Newton's law of cooling is a special case of

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KollegeApply · Accepted Answer

Stefan's law From Stefan-Boltzman's law, the energy of the thermal radiation emitted per unit time by a blackbody of surface area A is given by, u = σAT^4 Where σ is Stefan's constant. Suppose a body at temperature T is kept in a room at temperature T0. According to Stefan's law, energy of the thermal radiation emitted by the body per unit time is u = eσAT^4 Here, e is the emissivity of the body. The energy absorbed per unit time by the body is (due to the radiation emitted by the walls of the room Δu = eσAT_0^4 Thus, the net loss of thermal energy per unit time is Δu = eσA ( T^4 - T_0^4 ) Newton law of cooling is given by (dT)/(dt) = -bA( T - T_0 ) This can be obtained from equation (i) by considering the temperature difference to be small and doing the binomial expansion.

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