In a particular reactor design, a triangular lattice with pitch of 1.2 cm is being used for the reactor. The core is being designed with an 8 mm diameter fuel pellet (uranium nitride, k = 21 W/(m·K)) and a 1 mm thick HT9 steel cladding (k = 18 W/(m·K)). The gap is characterized by a gap conductance of 1300 W/m2K. A choice must be made between designing a sodium-cooled (at 1000 K) or pressurized, water cooled (at 600 K) system. In either case, the flow speed would be 5 m/s and the maximum fuel (centerline) temperature must remain below 2600°C. Find: (a) The maximumlnear heat rate possible for a water-cooled design (in kW/m) (b) The maximum linear heat rate possible for a sodium-cooled design (in kW/m)