**solar blackbody temperature**

**equations of energy balance (mathematics of climate change)?**

*1) Consider an atmosphere with N layers, which* everyone is totally transparent to sunlight, but acts as a perfect blackbody absorption regarding the infra-red. Suppose an albedo planetary and solar constant leading to an effective temperature radiative Te. a) Impairment of the balance equations of energy to the surface and the top of the atmosphere-. b) Show that the temperature of the atmosphere is given by th: T_i = {0.5 * (T_ (i +1) ^ 4 + T_ (i-1) ^ 4)} 0.25 ^ im using planetary albedo alpha sigma = S_0 solar constant = Stefan-Boltzmann constant = 5.67 x 10-8 W m-2 K-4, T_e = effective radiative temperature of I (1-alpha) * (S_0 / 4) = sigma * (T_e) ^ 4

See this link for answer to your problem: Good http://en.wikipedia.org/wiki/First_law_of_thermodynamics Good luck!