Does a Blackbody at 200K Emit Twice as Much Radiation?

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Homework Help Overview

The discussion revolves around the question of whether a blackbody at 200K emits twice as much total radiation as it does at 100K. The subject area is thermodynamics, specifically focusing on blackbody radiation and its dependence on temperature.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to reason that doubling the temperature would lead to doubling the emitted radiation based on the energy of photons. Some participants suggest that there is a relevant equation relating radiated power to temperature, indicating a need for clarification on how temperature affects radiation.

Discussion Status

The discussion is ongoing, with participants exploring different equations and concepts related to blackbody radiation. Some guidance has been offered regarding the existence of a specific equation that relates temperature to radiated power, but no consensus has been reached on the original poster's assumption.

Contextual Notes

Participants note that there may be missing equations in the original poster's notes, and they encourage checking textbooks for additional information. There is an indication that the relationship between temperature and radiation may involve a power law, but specifics are not provided.

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Homework Statement



Does a blackbody at 200K emit twice as much total radiation as when its temperature is 100K?

Homework Equations



N/A

The Attempt at a Solution



I'm not sure, but I think it is yes because if the temperature is doubled, then the energy of the photons will be doubled, therefore it will emit twice as much radiation. Is this correct?
 
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There is a well-known equation that relates radiated power to temperature of a blackbody. It is surely in you class notes or textbook.
 
the only equation in my notes with temperature in it is:
(wavelength) x temperature = 0.002898mK

i don't know how this relates to the question though
 
There should be another equation, involving radiated power. And temperature raised to some integer power. It probably has a Greek lowercase "sigma" in it as well.

If not in your notes, check the textbook.
 

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