ME 6765 Kinetics and Thermodynamics of Gases

ME 6765: Kinetics and Thermodynamics of Gases
Offered Every Fall

Credit Hours:	4-0-4
Prerequisites:	Exposure to thermodynamics, e.g., thermodynamics properties, and First and Second Law of Thermodynamics and graduate standing.
Catalog Description:	Thermodynamics of nonreacting and reacting gas mixtures. Introductory quantum theory, statistical thermodynamics and gas kinetic theory. Crosslisted with AE 6765.
Textbooks:	Kenneth G. Denbigh, The Principles of Chemical Equilibrium: With Applications in Chemistry and Chemical Engineering, 4th Edition, Cambridge University Press, 1994. Walter G. Vincenti and Charles H. Kruger, Introduction to Physical Gas Dynamics, Krieger Publishing, 1976.
Coordinators:	Jerry M. Seitzman (AE); Jechiel Jogoda (AE - Fall 2004)

Goals:

Thermodynamics of nonreacting and reacting gas mixtures.
Equilibrium properties of gas mixtures.
Quantum states and energy levels of molecules.
Equilibrium population distribution of molecular energy levels.
Equilibrium kinetic theory of gases.
Transport properties of gases.

Lecture Topics:

Classical Thermodynamics
Overview and Thermodynamic Definitions
The State Postulate and Reversible Work Modes
Zeroth, First, and Second Laws of Thermodynamics
Gibbs Equation and Entropy Transfer
Entropy Analysis for a Control Mass, and Availability Analysis for a Control Volume
Properties of the Enthalpy
Useful Work for Flowing and Reacting Systems (Control Volume Analysis)
General Conditions for Chemical Equilibrium of a Mixture; Chemical Potential and Chemical/Phase Equilibrium
Maxwell's Relations and Other Mathematical Relationships
Measurable Quantities in Thermodynamics (Specific Heats, Compressibility Coefficients, Heats of Reaction and
Phase Change)
Calculation of Changes in Thermodynamic Properties
Molar and Partial Molar Quantities
State Equations for a Single Perfect Gas, a Perfect Gas Mixtures, and Imperfect Gases
Equilibria of Reactions Involving Gases, Equilibrium Constant Kp and Law of Mass Action
Standard Reference States: Gibbs Free Energies and Enthalpies of Formation
Mixed Phase Equilibria
Stoichiometric Reactions, Independent Reactions, and a General Method for Solving Equilibrium Composition
(Major-Minor Species Model)
Quantum Theory and Wave Mechanics
Molecular Models
Origin of Quantum Theory of Matter - Bohr Model of Atom
Quantum Mechanics/Wave Theory (Schrodinger Equation)
Free Particle, Particle in a Box, Harmonic Oscillator, Rigid Rotor
H atom (Electronic Energy)
Statistical Mechanics
Enumeration of Microstates
Most Probable Macrostate
Distribution over Energy States
Statistical Thermodynamics and Thermodynamic Properties
Thermodynamic Relations
Independent Energy Modes
Translational Properties; Monatomic Gas with Electronic Excitation
Diatomic Gas and Boltzmann Fractions
Improved Models/Corrections
Polyatomic Molecules
Chemically Reacting Gas Mixtures
Equilibrium Constant: Statistical Mechanics Approach
Equilibrium Constant: Combined Thermo./Stat. Mech. Approach
Specific Heats of Reacting Mixtures
Gas Radiation and Optical/Laser Diagnostics
Aborption/Emission Lines and Einstein Coefficients
Scattering and Overview of Optical Diagnostic Methods
Introductory Gas Kinetic Theory
Models of Molecular Potentials
Pressure, Temperature and Internal Energy from Collisions
Mean Free Path
Transport Phenomena
Molecular Magnitudes
Equilibrium Gas Kinetic Theory
Velocity Distribution Function
Equation of State for a Perfect Gas
Equilibrium and Maxwellian Distribution
Collision Rate and Mean Free Path
Energy Involved in Collisions
Inelastic Collision Rates
Transport Properties

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Revised June 2004