Superheated steam at 575 degrees Celsius is routed from a boiler to the turbine of an electric power plant through steel tubes (k = 35 W/m*K) of 300 mm inner diameter and 30 mm wall thickness. To reduce heat loss to the surroundings and to maintain a safe-to-touch outer surface temperature, a layer of calcium silicate insulation (k = 0.10 W/m*K) is applied to the tubes, while degredation of the insulation is reduced by wrapping it in a thin sheet of aluminum having an emissivity of Superheated steam at 575 degrees Celsius is routed . The air and wall temperatures of the power plant are 27 degrees Celsius.(a) Assuming that the inner surface temperature of a steel tube corresponds to that of the steam and an outer convection coefficient of 6 W/m2*K for the aluminum sheet, what is the minimum insulation thickness needed to insure that the temperature of the aluminum does not exceed 50 degrees Celsius? What is the corresponding heat loss per meter of tube length?