# Thermodynamics Lecture Notes And Homeworks

**CHEM 531**

**Physical Chemistry I (Spring 2016)**

**Textbook:** __Molecular Thermodynamics__ by McQuarrie and Simon (University Science Books, 1999)

**Instructor:** Prof. Kirk Peterson (335-7867, Fulmer 104B)

http://tyr0.chem.wsu.edu/~kipeters/Chem531

**Schedule:** MWF 9:10-10am in **Fulmer 225**

**Office hrs:** by arrangement

Syllabus: here

## Navigation Links:

## Notices/Announcements:

- The backpage of the Final exam can be found here.

## Homework

- Problem Set 1 (due at beginning of class, Wednesday, Jan. 20th); Solutions
- Problem Set 2 (due Monday, Feb. 1st); Solutions
- Problem Set 3 (due Monday, Feb. 8th); Solutions
- Problem Set 4 (due Wednesday, Feb. 17); Solutions
- Problem Set 5 (due Wednesday, Feb. 24th); Solutions
- Problem Set 6 (due Monday, March 7th); Solutions
- Problem Set 7 (due Wednesday, March 23rd); Solutions
- Problem Set 8 (due Wednesday, April 6th); Solutions
- Problem Set 9 (due Monday, April 18th); Solutions
- Problem Set 10 (advisory only); Solutions

### General notes on homework assignments

(1) Show all work in order to get credit

(2) Use full precision for fundamental constants and masses - the data should dictate the final precision and not your rounding of known constants

(3) All final answers should have appropriate units noted

(4) Be aware of significant figures in your final result (but don't go crazy on them)(5) No hand-drawn graphs! Please minimize the use of your calculator's solver button as well as Wolfram Alpha

## Exam Solutions

## Lecture Schedule (note this is an active document!)

Week | Lecture Topics |

Jan. 11 | Ch. 1: Basic Quantum Mechanical Concepts |

Jan 18 | MLK class holiday on Monday; Ch. 2: Properties of Gases |

Jan 25 | Mon: Ch. 2 continued; Wed/Fri: Ch. 3: The Boltzmann Factor and Partition Functions |

Feb 1 | finish up Ch. 3 and get through Ch. 4: Ideal gas partition functions |

Feb 8 | Ch. 5: The 1st law of thermodynamics |

Feb 15 | President's Day class holiday on Monday; Enthalpies and such, thermochemistry |

Feb 22 | Ch. 6: 2nd law of thermodynamics; Exam 1 on Friday (Chapters 1-5 only) |

Feb 29 | Finish Ch 6 and then Ch 7 on the 3rd law of Thermodynamics |

March 7 | Ch. 8: Helmholtz and Gibbs Free Energies (focusing on the system) |

March 14 | Spring Break !! |

March 21 | T and P dependence of G; Ch. 9: phase diagrams |

March 28 | no class on Monday; Clapeyron and Clausius-Clapeyron equations; Ch. 10: liquid-liquid solutions |

April 4 | liquid-liquid solutions continued |

April 11 | Ch. 11: solid-liquid solutions; colligative properties, Debye-Hückel Theory |

April 18 | Continue Ch. 12; Exam 2 on Friday (Chapters 6-10 only) |

April 25 | Ch. 12: Chemical Equilibrium |

May 4th (Wed) | FINAL EXAM (cumulative); 8:00 – 10:00 am |

## Grading

points | |

2 hour exams | 550 |

homework | 150 |

final exam | 300 |

total | 1000 |

Scale(broad strokes, see syllabus for +/- breakdown):

850 - 1000 A

650 - 800 B

< 600 C

### Additional Resources

**Academic Integrity:**I encourage you to work with classmates on homework assignments. However, each student

**. No copying will be accepted (this includes copying from textbooks or prior semester homeworks). Students who violate WSU’s Policy on Academic Integrity will receive an F as a final grade in this course.**

__must turn in original work__**Reasonable accommodations are available for students with a documented disability. If you have a disability and may need accommodations to fully participate in this class, please visit the Access Center. All accommodations MUST be approved through them (Washington Building, Room 217). Please stop by or call them at 509-335-3417 to make an appointment with a disability specialist http://accesscenter.wsu.edu.**

Students with Disabilities:

Students with Disabilities:

## Physics 12c

Statistical Mechanics

Spring 2016

Go to**home page for Ph12b**

**Course description: **An introductory course in statistical mechanics.

**Class meetings**: Tuesday and Thursday 10:30-11:55 am in **269 Lauritsen**, starting March 29, 2016.**Feedback:** If you want to send a comment about the course, click here. **Instructor: **

John Preskill, preskill(at)caltech(dot)edu, 206 Annenberg.

**Recitation leaders: **

Kung-Yi Su, ksu(at)caltech(dot)edu, Wednesday 6:30pm-8:30pm in 11 Downs.

Brenden Roberts, broberts(at)caltech(dot)edu, Recitations Monday 6:30pm-7:30pm in 11 Downs. Office hours Wednesday 2:30pm-3:30pm in 240 Lauritsen.

**Graders:**Vijay Varma, vvarma(at)caltech(dot)edu, Assignments 1, 3, 5, 7.

MykytaHulko, mhulko(at)caltech(dot)edu, Assignments 2, 4, 6, 8.

**Textbook: ***Thermal Physics (2 ^{nd} edition)* by Charles Kittel and Herbert Kroemer

We will cover most of the first 10 chapters of Kittel and Kroemer, plus part of Chapter 14 and some supplementary material.

**Grading:** Grades will be based on weekly problem sets (40%), a midterm (20%), and a final exam (40%).

**Homework: **Problem sets will be posted on this page on Thursday, and will be due in the **Physics 12c IN-box** by the East Bridge mailboxes at 8:00 pm the following Thursday. Graded homework will be returned to the **Physics 12c OUT****-box** in 264 Lauritsen by the following Wednesday morning. Solution sets will be posted on this page.

**Extensions: -- **Unexcused late homework will be accepted for half credit up until one week after the due date; there is no credit if your assignment is more than one week late.

-- If your homework will be late for a good reason, you may request an extension before the assignment is due by sending email to that week’s grader.

-- One extension, for up to one week, is allowed without question (your silver bullet). Please put a note at the top of your problem set indicating that you are using your silver bullet.

**Honor Code: **Discussion with others is encouraged, but the work you hand in must be your own. In particular, do not use homework solutions from previous years or exams and exam solutions from previous years. Please write legibly. You may use a symbolic manipulation tool such as *Mathematica *or *MATLAB* for doing computations on homework or exams, though this probably won’t be necessary.

**Twitter: **I’ll attempt to summarize each lecture in 140 characters or less. See the #Ph12c tweets.

**Lectures **(tentative schedule)**:**

- Mar 29. Counting states (lecture notes)
- Mar 31. Entropy and temperature (lecture notes)
- Apr 5. Boltzmann distribution and free energy (lecture notes)
- Apr 7. Ideal gas, mixing (lecture notes)
- Apr 12. Planck distribution (lecture notes, plus supplement)
- Apr 14. Debye theory, Johnson-Nyquist noise (lecture notes, plus supplement)
- Apr 19. Chemical potential, Gibbs distribution (lecture notes, plus supplement)
- Apr 21. Indistinguishable particles, thermodynamics of ideal gas (lecture notes)
- April 26. Fermi gases (lecture notes)
- April 28. Bose-Einstein condensation (lecture notes)
- May 3. BEC continued (lecture notes, BEC homepage, Physics World March 1997)
- May 5. Heat engines, laws of thermodynamics (lecture notes)
- May 10. Gibbs free energy (lecture notes)
- May 12. Equations of state (lecture notes)
- May 17. 1
^{st}and 2^{nd}order phase transitions (lecture notes) - May 19. Ferromagnetism (lecture notes)
- May 24. Landau theory of phase transitions and scaling
- May 26. Kinetic theory(lecture notes)
- May 31. Diffusion and viscosity (lecture notes)
- Jun 2. Maxwell’s demon (lecture notes)

**Typed Lecture Notes: **Courtesy of Sam Elder (2010), available here.

**Lecture Videos: **Recorded in 2011, available at this YouTube Channel.

Also available here, as mkv files, which you may download and play on your own computer. The lectures this year will be somewhat different than in 2011, but the videos may be useful if you miss a lecture.

**Ombudsfolks****:**: Julia Deacon, Arjun Goswami, Stephanie Kwan, Marc Muhleisen. Contact John Preskill to volunteer.

**Homework assignments:**

Problem Set 1, due Apr 7. Probability and fluctuations.Solutions.

Problem Set 2, due Apr 14. Boltzmann distribution.Solutions

Problem Set 3, due Apr 21. Black body radiation.Solutions

Problem Set 4, due Apr 28. Chemical potential.Solutions

Problem Set 5, due May 12. Quantum gases and heat engines.Solutions

Problem Set 6, due May 19. Phase coexistence. Solutions

Problem Set 7, due May 26. Critical phenomena and scaling.Solutions

Problem Set 8, due Jun 2. Kinetic theory and diffusion.Solutions

**Exams:**

Midterm Exam, Covers all material through Problem Set 4. Solutions

54 exams were received. The median was 83, the mean was 82, the standard deviation was 14. 12 students scored 95 or above, and 4 scored 100.

Final Exam, due June 10. Covers all material in the course.Solutions

52 exams were received. The median was 82 and the mean was 80. 11 students scored in the 90s, and the highest score was 97.

**Grades:**

Final grades were determined using the formula Grade = 0.4(Homework) + 0.2(Midterm) + 0.4(Final).

The median final grade was 86 and the mean was 84.

The ranges for letter grades were:

A+95-100

A90-94

A-85-89

B+80-84

B75-79

B-55-74

The distribution of letter grades for the course was:

8 A+, 14 A, 7 A-, 9 B+, 9 B, 5 B- (52 total)

I hope you enjoyed Ph 12c and learned a lot. If you have not already done so, please review the course by responding to the TQFR survey. Your feedback is very helpful, especially if you have suggestions for improving the course. In particular, I would like to know: whether you liked the book, whether the online notes and videos were useful, whether the lectures were too much like the book, whether the homework helped you to learn, whether the recitations were effective, whether the exams were reasonable and the grading was fair... Or whatever else you think is relevant.

One other thing … A few of you mentioned in the TQFR comments that the Sam Elder notes contain serious typographical errors. It would be helpful if someone could point out the errors, either in an email to me, or by filling out the anonymous comment form on this page.

Thanks, and have a great summer.

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