2. a A double-layered wall is made of copper and bronze. Cu plate has a thickness and thermal 7 conductivity of 21 cm and 232 W/mK, respectively. The bronze plate has a thickness and thermal conductivity of 16 cm and 16 W/mK, respectively. 60 % of the solid interfaces (Cu and bronze interface) is not in contact and maintain a gap of 0.2 cm because of the plate's surfaces roughness. This gap is open to air, which has thermal conductivity 0.031 W m/k. Temperature of the outer surface of copper is 450 C, and the temperature of the outer surface of bronze is 250 C. Determine (a) rate of heat transfer, (b) Contact resistance of the interface and (c) fall in temperature at the interface. (Note: Draw a schematic diagram of the problem statement)