Suppose that two plates (thickness t=0.027 m and Area A=1.2 m^2 for each plate) are mated together. The thermal conductivity of the first plate is that of common brick (k=0.72 W/m*K), while the second plate is made of hard rubber (k=0.15 W/m*K). The temperature difference between the left-hand surface of the first plate and the right hand surface of the second plate is 8.5 C.
(a) Calculate the rate of heat transfer through the plates.
(b) What is the temperature at the point where the two plates are in contact?
(c) What is the temperature at a point that is 0.012 m from the left-hand face of the first plate?