## MSE330 : Thermodynamics of Materials

##### The laws of thermodynamics and their consequences. Mass and energy balances. Gas reactions. Equilibrium. Phase diagrams. Ellingham, Pourbaix and stability diagrams.

Prerequisites: (CHEM 130 or 210) and (PHYSICS 140 and 141) and MATH 215 and (MSE 220 or 250)

**Instructor:**Ashwin Shahani

### Course Topics:

- The First Law of Thermodynamics
- The Second Law of Thermodynamics
- Statistical interpretation of entropy
- Enthalpy and the Helmholtz and Gibbs energies
- Heat capacity, enthalpy, entropy, and the Third Law of Thermodynamics
- Phase equilibrium in a one-component system
- The behavior of gases
- The behavior of solutions
- Gibbs energy vs. composition and phase diagrams of binary systems
- Reactions involving gases
- Reactions involving pure condensed phases and a gaseous phase
- Reaction equilibria in systems containing components in condensed solution

### Course Objectives:

- To teach students the nature and basis of the laws of thermodynamics.
- To teach students when and how to apply the laws of thermodynamics to materials, how to calculate the changes in the thermodynamic variables when a material changes state (from gas to liquid to solid) or when the temperature of a material and/or the pressure acting on the material is changed without a change in state.
- To teach students the thermodynamics of mixtures and phases, the coexistence criteria for distinct phases, and how to use phase diagrams to succinctly summarize mixing behavior.
- To teach students the thermodynamics of the reactions of solids with gases and the reactions of several materials all in condensed phases.

### Course Outcomes:

- Given heat capacity data for reactants and products and the heat of reaction at one temperature, compute the heat of reaction at any other temperature [1,2].
- Given that a gas can be assumed to be approximately ideal, be able to determine work and heat in and out of the gas as it is cycled over a range of temperatures and pressures [1,2].
- Given component activities in a solution at one temperature and concentration, compute the activities at another temperature and concentration assuming the solution is regular [3].
- Given ideal solution behavior, be able to compute changes in enthalpy and Gibbs energy when a pure material is added to the solution [1,3].
- Given vapor pressure data of a component, be able to compute boiling points and latent heat of boiling [2].
- Given the activity coefficient of one component in a binary mixture over the range of composition, be able to determine the activity of the second component at any composition [3].
- Given appropriate thermodynamic data, be able to determine composition in a gas mixture at any specified temperature, and be able to compute equilibrium compositions when in contact with solids with similar components [4].

### Assessment Tools:

- In-class reflections and closed-book quizzes and exams to test objectives for individual students.
- Weekly problem sets to test objectives with less time pressure and with the possibility of student collaboration for conceptualization of solution.