To reduce energy loss from a 6-m-long copper (k = 380 wm 'k! ) refrigerant line of 0.5 cm inside diameter and 0.6 cm outside diameter, a plumber recommends that you insulate the line with a 1 cm-thick layer of styrofoam insulation (k = 0.032 wm'k'). refrigerant fluid at -40°c flows inside the copper line with inside convective heat transfer coefficient of 500 wmk! the line is exposed to ambient air at 25°c with outside convective heat transfer coefficient of 5 wm k. a. plot the rate of heat loss from the line as a function of styrofoam thickness. b. would you accept the plumber's recommendation? justify your answer. c. specify the thickness of styrofoam insulation needed to reduce the heat loss from the bare refrigerant line by 15 percent. what is the overall heat transfer coefficient for the insulated refrigerant line? d. if the thickness of the insulation layer cannot exceed 1.0 cm due to space limitations, what is the maximum thermal conductivity allowed for the insulating material to be used in order to reduce energy loss?