Temperature is the measure of average kinetic energy of an object

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SUMMARY

Temperature is defined as the measure of average kinetic energy of an object. In a discussion about a pencil case thrown away with a thermometer inside, it was established that the average kinetic energy of the molecules remains approximately constant despite the object's increased speed. The concept of thermodynamic equilibrium is crucial, as temperature applies when all particles are moving at the same velocity. Additionally, Lorentz transformations confirm that temperature measurements remain consistent across different frames of reference, although real-world factors like air drag can affect readings.

PREREQUISITES
  • Understanding of thermodynamic equilibrium
  • Familiarity with kinetic energy concepts
  • Knowledge of Lorentz transformations in physics
  • Basic principles of thermometry
NEXT STEPS
  • Research thermodynamic equilibrium and its implications in physics
  • Study the relationship between kinetic energy and temperature in gases
  • Explore Lorentz transformations and their applications in thermodynamics
  • Investigate the effects of air drag and friction on temperature measurements
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Students of physics, educators teaching thermodynamics, and professionals involved in experimental physics or thermometry will benefit from this discussion.

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Temperature is the measure of average kinetic energy of an object.
If I put a thermometer in a pencil case, and I throw the pencil case away, the reading does not change. However, the kinetic energy of any particles of the pencil case did vary. Why?
 
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The effects are negligible...?

I'm not too sure what you meant by throwing it away.
 
Increase its speed;
 
The average kinetic energy of the molecules is barely affected by the throw.
 
why? ??
The speed of the object increased
 
But the average kinetic energy of each individual molecule is approximately the same.
 
Note also that temperature is used to describe an object in thermodynamic equilibrium. If all of the atoms and electrons are moving at the same velocity, then the energy is not equally divided among the degrees of freedom. Thus, this would not be well described by a "temperature". You could, however, describe the energy as a linear combination of a total translational kinetic energy and a thermal energy with the same temperature as that measured at rest.
 
& if you want to measure its tempreture,the thermometer would fly with it,therefore there'll be no kinetic energy to the thermometer,so the figure will retain the same,isn't it?
 
The speed of the moving pencil case is negligible compared to the speed of the atoms flying around.
 
  • #10
dreamfly said:
& if you want to measure its tempreture,the thermometer would fly with it,therefore there'll be no kinetic energy to the thermometer,so the figure will retain the same,isn't it?

That's another good point. Since physics is invariant under Lorentz transformations (in other words, we switch to a frame moving with the thermometer and case), then a throw at a constant velocity in a vacuum should give the same temperature measurement as at rest. In real life, though, there would be air drag and friction forces dissipating the kinetic energy of the case and thermometer, effectively thermalizing the energy. Thus, if you throw it fast enough, you will eventually notice a change in temperature (don't forget that fast-moving objects will often "burn up" in the atmosphere).
 

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