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**1. The problem statement, all variables and given/known data**

Derive an expression for the temperature of an ideal blackbody so that its radiated light at the peak intensity wavelength has exactly enough energy to excite the ground state to fourth excited state.

**2. Relevant equations**

I = σ*T

^{4}

λ

_{m}*T = 2.9 * 10

^{-3}m * K

E = hf = hc/λ

**3. The attempt at a solution**

Well, the peak intensity wavelength is at λ

_{m}= 2.9*10

^{-3}/ T.

I'm not sure what to do with the energy levels... the energy difference between levels is hf... do I use that Rydberg formula with n's?

I've got bits and pieces of information but I can't pull it all together. Could someone guide me in the right direction? Thanks!