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Chemistry Forums for Students => Physical Chemistry Forum => Topic started by: gregpawin on April 30, 2004, 10:19:56 PM

Title: Planck's Blackbody Equation and Stefan's Law
Post by: gregpawin on April 30, 2004, 10:19:56 PM
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:
(https://www.chemicalforums.com/proxy.php?request=http%3A%2F%2Fwww.gregpawin.chemicalforums.com%2FPlancksblackeq.gif&hash=2cf761ab198ea7f2d09a6b900529c1aa)
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.
Title: Re:Planck's Blackbody Equation and Stefan's Law
Post by: Mitch on April 30, 2004, 10:31:04 PM
I remember solving this along time ago?
Title: Re:Planck's Blackbody Equation and Stefan's Law
Post by: gregpawin on April 30, 2004, 10:34:55 PM
Yes, you did... its included with most texts introducing quantum mechanics.