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Penn State University
College of Earth and Mineral Sciences

MATSE 401: Thermodynamics Of Materials

Textbook: David V. Ragone, Thermodynamics of Materials, Volume I, J. W. Wiley 1995

Faculty: L. Q. Chen, Associate Professor of Materials Science and Engineering

Description

Discussion of three fundamental laws of thermodynamics and their applications to materials systems, particularly phase transformations and phase equilibria in single and binary systems.

Course Topics

  1. Introduction to classical equilibrium thermodynamics and its relation to non-equilibrium thermodynamics and statistical thermodynamics.
  2. First law of thermodynamics and its applications to constant pressure processes: calculation of enthalpy as a function of temperature; calculation of heat of reactions including chemical reactions and first-order phase transformations such as melting and solidification; calculation of adiabatic flame temperature.
  3. Second law of thermodynamics and introduction of entropy: reversible processes and maximum work theorem.
  4. Third law of thermodynamics; calculation of entropy as a function of temperature and entropy of reactions.
  5. Combined first and second law of thermodynamics; equilibrium conditions; introduction of Helmholtz and Gibbs free energy functions.
  6. Relation of thermal properties and thermodynamic functions; Maxwell relations and property relationship.
  7. Introduction of chemical potential and phase equilibria in one component systems; pressure-temperature phase diagrams of single-component systems; Clapeyron equation.
  8. Equilibrium of chemical reactions: definition of standard states; gas reactions; gas-solid reactions; oxidation reactions and the Ellingham diagram.
  9. Solution thermodynamics: activity and activity coefficient; free energy of formation of solutions; chemical potentials of specifies in a binary system; Gibbs-Duhem relation.
  10. Relation between free energies and phase equilibria in binary systems; binary phase diagrams; Level rule and Gibbs phase rule.
  11. Electrochemistry: half-cell reactions; cell voltage; concentration cells.

Course Objectives

  1. To provide students with an elementary understanding of three laws of thermodynamics, and their applications as well as the limitations.
  2. To teach students to perform simple thermodynamic calculations for basic materials processes such as chemical reactions and phase transformations and the ability to determine the possibility of the processes based on the calculations
  3. To teach students how to read single-component and binary phase diagrams.

Course Outcomes

  1. Student’s ability to perform simple thermodynamic calculations such as heat of chemical reactions and phase transformations
  2. Student’s ability to calculate free energy of chemical reactions and phase transformations and to determine whether a phase transformation or chemical reaction is thermodynamically possible
  3. Student’s ability to read Ellingham diagrams for oxidation reactions
  4. Student’s ability to read and understand single-component pressure-temperature phase diagrams
  5. Ability to read and understand binary phase-diagrams and their relationship to free energy formation of solutions
  6. Ability to write simple half-cell reactions and calculate cell voltages of electrochemical cells.

Computer Usage

Computer usage is required in solving certain homework problems and in a computer lab project using a commercial thermodynamic software.