Blackbody Radiation: Why Bodies Absorb & Radiate Heat

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SUMMARY

Blackbody radiation is a fundamental principle stating that a body emits and absorbs radiation at a given temperature and frequency in equal proportions. This concept, established by Kirchhoff, illustrates that if a body absorbs more radiation than it emits, it will heat up while its surroundings cool down, violating the second law of thermodynamics. The electromagnetic field's interaction with molecular vibrations allows bodies to radiate heat, following the Planck distribution rather than emitting across the entire spectrum of wavelengths.

PREREQUISITES
  • Understanding of Kirchhoff's law of thermal radiation
  • Familiarity with the second law of thermodynamics
  • Basic knowledge of electromagnetic radiation
  • Awareness of Planck's law and blackbody radiation concepts
NEXT STEPS
  • Research Kirchhoff's law of thermal radiation in detail
  • Study the second law of thermodynamics and its implications
  • Explore the Planck distribution and its application in blackbody radiation
  • Investigate the relationship between molecular vibrations and electromagnetic radiation
USEFUL FOR

Physicists, thermodynamics researchers, and students studying heat transfer and electromagnetic theory will benefit from this discussion.

Bassalisk
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In fact, we can be much more precise: a body emits radiation at a given temperature and frequency exactly as well as it absorbs the same radiation. This was proved by Kirchhoff: the essential point is that if we suppose a particular body can absorb better than it emits, then in a room full of objects all at the same temperature, it will absorb radiation from the other bodies better than it radiates energy back to them. This means it will get hotter, and the rest of the room will grow colder, contradicting the second law of thermodynamics. (We could use such a body to construct a heat engine extracting work as the room grows colder and colder!)

If I may dare to ask the question: WHY are bodies absorbing and radiating heat in same proportion?

I can't find the answer anywhere on the internet. And why are bodies radiating heat in the first place? And why whole spectrum of wavelengths?
 
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Bassalisk said:
If I may dare to ask the question: WHY are bodies absorbing and radiating heat in same proportion?

For the reason stated in the quote you supplied? If something is a net absorber or emitter of radiation, then it's gaining or losing energy relative its surroundings, meaning it's getting hotter or colder. As the quote says, something at the same temperature as its surroundings can't spontaneously heat up or cool down without violating the second law of thermodynamics.

I can't find the answer anywhere on the internet. And why are bodies radiating heat in the first place?

Because the electromagnetic field is coupled to all the other forms of energy in the system. A vibrating molecule can give off its vibrational energy as EM radiation, and absorb EM radiation as vibrational energy (or rotational or other degrees of freedom).

And why whole spectrum of wavelengths?

It's not the whole spectrum; it follows the Planck distribution, so the probability of very high energy radiation quickly becomes negligible.
 
Thanks, I understand now.
 

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