# . Carry out the rudimentary design of a small modular nuclear reactor that has a net power output… 1 answer below »

. Carry out the rudimentary design of a small modular nuclear reactor that has a net power output of 100MW. The reactor is based on a Rankine cycle where steam is expanded in a turbine from 12.5 MPa and 350 celsius to 5.0 kPa. Assume that the generator is 98% efficient, the actual cycle echieves 90% of the efficiency of the ideal cycle, and that 90% of the thermal energy released in the nuclear reactions is transferred to the working fluid.

(a) If the reactor uses enriched uranium fuel rods that contain 3 wt% U-235, at what rate(kg/yr) are fuel rods consumed? The energy content of a fuel rod is 69.8 TJ per kg U-235. Assume the plant operates at its full rated output all year (i.e., 100% capacity factor).

(b) What equivalent rate (kg/yr) of coal combustion would be required to achieve the same power output, for the same plant operating conditions and efficiencies as described above, if the coal fed to the plant's boiler has a fuel heating value of 33,400 kJ/kg coal?