26分鐘
1 個閱讀材料
Module 210分鐘
1 個練習
Module 2 homework20分鐘
週
3Module 3
This module delves into the concepts of ensembles and the statistical probabilities associated with the occupation of energy levels. The partition function, which is to thermodynamics what the wave function is to quantum mechanics, is introduced and the manner in which the ensemble partition function can be assembled from atomic or molecular partition functions for ideal gases is described. The components that contribute to molecular ideal-gas partition functions are also described. Given specific partition functions, derivation of ensemble thermodynamic properties, like internal energy and constant volume heat capacity, are presented. Homework problems will provide you the opportunity to demonstrate mastery in the application of the above concepts.
8 個視頻 （總計 85 分鐘）, 1 個閱讀材料, 1 個測驗
8 個視頻
Video 3.2 - Boltzmann Population15分鐘
Video 3.3 - Ideal Gas Internal Energy10分鐘
Video 3.4 - Ideal Gas Equation of State Redux10分鐘
Video 3.5 - van der Waals Equation of State Redux 6分鐘
Video 3.6 - The Ensemble Partition Function15分鐘
Video 3.7 - The Molecular Partition Function 7分鐘
Video 3.8 - Review of Module 35分鐘
1 個閱讀材料
Module 310分鐘
1 個練習
Module 3 homework20分鐘
週
4Module 4
This module connects specific molecular properties to associated molecular partition functions. In particular, we will derive partition functions for atomic, diatomic, and polyatomic ideal gases, exploring how their quantized energy levels, which depend on their masses, moments of inertia, vibrational frequencies, and electronic states, affect the partition function's value for given choices of temperature, volume, and number of gas particles. We will examine specific examples in order to see how individual molecular properties influence associated partition functions and, through that influence, thermodynamic properties. Homework problems will provide you the opportunity to demonstrate mastery in the application of the above concepts.
9 個視頻 （總計 116 分鐘）, 1 個閱讀材料, 1 個測驗
9 個視頻
Video 4.2 - Ideal Monatomic Gas: Q8分鐘
Video 4.3 - Ideal Monatomic Gas: Properties17分鐘
Video 4.4 - Ideal Diatomic Gas: Part 121分鐘
Video 4.5 - Ideal Diatomic Gas: Part 212分鐘
Video 4.6 - Ideal Diatomic Gas: Q13分鐘
Video 4.7 - Ideal Polyatomic Gases: Part 17分鐘
Video 4.8 - Ideal Polyatomic Gases: Part 212分鐘
Video 4.9 - Review of Module 47分鐘
1 個閱讀材料
Module 410分鐘
1 個練習
Module 4 homework20分鐘
講師
Dr. Christopher J. Cramer
Distinguished McKnight and University Teaching Professor of Chemistry and Chemical PhysicsChemistry
關於 University of Minnesota
The University of Minnesota is among the largest public research universities in the country, offering undergraduate, graduate, and professional students a multitude of opportunities for study and research. Located at the heart of one of the nation’s most vibrant, diverse metropolitan communities, students on the campuses in Minneapolis and St. Paul benefit from extensive partnerships with world-renowned health centers, international corporations, government agencies, and arts, nonprofit, and public service organizations.
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