MOL-004 · Molecular-kinetic theory Sample material

The basic equation of kinetic theory and ideal gas laws

The ideal gas model, the basic equation of molecular-kinetic theory and its derivation, the molecular meaning of temperature, the Mendeleev–Clapeyron equation, isoprocesses (Boyle–Mariotte, Gay-Lussac and Charles laws) and Dalton's law.

Estimated time: 3 h 5 activities

Learning objective

Understand the ideal gas model and the limits of its applicability.
Derive the basic equation of MKT and grasp the molecular meaning of pressure.
Learn to apply the ideal gas equation of state (Mendeleev–Clapeyron) in its various forms.
Know the laws of isoprocesses and their graphs.

Expected outcomes

Calculates gas pressure from the number density and mean kinetic energy of molecules.
Finds the root-mean-square speed of molecules.
Uses the Mendeleev–Clapeyron equation to calculate the mass, pressure, volume or temperature of a gas.
Draws isoprocesses on $p$–$V$, $V$–$T$ and $p$–$T$ diagrams and solves problems on them.

Interactive modelMolecules of an ideal gas

Activities

Lecture
Lecture · 1 h 20 min · required
Problem solving on the topic "Ideal gas laws"
Practice · 1 h 20 min · required
Studying the dependence of gas volume on pressure at constant temperature (Boyle–Mariotte law)
Laboratory · 2 h 15 min · optional
Studying the dependence of gas volume on temperature at constant pressure (Gay-Lussac law)
Laboratory · 2 h 15 min · optional
Final test
Test · 20 min · required · pass ≥ 70%

Completion conditions

  • Lecture
  • Problem solving on the topic "Ideal gas laws"
  • Final test — at least 70%