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Table of Contents
Unit: Interlude
Variables of Thermodynamics (40 minutes)
- Naming Thermodynamic Variables (Class activity, 15 minutes)
- Conjugate pairs (Lecture, 10 minutes)
- Finding Conjugate Pairs (Class activity, 5 minutes)
- Extensive and intensive categorizing (Lecture, 5 minutes)
- Finding Intensive and Extensive Variables (Class activity, 5 minutes)
What Kind of a Beast is it? (1 hour 40 minutes)
- Math pre-test (Class actvity, 15 minutes)
- Balloon properties (SWBQ, 5 minutes)
- State variables (Lecture, 30 minutes)
- Total differential of energy (SWBQ, 5 minutes)
- First law of thermodynamics (Lecture, 20 minutes)
- Chain rule diagrams (Lecture, 20 minutes)
- Line on a chain rule diagram (SWBQ, 5 minutes)
Total & Partial Differentials (85 minutes)
- Calculating a Total Differential (Small groups, 35 minutes)
- The Isothermal Bulk Modulus (Small groups, 50 minutes)
Partial Derivatives and Legendre Transforms (55 minutes)
- Dimensions of Boltzmann's constant (SWBQ, 5 minutes)
- Constant Lines in the u-v plane (SWBQs, 10 minutes)
- Proving the cyclic chain rule using geometry (Lecture, 5 minutes)
- Comparing the physical and math expressions in the internal energy (Lecture, 5 minutes)
- Introducing Legendre Transform (Small groups, 25 minutes)
- Closing discussion on Legendre Transforms (Lecture, 5 minutes)
Mixed Partial Differentials (45 minutes)
- Revisiting total differentials and partial derivatives (Lecture, 15 minutes)
- Thermodynamic quantities (SWBQ, 5 minutes)
- Helmholtz free energy expressions (SWBQs, 5 minutes)
- Mixed partials in an electric potential context (Lecture, 5 min)
- Mixed Partial Differentials (Small groups, 15 minutes)
