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.
Instructors: Jerry M. Seitzman (AE); Jechiel Jogoda (AE)
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.
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