Advanced Thermodynamics in Chemical Engineering

I. Classical Thermodynamics

a) Postulates of thermodynamics law

Zeroth law, First law, Second law, Third law, Maxwell's equation, Phase rule

b) Properties of pure fluids

Work function, Gibbs free energy, Fugacity, Activity, Gibbs-Helmholtz equation, Clausius-Clapeyron equation

c) Properties of solutions

Partial molar properties, chemical potential, Fugacity in solutions, Henry's law, Activity coefficient, Gibbs-Duhem equation,

property change of mixing

d) Phase Equilibria

phase equilibria criteria, Duhem rules, Phase diagrams for binary solutions

e) Chemical Reaction Equilibria

reaction stoichiometry, equilibrium constant, standard free energy change, effect on temperature and P on equilibrium constant

van't Hoff equation

f) Interatomic forces and Intermolecules forces

1. van der waal forces

2. L-J potential ,

3. DLVO forces, Non DLVO forces

3. Hamaker constant, surface tension

II. Molecular Thermodynamics

a) Wave particle duality, Heisenberg Uncertainty principle , Phase Space

b) Wave Equation- One and two dimensional

c) Schrodinger Equation,

d) Statistics - Fermi-Dirac Statistics, Bose-Einstein Statistics, Maxwell Boltzmann statistics

e) Probability, Partition function

f) Thermodynamics Properties (chemical potential, entropy, pressure) in terms of partition function

g) Ensembles: Canonical, Micro-canonical Ensemble, Semi-grand Canonical ensemble