Water at 80C is pumped through 100m of stainless steel pipe, k=16W/mK of inner and outer radius 47mm and 50mm respectively. The heat transfer coefficient due to water is 2000W/m2K. The outer surface of the pipe loses heat by convection to air at 20C and the heat transfer coefficient is 200W/m2K. (a) Calculate the heat rate through the pipe. (b) Calculate the heat rate through the pipe when a insulation layer (kins=0.1W/mK) of 50mm radial thickness is wrapped around it