AE6765 Outline of Lectures

This is an outline of the material that will be covered and optional reading assignments for each subject. Students are highly encouraged to review the lecture material before the material is covered in class. (D indicates readings in Denbigh, VK refers to Vincenti and Kruger.)
 

Subjects		Reading Assignment
		Primary Chapters	Sections
I. Introduction and Overview (0.5 Hours)
II. Classical (Chemical) Thermodynamics for Compressible Substances (9 Hours)		D Ch. 1-2
A. Basis in Fundamental Postulates and Laws			1.1
B. Definitions			1.2-1.3
C. Independent Variations of Thermodynamic Properties - The State Postulate			1.3
D. Zeroth Law - Temperature			1.4
E. 1st Law			1.5-1.8
F. 2nd Law			1.9-1.16
1. Observations
2. Postulate (in terms of entropy production)
3. Reversible and Irreversible Processes
4. Thermodynamic Definitions of Temperature and Pressure
5. Gibbs Equation and Entropy Transfer
6. Entropy Analysis for a Control Mass
7. Availability Analysis, Optimum Work, Carnot Efficiency
G. Auxiliary Functions and Conditions for Equilibrium			2.1-2.2
1. Properties of the Enthalpy
2. Userful Work for Flowing Systems
3. Useful Work for Reacting Systems
4. General Conditions for Chemical Equilibrium
5. Chemical Potential and Mixture Equilibria (Chemical and Phase)			2.6-2.7
6. Maxwells Relations and Other Mathematical Property Relationships			2.10
7. Measurable Quantities in Thermodynamics			2.12
a. Specific Heats (cp,cv)
b. Compressibility Coefficients (a,b,k)
c. Relations Between (cp,cv) and (a,b,k)
d. Heats of Reaction and Phase Change
8. Property Changes from State Equations			2.12
9. Molar and Partial Molar Quantities			2.13
III. Chemical Thermodynamics of Gases (8.5 Hours)		D Ch. 3-4	.
A. Perfect Gases			3.1-3.2
1. Properties of Single Perfect Gas
2. Properties of Perfect Gas Mixtures			3.3
B. Imperfect (Real) Gas Properties			3.4-3.8
C. Equilibrium States for Reacting Gases
1. Mass Conservation and Reaction Equilibria			4.1-4.4
2. Equilibrium Constant (Kp) for a Gas Reaction			4.5-4.7
a. Law of Mass Action
b. van't Hoffs Equation
c. Overall Reactions
3. Standard Reference States (Formation,  3rd Law of Thermodynamics)			4.8
4. Mixed Phase Equilibria			4.10-4.12
5. Gas Chemical Equil. Example: Known T,p
6. Number of Independent Reactions			4.16
7. General Solution Method and Major-Minor Species Model
IV. Quantum Theory and Wave Mechanics (4 Hours)		VK Ch.4
A. Statistical Mechanics and Molecular Models
B. Origin of Quantum Theory of Matter - Bohr Model of Atom
C. Quantum Mechanics/Wave Theory
1. Background and Interpretation			4.2
2. Schrodinger Equation			4.3
3. Schrodinger Equation Solutions for Molecular Motions			4.3
a. Free Particle
b. Particle in a Box
c. Harmonic Oscillator
d. Rigid Rotor
e. Electronic Energy (H atom)
V. Statistical Mechanics (3.5 hours)		VK Ch. 4	4.1-4.2; D11.1-8
A. Enumeration of Microstates			4.4
B. Boltzmann Limit
C. Most Probable Macrostate
D. Distribution over Energy States			4.5-4.6
VI. Statistical Thermodynamics and Thermodynamic Properties (10.5 hours)		VK Ch. 4
A. Thermodynamic Relations (Boltzmann's Relation)			4.7-4.8
B. Gas Properties
1. Independent Energy Modes			4-10
2. Translational Properties			4.9
3. Monatomic Gas with Electronic Excitation			4.11
4. Diatomic Gas			4.12
5. Boltzmann Fractions
6. Improved Models
7. Polyatomic Molecules
C. Chemically Reacting Gas Mixtures
1. Partition Functions and Equilibrium Constant			4.13-4.14
2. Properties of Reacting Gas Mixtures
D. Equilibrium Energy Distribution for Radiation: Blackbody Radiation		VK Ch.11	11.4
VII. Introductory Kinetic Theory (2 hours)		VK Ch. 1	.
A. Molecular Models			1.2
B. Pressure, Temperature and Energy			1.3
C. Transport Properties
1. Mean Free Path and Collision Rate			1.4
2. Molecular Diffusion			1.5
VIII. Equilibrium Kinetic Theory (8 hours)		VK Ch. 2, 9, 7	.
A. Velocity Distribution Function			2.2
1. Distribution Functions and Average Properties
2. Velocity Space
B. Molecular Fluxes			2.3
1. Differential Number Flux
2. Pressure: Perfect Gas Equation of State
3. Diffusive Transport
C. Bimolecular Collisions and Equilibrium Velocity Distribution			9.7, 2.4
1. Bimolecular Collisions and Center-of-Mass Analysis
2. Differential Collision Rate and Collision Cross-Section
3. Collision Requirement for Equilibrium			2.4 (9.4)
4. Maxwellian Velocity and Speed Distribution Functions			2.5
D. Bimolecular Collision Rate, Collision Frequency and Mean Free Path			2.6
E. Diffusion			9.8
F. Inelastic Collisions			2.7, 7.4, 7.5
IX. Applications(2 hours)			.