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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: e_total=a*s*T⁴ where e_total 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=18a093b1457de172f096d20a8d26527b8a9f4f14)
Where C₁ is 8*pi*c*h and C₂ is h*c/k_b
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.