Do Incandescent Solids Follow Stefan's Law?

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All incandescent solids are believed to follow the fourth power law of temperature, but the constants involved differ among materials. The discussion highlights that while Stefan's constant (σ) remains constant across all temperatures and bodies, the emissivity (ε) can vary significantly with temperature for a specific object. This variation in emissivity complicates the practical application of the law, as the relationship I = εσT^4 may become less meaningful if ε changes too much with temperature. The consensus is that while the fourth power law holds, the practical implications depend heavily on the emissivity of the material in question. Understanding these nuances is crucial for accurate thermal analysis.
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Do all incandescent solids obey the fourth power law of temperature?

I think they all obey \ T^4
But the constants are different for them.

Agreed?
 
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Are you saying that for a particular object, the "constant" remains constant for T=0 to infinity? What logical basis have you for such a conjecture? (Of course, it may not be a conjecture, may be an actual law -- that's what we're discussing here.)
 
Stefan's constant \sigma has the same value for all temperatures and all bodies.

But the actual law is \ I= \epsilon\sigma\ T^4

where \epsilon is the emissivity.

I think \sigma is constant for all but \epsilon varies.
 
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You are correct: sigma is a universal constant.

For the same body, the emissivity may vary with temperature. So, I = e*sigma*T^4 actually becomes meaningless practically if e varies too much with T for a given body.
 
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