AE6765 Outline of Lectures

This is a tentative outline of the material that will be covered and the appropriate reading assignments for each subject. Students should review the reading assignments BEFORE the material is covered in class. Note, class lectures will parallel and expand upon the coverage in the textbook. (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 (10 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
Part II
5. Gibbs Equation and Entropy Transfer
6. Entropy Analysis for a Control Mass
7. Availability Analysis
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 (9 Hours)		D Ch. 3-4	.
A. Perfect Gases			3.1-3.2
1. Single Perfect Gas
2. Perfect Gas Mixtures			3.3
3. Imperfect Gases			3.4-3.8
B. Equilibria of Reactions Involving Gases
1. Reaction Equilibria and Mass Conservation			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. Example
6. Number of Independent Reactions			4.16
7. General Solution Method and Major-Minor Species Model
IV. Quantum Theory and Wave Mechanics (5 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 (4 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 (9.5 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. Determination of Molecular Parameters from Spectroscopic Measurements
VII. Chemically Reacting Gas Mixtures (3.5 hours)		VK Ch. 4
A. Equilibrium Constant: Statistical Mechanics Approach			4.13-4.14
B. Equilibrium Constant: Combined Thermo./Stat. Mech. Approach
C. Specific Heats of Reacting Gas Mixtures
VIII. Introductory Kinetic Theory (4 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
IX. Equilibrium Kinetic Theory (8 hours)		VK Ch. 2, 9, 7	.
A. Velocity Distribution Function			2.2
1. Distribution Functions
2. Position and Velocity Spaces
3. Average Properties
B. Molecular Fluxes and Perfect Gas Equation of State			2.3
1. Differential Number Flux
2. Pressure
3. Other Transport Processes
C. Bimolecular Collisions and Equilibrium Velocity Distribution			9.7, 2.4
1. Bimolecular Collisions
2. Differential Collision Rate and Collision Cross-Section
3. Collision Requirement for Equilibrium			2.4 (9.4)
4. Maxwellian Distribution			2.5
D. Collision Frequency and Mean Free Path			2.6
E. Collision Cross-Sections and Intermolecular Potentials			9.8
F. Inelastic Collisions and Chemical Kinetics			2.7, 7.4, 7.5