Free Course Image Thermodynamics and Statistical Physics

Free online courseThermodynamics and Statistical Physics

Duration of the online course: 14 hours and 53 minutes

New

Master thermodynamics and statistical physics to solve real heat and energy problems. Free online course with practice questions and exam-ready concepts.

In this free course, learn about

  • Thermal physics basics: temperature, internal energy, and the Kelvin scale (absolute zero)
  • Specific heat capacity and heat capacities at constant volume/pressure (Cv, Cp) and their relation
  • First law applications: work/heat in processes (e.g., isochoric) and what stays constant adiabatically
  • Second law ideas and entropy; Carnot cycle and the Carnot limit for maximum engine efficiency
  • Thermodynamic potentials, especially Gibbs free energy: G = U + pV − TS and what each term means
  • Microstates counting and the link between multiplicity and macroscopic behavior
  • Gibbs entropy definition/derivation and its role in statistical mechanics
  • Boltzmann distribution for equilibrium probabilities of states vs energy and temperature
  • Partition function Z: central tool to compute thermodynamic quantities; why divide by N! for ideal gas
  • Equipartition theorem and Dulong–Petit law; connect degrees of freedom to internal energy
  • Einstein and Debye crystal models: phonons, density of states, and heat capacity behavior
  • Quantum gases: thermal wavelength, dilute gas condition, fermions vs bosons, BEC, Pauli principle
  • Planck’s law and resolution of the ultraviolet catastrophe; basics of Fermi gas/Sommerfeld model
  • Magnetism and phase transitions: atomic energy levels causing magnetism; superconducting transitions

Course Description

Build a clear, confident understanding of how heat, work, energy and temperature shape the physical world in this free online course on thermodynamics and statistical physics. You will move beyond memorizing formulas and learn to reason from first principles: what temperature really measures, why absolute zero matters, and how microscopic motion connects to macroscopic behavior. Along the way, you will develop the intuition to interpret processes on PV diagrams, predict how systems respond to heating or compression, and explain everyday phenomena using the laws of thermodynamics.

The course starts with the foundations of thermal physics, including specific heat capacity and kinetic theory, then guides you through the first and second laws, isochoric and adiabatic changes, and the meaning of key constraints such as constant volume or no heat transfer. You will also learn to work with heat capacities at constant pressure and constant volume and understand the relationships between them, helping you choose the right model when solving problems. As you progress, thermodynamic potentials bring a powerful perspective for analyzing equilibrium and spontaneous change, and idealized engines such as the Carnot cycle reveal the hard limits on efficiency that every real machine must obey.

After the macroscopic viewpoint is secure, statistical physics opens the door to a deeper explanation: how microstates, entropy, and probability lead to the laws you observe in bulk matter. You will see how Gibbs entropy and the Boltzmann distribution organize equilibrium behavior, and how the partition function becomes a central tool for extracting thermodynamic quantities. From there, you will connect statistics to materials and modern physics topics, including equipartition, quantum gases, fermions versus bosons, Bose-Einstein condensation, and models of solids that explain heat capacity and excitations such as phonons.

With practice questions integrated throughout, you can test understanding as you learn, strengthen problem-solving habits, and prepare for school or early university physics. By the end, you will be able to translate between microscopic models and measurable properties, reason about phase behavior and transitions, and interpret landmark ideas such as Planck’s resolution of the ultraviolet catastrophe and the statistical origins of magnetism and superconductivity.

Course content

  • Video class: Thermal Physics - A Level Physics 26m
  • Exercise: What is absolute zero in the Kelvin scale?
  • Video class: Specific Heat Capacity and Kinetic Theory of Gasses - A Level Physics 41m
  • Exercise: What is the definition of specific heat capacity?
  • Video class: Introduction to Thermodynamics 29m
  • Exercise: What is the work done in an isochoric process?
  • Video class: Heat Capacity at constant Volume 27m
  • Exercise: What is the relationship between heat capacities at constant pressure and constant volume?
  • Video class: Adiabatic Change and the Second Law of Thermodynamics - University Physics 30m
  • Exercise: What is constant during an adiabatic process?
  • Video class: Thermodynamic Potentials - University Physics 33m
  • Exercise: Which of the following is added to the internal energy to define the Gibbs free energy?
  • Video class: The Carnot Cycle - University Physics 43m
  • Exercise: What is a key takeaway from the Carnot cycle in thermodynamics?
  • Video class: Introduction to Statistical Physics - University Physics 34m
  • Exercise: What is the number of microstates for distributing 6 units of energy among 3 systems?
  • Video class: Statistical Physics - Gibbs Entropy Derivation - University Physics 21m
  • Exercise: What is the Gibbs entropy in statistical mechanics?
  • Video class: Statistical Physics - The Boltzmann Distribution 35m
  • Exercise: What does the Boltzmann distribution describe in statistical mechanics?
  • Video class: Statistical Physics - Magic Box Relations, State Degeneracy and Examples - University Physics 35m
  • Exercise: What is the role of the partition function (Z) in statistical mechanics?
  • Video class: The N-Particle Partition Function - Statistical Physics - University Physics 39m
  • Exercise: What is the purpose of dividing by n! in the N-particle partition function for an ideal gas?
  • Video class: The Equipartition Theorem and Dulong-Petit Law - Statistical Physics - University Physics 42m
  • Exercise: Relationship Between Internal Energy and Equipartition Theorem
  • Video class: Einstein Model of a Crystal - Statistical Physics - University Physics 47m
  • Exercise: What is the heat capacity at constant volume (Cv) for an Einstein solid model?
  • Video class: Density of States - Statistical Physics - University Physics 45m
  • Exercise: What defines the concept of 'density of states' in statistical physics?
  • Video class: The Dilute Gas Limit and Thermal Wavelength - Statistical Physics - University Physics 35m
  • Exercise: What is the condition for a dilute quantum gas?
  • Video class: Fermions and Bosons - Statistical Physics - University physics 40m
  • Exercise: What is the main difference between fermions and bosons?
  • Video class: Bose Einstein Condensation - Statistical Physics - University Physics 40m
  • Exercise: What is a Bose-Einstein Condensate?
  • Video class: The Fermi Gas and Sommerfeld Model - Statistical Physics - University Physics 1h01m
  • Exercise: What is the Pauli Exclusion Principle?
  • Video class: Phonons and The Debye Model - Statistical Physics - University Physics 57m
  • Exercise: What is a phonon in the context of the Debye model for insulators?
  • Video class: Planck's Law and The Ultraviolet Catastrophe - Statistical Physics - University Physics 34m
  • Exercise: Who resolved the ultraviolet catastrophe?
  • Video class: Magnetism - Statistical Physics - University Physics 57m
  • Exercise: What are the energy levels in an atom responsible for magnetic properties?
  • Video class: Phase Transitions and Superconductivity - Statistical Physics - University Physics 32m
  • Exercise: What is an example of a second order phase transition in superconductivity?

This free course includes:

14 hours and 53 minutes of online video course

Digital certificate of course completion (Free)

Exercises to train your knowledge

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