Why is the conversion from eV to Kelvin so high?

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Discussion Overview

The discussion revolves around the conversion of electronvolts (eV) to Kelvin (K) and the implications of this conversion in the context of many-particle systems. Participants explore the relationship between energy and temperature, particularly in relation to statistical mechanics and the Boltzmann distribution.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant notes that 7 eV corresponds to 81121 K, questioning how such a high temperature can be associated with that energy level.
  • Another participant explains that temperature is defined for many-particle systems, where the average energy of particles at a given temperature can be represented in eV.
  • There is a suggestion that the relationship may relate to the mean of a Boltzmann distribution, with a focus on vibrational energy.
  • Participants discuss that not all energy in a system needs to be vibrational; it can also include translational and rotational degrees of freedom depending on the type of gas or molecule.
  • One participant emphasizes the distinction between kinetic and electric energy, suggesting this difference may be significant in understanding the energy-temperature relationship.

Areas of Agreement / Disagreement

Participants express varying interpretations of the relationship between energy and temperature, particularly regarding the types of energy present in different systems. There is no consensus on the implications of these interpretations.

Contextual Notes

Some assumptions about the definitions of temperature and energy types are not fully explored, and the discussion does not resolve the complexities of energy distribution in various systems.

Questions554
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I mean eV are something like 1.6x 10^-19 joules but somehow 7eV corresponds to 81121 K?? At that temperature you should have a lot more energy than 7eV! No?
 
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Temperature is soemthing which can be defined for only many particle systems, you need to have at least a few hundread particles, if not more!
Then, the energy equivalent to a particular temperature is interpreted as the average energy of those particles. So when you say 7eV corresponds to 81121 K, it means that in a many particle system with such a temperature, the average energy of particles is 7eV. Some particles have much more energy and some much less.
 
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Shyan said:
Temperature is soemthing which can be defined for only many particle systems, you need to have at least a few hundread particles, if not more!
Then, the energy equivalent to a particular temperature is interpreted as the average energy of those particles. So when you say 7eV corresponds to 81121 K, it means that in a many particle system with such a temperature, the average energy of particles is 7eV. Some particles have much more energy and some much less.

Ah cool, does this have to do with the mean of a Boltzmann distribution? This would mean 7eV being a vibrational energy?
 
Questions554 said:
Ah cool, does this have to do with the mean of a Boltzmann distribution? This would mean 7eV being a vibrational energy?
Yeah, Boltzmann distribution tells you what fraction of the particles have a particular energy.
But all the energy doesn't have to be vibrational. It depends on the system. You may have a monatomic gas which can only have translational degrees of freedom. Or you may have something like a water molecule which can rotate around several axis and also has some vibrational degrees of freedom too. Of course the translational degrees of freedom are still present.
 
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Shyan said:
Yeah, Boltzmann distribution tells you what fraction of the particles have a particular energy.
But all the energy doesn't have to be vibrational. It depends on the system. You may have a monatomic gas which can only have translational degrees of freedom. Or you may have something like a water molecule which can rotate around several axis and also has some vibrational degrees of freedom too. Of course the translational degrees of freedom are still present.

Ah gotya, but it's still kinetic as opposed to electric which is probably making all the difference. Very cool, thanks man.
 

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