Program
History and progress transfer
Session summary
Homework — optional, outside the timer
Theory of all steps of the program by blocks. Open a topic to read it.
How a session goes
A session is 10–90 minutes: a warm-up on what you've learned, new steps with short theory and problems, practice. Each problem gives two tries: 100 points on the first, 60 on the second; after the second mistake the correct answer is shown. You move on in the program if 70 % of the problems are solved.
Problems with numbers are generated anew every time a step is repeated. A fractional answer can be entered with a comma, a point or as a fraction: 0,5, 0.5, 1/2. In Practice any topic is available without a timer.
About the course
Kinetic theory of gases, the Maxwell and Boltzmann distributions, mean free path and transport phenomena. The laws of thermodynamics, heat capacities of gases, the adiabat, cycles and efficiency, the Carnot cycle, entropy, the van der Waals gas and phase transitions.
Course program: 25 lessons
Kinetic theory of gases
- Basic equation of kinetic theory
- Degrees of freedom and internal energy
- Kinetic theory: more
- Checkpoint: kinetic theory
Distributions and transport phenomena
- Maxwell distribution
- Barometric formula and Boltzmann distribution
- Mean free path and transport phenomena
- Distributions and transport: more
- Checkpoint: distributions and transport
First law of thermodynamics
- Work of a gas on a pV diagram
- First law of thermodynamics
- Heat capacities, Mayer's relation, γ
- First law: more
- Checkpoint: first law
Processes and cycles
- Isotherm, adiabat and polytrope
- Cycles and heat engine efficiency
- Carnot cycle, refrigerator and heat pump
- Processes and cycles: more
- Checkpoint: processes and cycles
Entropy and real gases
- Second law and entropy
- Statistical meaning of entropy
- The van der Waals equation and the critical point
- Phase transitions and the Clausius–Clapeyron equation
- Entropy and real gases: more
- Checkpoint: entropy and real gases