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Thermodynamics

David P. Feldman

College of the Atlantic, Winter 2025

Basic Info

Thermodynamics: Official Course Description

Thermodynamics is the area of physics concerned with the behavior of very large collections of particles. Examples include the water molecules in glass of water, the electrons in a wire, or the photons given off by a light bulb. Thermodynamics studies properties of collections of particles that are largely independent of the particles' detail, for example, the tendency for heat to flow from a hot object to a cold one. This course will begin with a treatment of the first law of thermodynamics and basic thermal physics. Topics to be covered include the conservation of energy, heat and work, the ideal gas, the equipartition of energy, heat capacities, and latent heat. We will then move to the second law of thermodynamics, beginning with a statistical definition of entropy. This will require learning some combinatorics (a mathematical technique for counting) and approximation methods for working with very large numbers. This statistical approach will enable us to understand the origin of the second law of thermodynamics, and will lead naturally to statistical definitions of temperature, pressure, and chemical potential. We will then turn our attention to two broad areas of application. The first of these is heat engines and refrigerators, including heat pumps. The second set of applications involve free energy and chemical equilibrium. Depending on student interest, we will cover batteries and fuel cells, phase transitions, adiabatic lapse rates in meteorology, and nitrogen fixation. Thermodynamics is a broadly applicable field of physics, and so this course should be of relevance to students whose interests are in almost any area of science or engineering, as well as those who wish to gain a general introduction to a field that is one of the pillars of modern physical science. Evaluation will be based on weekly problem sets and a final research paper, presentation, or lab project. Level: Intermediate. Prerequisites: Calculus II and either a college-level physics or chemistry class. Course Limit: 20. Lab Fee: None. Meets the following degree requirements: QR ES


Who/when/where


Axioms

In mathematics, axioms are propositions that are assumed to be true. The mathematician Federico Ardila-Mantilla has written four axioms that guide the work he does in education and outreach. Federico's axioms resonate strongly with me. They are:

  1. Mathematical potential is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
  2. Everyone can have joyful, meaningful, and empowering math experiences.
  3. Math is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
  4. Every student deserves to be treated with dignity and respect.

Community Agreement

Taking the above axioms as a starting point, let's think about what type of community we want to create this term. Here is a community agreement based on one written by Federico Ardila-Mantilla.

This course aims to offer a joyful, meaningful, and empowering experience to every participant; we will build that rich experience together by devoting our strongest available effort to the class. You will be challenged and supported. Please be prepared to take an active, critical, patient, creative, and generous role in your own learning and that of your classmates.


Course Information and Advice

Goals

  1. Stay physically and mentally healthy and maintain intellectual and personal connection in a time of dispersal and isolation.
  2. Experience the challenge, joy, and beauty of physics. I want you to gain an understanding and appreciation of the structure and style of physics as an intellectual approach and discipline.
  3. I want to learn the basic principles and techniques of thermodynamics, and be able to apply thermodynamics to problems across the sciences.
  4. Improve your problem solving skills and mathematical confidence and agility. Leave this course with an increased ability to do mathematics and physics.
  5. Have fun while learning a lot.


Structure and Pacing

  1. We will closely follow An Introduction to Thermal Physics by Daniel Schroeder. I would like to cover most of chapters 1-4 and a little bit of chapter 5.
  2. The only work for this course will be weekly homework assignments. These problem sets will likely be longer, more challenging, and funner than those you've done for other classes.
  3. All work can be resubmitted without penalty up to (roughly) a few weeks after I return it to you.

This is my fifth time teaching this course, so I have a pretty good feel for how it will go. There are three parts to the class, each with a somewhat different vibe:


What is Thermodynamics?

Wikipedia's entry (from December 2024) on thermodynamics has a good summary:

Thermodynamics is a branch of physics that deals with heat, work, and temperature, and their relation to energy, entropy, and the physical properties of matter and radiation. The behavior of these quantities is governed by the four laws of thermodynamics, which convey a quantitative description using measurable macroscopic physical quantities, but may be explained in terms of microscopic constituents by statistical mechanics. Thermodynamics applies to a wide variety of topics in science and engineering, especially physical chemistry, biochemistry, chemical engineering and mechanical engineering, but also in other complex fields such as meteorology.

This course covers a fairly standard set of thermodynamics topics. The book we'll be using is excellent; I think it is clear, covers a good set of topics, and writing is informal, concise, welcoming, and extremely effective. There are different flavors of thermodynamics courses, usually catering to students in a particular major: physics, chemistry, chemical engineering, atmospheric science, and so on. Our textbook is intended for physics majors, but includes a fair amount of chemistry. I think this course will serve as a good foundational thermo class for everyone, regardless of their particular reason(s) for learning the subject.

One of the things I really like about the study of thermodynamics is that it is a foundational area of physics that explains why some reaction can only occur in one direction, thus perhaps explaining why time moves only forward and not left-and-right like space. Thermodynamics also explains practical things, like how refrigerators and heat pumps work, and why little bubble form in a glass of cool water after it sits in room temperature for a while.


Stuff about Homework

  1. There will be an assignment due almost every Friday. It is essential that you do these assignments, as this is how one learns math, and also this is most of what your evaluation will be based on.
  2. I think it would be best to not use google classroom to submit homework, but instead to submit the assignments on actual pieces of paper, like in olden times. But let's discuss this.
  3. If you need extra time for one or two of the homework assignments, it's not a big deal. But be mindful to not fall farther behind every week.
  4. I do not expect all of the homework assignments to be easy; I don't expect you to be able to sit down and do them easily the first time. Don't let yourself get frustrated. I strongly suggest working with others and seeking help if you need it.
  5. You are strongly encouraged to work together on homework. You can also consult me, class tutors, other faculty, friends, and family. However, the homework you hand in should represent your own understanding.
  6. As I plan on sending out homework assignments and other information via email/google classroom, it is important that you check your email/classroom regularly.


Other Thoughts

  1. More than any class I teach, in Thermodynamics I find myself lecturing at the board. This has worked well in the past. However, we could consider partially "flipping" the class. I.e., doing reading before we cover a topic in class, or watching videos from the 2021 hybrid version of the course.
  2. You will want to have at your disposal a scientific calculator or phone/tablet app. I strongly suggest an actual calculator. You do not need a graphing calculator for this course (or, in my opinion, ever).
  3. This class is medium-sized, and there are no teaching assistants. We will have to figure out how optimally schedule help sessions. I suspect this will take a week or two to figure this out.
  4. I would also encourage you to schedule some group work times without me.
  5. Some of the problems in this course are multi-step problems for which the solution path will not be immediately clear. Some problems may take several pages to work through. My hope is that this is challenging and rewarding.


Help Sessions

I will have a handful of help sessions every week. You are warmly invited and encouraged to attend these sessions. Help sessions are relaxed, informal, and hopefully fun. Things that happen at help sessions:

  1. I am around to offer help on the homework.
  2. Some students do most of the homework while at a help session. They work through problems alone or with others, and find it comforting to know that help is immediately at hand if needed.
  3. Others do the problems at home and come to the help session with specific questions.
  4. Some students work in groups at help sessions, others work more or less alone.
  5. Help sessions are also a chance to ask general questions about the course. Conversations also sometimes wander into other areas: politics, the state of the world, what's for dinner, what classes are offered next term, and so on.
  6. Help sessions are a great way to meet other students in the class.
  7. Often there will be coffee/tea and/or snacks.


Individual Meetings

I am happy to meet with students one-on-one. The best way to set up an appointment is to send an email. There are lots of reasons why you might want to meet with me:

  1. You have some in-depth questions that there isn't time to explore in a help session.
  2. You have a question that you think is too basic or you're uncomfortable asking in a help session. (You shouldn't be uncomfortable, since, as the saying goes, there are no dumb questions! But I understand that you might be uncomfortable nevertheless.)
  3. You want to explore possibilities for energy projects on campus or in the community.
  4. You want to discuss some challenges you're facing in the class.
  5. You want to talk about other classes in energy or physics, or internships, senior projects, etc.
Please don't hesitate to reach out if there's anything you want to discuss. You should also feel free to reach out to the TAs.


What your Evaluation is Based on

Your evaluation will be based on your performance on homework assignments. I think there is much to be said against grades; I believe they often interfere with genuine, reflective learning. But I am happy to assign grades if you wish. I do not have any quota of A's, B's, etc.


Diversity, Inclusion, and Belonging

It is my intent that students from all backgrounds and perspectives be well served by this course, that students' learning needs be addressed both in and out of class, and that the diversity that students bring to this class be viewed as a resource, strength, and benefit. I aim to present materials and activities that are respectful of diversity: gender, sexuality, disability, age, religion, socioeconomic status, ethnicity, race, and culture.

Learning about diverse perspectives and identities is an ongoing process. I am always looking to learn more about power and privilege and the harmful effects of racism, sexism, homophobia, classism, and other forms of discrimination and oppression. Your suggestions are encouraged and appreciated. Please let me know ways to improve the effectiveness of the course for you personally, or for other students or student groups. If something was said or done in class (by anyone, including me) that made you feel uncomfortable, please let me know. You can also reach out to Provost Ken Hill or Associate Dean Kourtney Collum.


Statements about Academic Honesty and Hours of Academic Engagement

I am required to remind you that: "By enrolling in an academic institution, a student is subscribing to common standards of academic honesty. Any cheating, plagiarism, falsifying or fabricating of data is a breach of such standards. A student must make it his or her responsibility to not use words or works of others without proper acknowledgment. Plagiarism is unacceptable and evidence of such activity is reported to the academic dean or his/her designee. Two violations of academic integrity are grounds for dismissal from the college. Students should request in-class discussions of such questions when complex issues of ethical scholarship arise."

I am also required to say that: You should expect to spend 150 hours of academically engaged time on this course, or 15 hours per week. In addition to 4.5 hours per week in class or discussion section, in a typical week you'll spend 2 hours reading and preparing for class and 8.5 hours attending help sessions and completing assignments.


Schedule

Important Links

Week 01

Monday, January 6, 2025

  • Introductions and Logistics.
  • What is Temperature?? Ideal gas law.
  • Handout


Wednesday, January 8, 2025

  • Some kinetic theory. Relating temperature to average kinetic energy.


Thursday, January 9, 2025

  • RMS speed. Equipartitional Theorem. Counting Degrees of Freedom. Heat vs. Work.
  • Handout


Friday, January 10, 2025


Week 02

Monday, January 13, 2025

  • Work vs. Heat vs. Energy. Compression work
  • Handout


Wednesday, January 15, 2025

  • Isothermal and Adiabatic Compression


Thursday, January 16, 2025

  • TBA


Friday, January 17, 2025


Week 03

Monday, January 20, 2025

  • TBA.


Wednesday, January 22, 2025

  • TBA


Thursday, January 23, 2025

  • TBA


Friday, January 24, 2025


Week 04

Monday, January 27, 2025

  • TBA.


Wednesday, January 29, 2025

  • TBA


Thursday, January 30, 2025

  • TBA


Friday, January 31, 2025


Week 05

Monday, February 3, 2025

  • TBA.


Wednesday, February 5, 2025

  • TBA


Thursday, February 6, 2025

  • TBA


Friday, February 7, 2025


Week 06

Monday, February 10, 2025

  • TBA.


Wednesday, February 12, 2025

  • TBA


Thursday, February 13, 2025

  • TBA


Friday, February 14, 2025


Week 07

Monday, February 17, 2025

  • TBA.


Wednesday, February 19, 2025

  • TBA


Thursday, February 20, 2025

  • TBA


Friday, February 21, 2025


Week 08

Monday, February 24, 2025

  • TBA.


Wednesday, February 25, 2025

  • TBA


Thursday, February 26, 2025

  • TBA


Friday, February 27, 2025


Week 09

Monday, March 3, 2025

  • TBA.


Wednesday, March 5, 2025

  • TBA


Thursday, March 6, 2025

  • TBA


Friday, March 7, 2025


Week 10

Monday, March 10, 2025

  • TBA.


Wednesday, March 12, 2025

  • TBA


Thursday, March 13, 2025

  • TBA


Friday, March 13, 2025


The building in which we gather for this class, and all of College of the Atlantic, is located on traditional lands of the Wabanaki people. The four Native American tribes in Maine today are the Maliseet, Micmac, Penobscot, and Passamaquoddy, collectively referred to as the Wabanaki. I believe it is important to acknowledge that our presence on this land entangles us in the web of colonialism, past and present. The future, however, is still unwritten.