The exhaustive list of topics in Advanced Thermodynamics in which we provide Help with Homework Assignment and Help with Project is as follows
- Thermodynamics and statistical mechanics
- Internal energy
- First law of thermodynamics
- Intensive and extensive properties.
- Concept of entropy
- Second law of thermodynamics :
- Extremum principles of Energy and Entropy.
- Legendre transforms of energy and reformulation of second law in terms of the Legenedre transforms
- Maxwell relations
- Maximum work theorem.
- Conditions of phase equilibrium and Its applications
- Gibbs Duhem relations
- Gibbs phase rule
- Cojugate variables
- Criteria for stability and its implications.
- Chemical reactions:
- Condition of equilibrium for a reaction mixture
- Equilibrium constants
- Heat of reaction.
- Thermodynamics of fluid-fluid interfaces:
- Dividing surface
- Surface excess quantities
- Condition of equilibrium at interfaces
- Kelvin equation
- Gibbs adsorption isotherm
- Thermodynamics of fluid-solid interfaces :
- Condition of equilibrium with respect to dissolution and growth of solids.
- Classical mechanics:
- Lagrangian formulation
- Constants of motion
- Hamilton's principle
- Phase space
- Concept of statistical ensemble
- Statistical independence of macroscopic bodies
- Liouville equation
- Measurements and ensemble averages.
- Microcanonical
- Canonical and Grand-canonical ensembles
- Gibbs entropy formula and Boltzmann entropy formula
- Partition functions
- Fluctuations and stability.
- Ideal gas :
- Analytical derivations of the partition functions of ideal gas in various ensembles and thermodynamic properties,
- Ideal solid :
- Analytical derivation of partition function
- Heat capacity
- Non-ideal gases
- Virial equation of state
- Second virial coefficient.
- Liquids :
- Distribution functions
- Pair correlation function g(r) and experimental measurement of g(r) by diffraction
- Mean-field theory and perturbation theory.
- Dilute solutions and colligative properties:
- Derivation of Raoults law
- Henry's law
- Van't Hoff 's formula for osmotic pressure.
- Boiling point elevation
- Freezing point depression.
- Introductory Quantum Statistical mechanics :
- Schrödinger Wave equation
- Degeneracy
- Partition functions.
- Ideal gas of polyatomic particles
- Molecular partition functions
- Einstein and Debye theory of perfect crystals.