Macroscopic properties like pressure, temperature, and volume arise from the collective behavior of huge numbers of gas molecules:
Pressure: Caused by collisions of gas molecules with the walls of a container. From kinetic theory: pressure relates to average molecular momentum change.
Temperature: Directly linked to the average kinetic energy of the molecules.
Volume: Reflects the space occupied by molecules moving freely.
Number of molecules N is related to amount of substance n using Avogadro’s number
The ideal gas laws come from observations like:
At constant temperature: pV=constant
At constant pressure: V∝T (Charles' Law)
At constant volume: p∝T (Pressure Law)
Assumptions of the kinetic theory of gases:
Gas molecules are small compared to the distances between them.
No forces act between molecules except during brief elastic collisions.
Collisions are perfectly elastic (no energy loss).
Molecules are in random continuous motion.
The volume of the gas molecules themselves is negligible compared to the container volume.
These lead to the Ideal Gas Law: pV=nRT
Random, erratic movement of small particles (like pollen grains) suspended in a fluid. Observed by Robert Brown, explained by collisions with invisible gas/liquid molecules. Supports the idea that matter is made of tiny particles in constant motion — a foundation of kinetic theory.
When gas volume is decreased at constant temperature, pressure increases. Observed in experiments using sealed syringes or pressure sensors. Supports that gas molecules move randomly and that pressure arises from collisions with container walls.
Heating a fixed-volume gas causes its pressure to rise. Observed with pressure gauges as gas is heated in a rigid container. Supports the idea that temperature reflects average kinetic energy of molecules.
pressure where F is the force exerted perpendicular to the surface
the amount of substance n where N is the number of molecules and NA is the Avogadro constant
that ideal gases are described in terms of the kinetic theory and constitute a modelled system used to approximate the behaviour of real gases
that the ideal gas law equation can be derived from the empirical gas laws for constant pressure, constant volume and constant temperature the equations governing the behaviour of ideal gases
that the change in momentum of particles due to collisions with a given surface gives rise to pressure in gases and, from that analysis, pressure is related to the average translational speed of molecules
the relationship between the internal energy U of an ideal monatomic gas and the number of molecules or amount of substance
the temperature, pressure and density conditions under which an ideal gas is a good approximation of a real gas.