Derive Stefan-Boltzmann law from Wien’s law.

[Tirain]

Homework Statement

Derive Stefan-Boltzmann law from Wien’s law

Hint: you can use (without proof) R(T) = -∞∫∞ R(λ,T)dλ , ρ(λ,T)=(4/c)*R(λ,T)

Homework Equations

wien's law: p(λ,T) = f(λ,T)/^5
Stefan's law : R(T) = σT^4

The Attempt at a Solution

Honestly I am having trouble just starting this problem. I know I would be able to work it out if I knew where to begin.

 

[DrClaude]

There is another currectly active thread on that same question https://www.physicsforums.com/showthread.php?t=769373

 

[Tirain]

Oh thanks!

 

[nrqed]

Homework Statement

Derive Stefan-Boltzmann law from Wien’s law

Hint: you can use (without proof) R(T) = -∞∫∞ R(λ,T)dλ , ρ(λ,T)=(4/c)*R(λ,T)

Homework Equations

wien's law: p(λ,T) = f(λ,T)/^5
Stefan's law : R(T) = σT^4

The Attempt at a Solution

Honestly I am having trouble just starting this problem. I know I would be able to work it out if I knew where to begin.

Well, the first step is: what is the function $f(\lambda,T)$ ?