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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.