Superheated steam at an average temperature 200°c is transported through a steel pipe (k= 50 w/m ∙ k, d0 = 8.0 cm, di =6.0 cm, and l= 20.0 m). the pipe is insulated with a 4-cm thick layer of gypsum plaster (k =0.5 w/m ∙ k). the insulated pipe is placed horizontally inside a warehouse where the average air temperature is 10°c. the steam and the air heat transfer coefficients are estimated to be 800 and 200 w/m2∙ k, respectively. calculate (a) the daily rate of heat transfer from the superheated steam, and (b) the temperature on the outside surface of the gypsum plaster insulation.