All the exercises of the chapter, worked step by step, in order of appearance in the textbook: worked examples from the text and end-of-chapter problems (numerical, conceptual, true/false, ranking, graphical, Fermi estimates and challenges).
Exercises and problems
- Worked example — Helium in a braking truck
- Celsius-Kelvin conversion
- True or false on ideal gas and speed
- Root-mean-square speed of nitrogen
- Internal energy of helium, monatomic and diatomic
- Cylinder that falls and stops
- Hydrogen or oxygen faster
- Estimating collisions per second on a hand
- Derivation of PV = nRT
- Escape temperature of hydrogen
- Ranking of root-mean-square speeds
- Why the atmosphere has no helium
- Moles and molecules in a cylinder
- Temperature that doubles the pressure
- Root-mean-square speed and the speed of sound
- Hydrogen or oxygen at the same temperature
- Ranking of average kinetic energy
- True or false on gas properties
- Estimating collisions on one square centimetre
- Worked example — Equipartition and degrees of freedom
- Worked example — Escape of hydrogen from the ionosphere
- Pressure and molecular collisions
- Two gases at the same temperature
- Maxwell-Boltzmann at two temperatures
- Ranking of v_rms for four gases
- Ranking of pressures by temperature
- Pressure of an ideal gas
- Drill on the v_rms of nitrogen
- Internal energy of a monatomic gas
- Boyle’s law
- Expansion at constant pressure
- Collision frequency
- Temperature from v_rms
- Isotherm on a logarithmic scale
- Critical temperature from Van der Waals
- Thought experiment: without molecular repulsion
- Thought experiment: gas in five dimensions
- Thought experiment: doubled Boltzmann constant
- Tyre on the motorway
- Why coffee cools down
- Rubber and heat
- Van der Waals isotherm below T_c
- Speed distribution: hydrogen or oxygen
- Fermi estimate: molecules in a room
- Fermi estimate: collisions on the skin
- Fermi estimate: sauna
- Pressure on a paper cone
- Diffusion of a scent
- Isothermal barometric distribution