A stainless steel pipe, thermal conductivity of k = 23 W/[mC ]), with a 5 cm inner diameter and wall thickness of 2 cm is being used to convey high pressure steam. The pipe is covered with a 5 cm layer of insulation (k = 0.09 W/[mC]). The inside steel surface temperature is 300 ^o C and the outside insulation surface temperature is 90 ^o C. Determine the rate of heat transfer per meter length of pipe. Should you be concerned about the integrity of the insulation if it has a melting temperature of 300 C.