Stefan’s law states that the rate of change of temperature of a body due to radiation of heat is

where T is the temperature of the body, T₀ is the temperature of the surrounding medium (both measured in K) and k is a constant. Show that the solution of this differential equation is

Show that, when the temperature difference between the body and its surroundings is small, Stefan’s law can be approximated by Newton’s law of cooling

and find α in terms of k and T₀.

Transcribed Image Text:

dT dt = -k(T - T)