PLEASE SOLVE E, F, AND G

Problem: A 5cm diameter steam pipe, made of steel, at 200C, is losing heat to its surrounding air ( h=3.0 m2W) at 20C. You have been asked to add an insulation layer on this pipe to reduce the heat loss from this pipe. Steel properties: cp=0.46KgCKJk=19mCW=7865m3Kg Insulation properties: cp=0.816KgCCKJk=0.17mCW=470m3Kg (a) Use the Newton's law of cooling and calculate the heat loss from this pipe to its surrounding ( 2 pts.) (b) You decided to add a 2cm thick asbestos layer with [k=0.17m.CCW] around the pipe, calculate the heat loss from this pipe to its surrounding ( 3 pts.) (c) Do part b using 5cm thickness for asbestos layer and calculate the heat loss from this pipe to its surrounding ( 3 pts.) (d) Compare the values for the calculated heat loss in (a), (b), and (c) and explain clearly why adding the insulation layer does not necessarily result in the expected outcome. (3 pts.) (e) Using the resistance analogy and knowing that the resistance for convection is ( Rconvection=hAo1 ), derive the following equation for heat loss per unit length of the tube: (4 pts.) Lq=kinsulationlnriro+roh12(TwT)=[mW] (f) Find out an expression for the critical outer radius (rc) of the insulation layer: ( 8 pts.) ro>rc Heat loss will be decreased ro