what are the postulates of kinetic theory of gases

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1The molecules in agasare small and very far apart. Most of the volume which a gas occupies is empty space.

2Gas molecules are in constant random motion. Just as many molecules are moving in one direction as in any other.

3Molecules can collide with each other and with the walls of the container. Collisions with the walls account for thepressureof the gas.

4When collisions occur, the molecules lose no kineticenergy; that is, the collisions are said to beperfectly elastic. The total kinetic energy of all the molecules remains constant unless there is some outside interference with the

5The molecules exert no attractive or repulsive forces on one another except during the process of collision. Between collisions, they move in straight lines.

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The theory for ideal gases makes the following assumptions:

  • The gas consists of very small particles known as molecules. This smallness of their size is such that the totalvolumeof the individual gas molecules added up is negligible compared to the volume of the smallest open ball containing all the molecules. This is equivalent to stating that the average distance separating the gas particles is large compared to theirsize.
  • These particles have the samemass.
  • The number of molecules is so large that statistical treatment can be applied.
  • These molecules are in constant,random, and rapid motion.
  • The rapidly moving particles constantly collide among themselves and with the walls of the container. All these collisions are perfectly elastic. This means, the molecules are considered to be perfectly spherical in shape, and elastic in nature.
  • Except during collisions, theinteractionsamong molecules arenegligible. (That is, they exert noforceson one another.)
This implies:1.Relativisticeffects are negligible.2.Quantum-mechanicaleffects are negligible. This means that theinter-particle distanceis much larger than thethermal de Broglie wavelengthand the molecules are treated asclassicalobjects.3. Because of the above two, their dynamics can be treated classically. This means, the equations of motion of the molecules are time-reversible.
  • The averagekinetic energyof the gas particles depends only on theabsolute temperatureof thesystem.
  • The time during collision of molecule with the container's wall is negligible as compared to the time between successive collisions.
  • Because they have mass, the gas molecules will be affected by gravity.
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