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
• 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.