Understanding the Relationship between K, kcm, and kint

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SUMMARY

The relationship between K, kcm, and kint is defined by the equation K = kcm + kint. In this context, kcm represents the kinetic energy associated with the center of mass, calculated as kcm = 0.5mv²cm. The variable kint refers to internal kinetic energy, which encompasses the internal motion of gas molecules, including vibrations and phonons, contributing to thermal energy. This understanding is crucial in the kinetic theory of gases, where K_int is pivotal in explaining the behavior of gas molecules.

PREREQUISITES
  • Understanding of kinetic energy equations
  • Familiarity with the concept of center of mass
  • Basic knowledge of gas behavior in physics
  • Concepts of internal motion and thermal energy
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  • Study the kinetic theory of gases in detail
  • Explore the relationship between phonons and thermal energy
  • Learn about the mathematical derivation of kinetic energy equations
  • Investigate the implications of internal motion on gas properties
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Physics students, researchers in thermodynamics, and professionals studying gas dynamics will benefit from this discussion.

negation
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So K = kcm + kint

Since kcm relates to the center of mass, am I correct in my understanding to state
kcm = 0.5mv2cm?

What about kint? What does this variable refers to conceptually?
 
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Presumable the "int" stands for "internal motion" ... vibrations, etc. Any coherent motion is a form of sound (phonons); incoherent internal motion shows up as heat.

The kinetic theory of gasses is based on the K_int of the gas molecules; the K_com would be the wind ...
 

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