Kinetic Molecular Theory of Gases

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SUMMARY

The Kinetic Molecular Theory of Gases states that gas particles of varying mass possess the same average kinetic energy at a given temperature. This phenomenon is attributed to the relationship between mass and velocity, where particles with greater mass move at lower velocities to maintain equivalent kinetic energy. The discussion emphasizes that kinetic energy is directly related to temperature, as heat transfer occurs from particles with higher kinetic energy to those with lower kinetic energy. Understanding this principle is essential for grasping concepts in statistical mechanics.

PREREQUISITES
  • Understanding of Kinetic Energy and its formula (K.E = 1/2 mv²)
  • Basic knowledge of temperature and its relation to kinetic energy
  • Familiarity with the concepts of mass and velocity
  • Introductory concepts of statistical mechanics
NEXT STEPS
  • Study the relationship between temperature and kinetic energy in gases
  • Learn about the implications of mass on particle velocity in the context of kinetic energy
  • Explore statistical mechanics and its role in thermodynamics
  • Investigate the Maxwell-Boltzmann distribution and its application to gas particles
USEFUL FOR

Students of physics, chemists, and anyone interested in thermodynamics and the behavior of gases under varying conditions.

Bashyboy
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Hello,

So, I am reading this theory, and I come across this sentence explaining to me that gas particles of different mass have the same average kinetic energy at a particular temperature. Is this somehow due to momentum? Each particle is given a certain energy which will cause them to move at a certain velocity, and, since they have different masses, the energy they receive will cause them to move at a certain velocity that is relative to their mass? If this isn't a correct way of thinking, please explain to me why particles of different masses can have the same average kinetic energy.

Thank you.
 
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Because it is the kinetic energy that determines the temperature. I think that particles with higher kinetic energy, on average, is more likely to transfer their energy to particles with lower kinetic energy. Therefore, temperature is the representation of this, since heat flows from higher temperature to lower temperature. (I think it has something to do with statistical mechanics which I haven't learned any)

Since K.E is the same, different mass would have different velocity.
 

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