The hot water pipe leaving a residential water heater is not insulated. the water flowing inside is maintained at 49 °c and has a convection coefficient of 234 w/m2 *k. the inside diameter of the copper (400 w/m*k) pipe is 0.745 inches; the wall thickness is 0.065 inches. the temperature and the convection coefficient of the air surrounding the pipe are 15 °c and 16 w/m2 *k respectively. determine the heat loss per unit length of uninsulated pipe, and the temperature of the outer surface. determine the heat loss and the outermost surface temperature for the same conditions with the pipe insulated using 3/8"-thick insulation whose thermal conductivity is 0.034 w/m*k. do the surface temperatures of the copper pipe change with the addition of insulation?