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by Dr. J. B. Tatum
jtatum@uvic.ca



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Heat and Thermodynamics (last updated: 2013 March 5)


Chapter 1. Introductory Remarks

1.1Introduction
1.2Caloric, Calories, Heat and Energy
1.3Extensive and Intensive Quantities
1.4Mole
1.5Prepositions
1.6Applicability of Equations


Chapter 2. Partial Derivatives

2.1Introduction
2.2Partial Derivatives
2.3Implicit Differentiation
2.4Product of Three Partial Derivatives
2.5Second Derivatives and Exact Differentials
2.6Euler's Theorem for Homogeneous Functions
2.7Undetermined Multipliers
2.8Dee and Delta


Chapter 3. Temperature

3.1Introduction
3.2Zeroth Law of Thermodynamics
3.3Temperature Scales (1)
3.4Temperature Scales (2)
3.5Exercises


Chapter 4. Thermal Conduction

4.0The Error Function
4.1Introduction
4.2Thermal Conductivity
4.3The Heat Conduction Equation
4.4A Solution of the Heat Conduction Equation


Chapter 5. Thermodynamic Processes

Chapter 6. Properties of Gases

6.1The Ideal Gas Equation
6.2Real Gases
6.3Van der Waals and Other Gases
6.4Gas, Vapour, Liquid and Solid
6.5Kinetic Theory of Gases: Pressure
6.6Collisions
6.7Distribution of Speeds
6.8Forces Between Molecules


Chapter 7. The First and Second Laws of Thermodynamics

7.1The First Law of Thermodynamics, and Internal Energy
7.2Work
7.3Entropy
7.4The Second Law of Thermodynamics


Chapter 8. Heat Capacity, and the Expansion of Gases

8.1Heat Capacity
8.2Ratio of the Heat Capacities of a Gas
8.3Isothermal Expansion of an Ideal Gas
8.4Reversible Adiabatic Expansion of an Ideal Gas
8.5The Clément-Desormes Experiment
8.6The Slopes of Isotherms and Adiabats
8.7Scale Height in an Isothermal Atmosphere
8.8Adiabatic Lapse Rate
8.9Numerical Values of Specific and Molar Heat Capacities
8.10Heat Capacities of Solids


Chapter 9. Enthalpy

9.1Enthalpy
9.2Change of State
9.3Latent Heat and Enthalpy


Chapter 10. The Joule and Joule-Thomson Experiments

10.1Introduction
10.2The Joule Experiment
10.3The Joule-Thomson Experiment
10.4CP Minus CV
10.5Blackbody Radiation


Chapter 11. Heat Engines

11.1Introduction
11.2The Carnot Cycle
11.3The Stirling Cycle
11.4The Otto Cycle
11.5The Diesel Cycle
11.6The Rankine Cycle (Steam Engine)
11.7A Useful Exercise
11.8Heat Engines and Refrigerators
11.9Entropy is a Function of State


Chapter 12. Free Energy

12.1Review of Internal Energy and Enthalpy
12.2Free Energy
12.3
12.4Helmholtz Free Energy
12.5Gibbs Free Energy
12.6Summary, the Maxwell Relations, and the Gibbs-Helmholtz Relations
12.7The Joule and Joule-Thomson Coefficients
12.8The Thermodynamic Functions for an Ideal Gas
12.9The Thermodynamic Functions for Other Substances
12.10Absolute Entropy
12.11Charging a Battery
12.12Surface Energy
12.13Fugacity


Chapter 13. Expansion, Compression and the TdS Equations

13.1Coefficient of Expansion
13.2Compression
13.3Pressure and Temperature
13.4The TdS Equations
13.5Expansion, Compression and the TdS Equations
13.6Young's Modulus
13.7Rigidity Modulus (Shear Modulus)
13.8Volume, Temperature and the Grüneisen Parameter


Chapter 14. The Clausius-Clapeyron Equation

Chapter 15. Adiabatic Demagnetization

15.1Introduction
15.2Adiabatic Decompression
15.3Adiabatic Demagnetization
15.4Entropy and Temperature


Chapter 16. Nernst's Heat Theorem and the Third Law of Thermodynamics

16.1Nernst's Heat Theorem
16.2The Third Law of Thermodynamics


Chapter 17. Chemical Thermodynamics

17.1Equilibrium Constant
17.2Heat of Reaction
17.3The Gibbs Phase Rule
17.4Chemical Potential
17.5Partial and Mean Molar Quantities
17.6The Gibbs-Duhem Relation
17.7Chemical Potential, Pressure, Fugacity
17.8Entropy of Mixing, and Gibbs' Paradox
17.9Binary Alloys
17.10Ternary Alloys


Chapter 18. Experimental Measurements

18.1Introduction
18.2Thermal Conductivity
18.3The Universal Gas Constant
18.4Avogadro's Number and Boltzmann's Constant
18.5Specific Heat Capacities of Solids and Liquids
18.6Specific Heat Capacities of Gases
18.7Latent Heat of Fusion
18.8Coefficient of Expansion





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