Question: Consider the heat transfer between the conditioned space of a room with four walls and the outdoors.
(a) Find the transfer function corresponding to the indoor and outdoor temperatures i1 and i2 assuming that i2 > i1.
(b) Determine i1 and plot it as a function of time when i2 = 40°C. Known also are the following data for the wall: height h = 4 m, width w = 10 m, length l = 0.2 m, thermal conductivity k = 0.04 W/m-C; and for the air in the room space, mass density t = 1.1 kg/m3 , constant-pressure specific heat cp = 1100 J/kg-C and i1(0) = 20°C.