5.1The Gaseous State

5.1    The Gaseous State

Kinetic theory of gases

  • Assumptions made in the kinetic theory of gases as applied to ideal gases:
    • The gas particles have zero intermolecular forces between them
    • The gas particles behave as point particles which have negligible volume.
    • The gas particles are in constant random motion, colliding with each other and the wall of the container frequently
    • All collisions between the gas particles are perfectly elastic
    • Pressure is due to the collision of gas particles with the wall of container
  • In the gaseous state, the particles can move freely and are far  apart.
  • A gas has no ftxed shape and volume, it takes the shape of container and always fills The volume of a gas depends on its pressure, temperature and number of moles.

 

Ideal gas and real gas

  • A real gas is most like an ideal gas at:

i.   low  pressures

  • At low pressures, the distance between gas particles is large and the volume of the gas particles is negligible(very small compared to the volume of the container).
  • Intermolecular forces are also negligible at low pressures.

ii.   high temperatures(well above its boiling point)

– At high temperatures, the gas particles have negligible intermolecular forces between them because they have sufficient energy to overcome it.

 

  • However, an ideal gas does not exist, because:
    1. there are intermolecular forces between the gas particles
    2. the volume occupied by the gas particles is not zero
  • A real gas shows biggest deviation from an ideal gas at:

i.   high pressures

  • At high pressures, the gas particles are packed close together, thus the volume occupied by the gas particles is not negligible
  • The intermolecular forces between them is also not negligible

ii.   low temperature

  • At low temperatures, the gas particles are packed close together, thus the volume occupied by the gas particles is not negligible
  • The intermolecular forces between them is also not negligible because they do not have sufficient energy to overcome it

 

The general gas equation