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Planck's Blackbody Equation and Stefan's Law

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gregpawin:
Since there hasn't been a question here in a while, I'll ask a common beginner's quantum question:

From Planck's Blackbody Radiation Equation, one can derive Stefan's Law which is: etotal=a*s*T4 where etotal is the energy per unit area, s is a constant: 5.67X10^-8 W*m-2*K-4, and a is a coefficient that equals one when dealing with an ideal blackbody.  

Using:

Where C1 is 8*pi*c*h and C2 is h*c/kb
Show the relationship between temperature and lambda max.  Find the constant s discussed above using this relationship.

I'll be posting more hints if anyone tries.

Mitch:
I remember solving this along time ago?

gregpawin:
Yes, you did... its included with most texts introducing quantum mechanics.

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