Q.3 A pure iron rod initially at uniform temperature 25C is placed into a reactor. The temperature of the reactor fluid is maintained at 300C. The radius of the cylindrical rod is 15cm. The convection coefficient between the reactor fluid and the rod is 120W/m2K. [12 Marks] a) Can this system be considered as a lumped system? Why? b) Determine the temperature of the rod after 25min (i) at the surface and (ii) at the centre. c) Determine the total amount of heat transferred per unit length of the rod in the duration of 25min. Take the properties of iron: k=40W/mK,=7,897kg/m3,cp=452J/kgK