**Copyright Information:**Penner, Reginald Thermodynamics and Chemical Dynamics 131C (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/chem_131c_thermodynamics_and_chem... [January 28, 2015]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (http://creativecommons.org/licenses/by-sa/3.0/us/deed.en_US).

### Lecture Description

Recorded on April 9, 2012.

Slide Information

00:05 - Intro Slide: Entropy

00:15 - Announcements

01:00 - Quiz I histogram

01:03 - What's in this Lecture?

01:17 - Six things we have learned about Statistical Mechanics

04:17 - Boltzman Distribution Law Diagram and Definition

04:21 - Things we Have Learned About Statistical Mechanics so Far

04:32 - The Boltzmann Distribution Law Formula (Diagram)

06:34 - Formula/Equation Diagram (the average internal energy of each of N molecules)

08:11 - Equation Diagram ("so q contains information about the averge internal energy of our system.")

09:13 - Diagram: (The NO molecule)

10:01 - Graph (b) the electronic contribution to the molar internal energy at 300K.

11:20 - Graph (b) - Evaluating formula

13:58 - (Does formula and solution make sense?)

15:37 - Chart (On p. 429 of your book, three types of ensembles are discussed as follows:)

16:24 - Chart: Microcanonical Ensembles

16:34 - About Microcanonical Ensembles

17:14 - Graph: Example: NO - it's obvious we're talking about one molecule here...

17:54 - Diagram: The Boltzmann Distribution Law in terms of the molecular partition function, q

18:14 - so q asks the question:

18:47 - Canonical Ensembles

19:38 - Well, consider just two molecules, call them a and b...

21:28 - this is the appropriate expression when the N units are distinguishable.

22:48 - Equations for two States (for two distinguishable units, we CAN tell the difference...)

24:35 - Chart: What if we had three molecules, a, b,c...

25:53 - Chart: Ensemble name| What's Constant | Its Partition Function

27:01 - Experiment: Place 100 nickels into a shoes box, all heads up

29:00 - Experiment: 1. Place 100 nickels into a shoes box, ALL heads up...

30:34 - Experiment Conclusion: "For any isolated assembly, we can always predict...

31:00 - For any isolated assembly...

31:55 - Formula: S = k In W

### Course Index

- Syllabus, Homework, & Lectures
- The Boltzmann Distribution Law
- Energy and q (The Partition Function).
- Entropy
- The Equipartition Theorem
- The Rotational Partition Function
- Vibrational Partition Functions
- The First Law
- Law (review) & Adiabatic Processes Part II
- Jim Joule
- Midterm I Review
- Entropy and The Second Law
- The Carnot Cycle
- The Gibbs Energy
- Getting to Know The Gibbs Energy
- The Chemical Potential
- Finding Equilibrium
- Equilibrium In Action
- Observational Chemical Kinetics
- The Integrated Rate Law
- The Steady State Approximation
- Midterm Exam Review
- Lindemann-Hinshelwood Part I
- Lindemann-Hinshelwood Part II
- Enzymes Pt. II
- Transition State Theory
- The Final Exam

### Course Description

In Chemistry 131C, students will study how to calculate macroscopic chemical properties of systems. This course will build on the microscopic understanding (Chemical Physics) to reinforce and expand your understanding of the basic thermo-chemistry concepts from General Chemistry (Physical Chemistry.) We then go on to study how chemical reaction rates are measured and calculated from molecular properties. Topics covered include: Energy, entropy, and the thermodynamic potentials; Chemical equilibrium; and Chemical kinetics.

Chemistry Dept. | Physical Sciences Sch. | University of California, Irvine