Question #280394

A nuclear reactor generates 3000MW of heat. The heat is transferred in a heat exchanger of energy transfer efficiency 75% into steam which is expanded in a turbine in order to produce a power output. The steam is condensed in a condenser, releasing 1800MW of heat, and pumped back through the heat exchanger by a feed pump which requires 3% of the power output from the turbine. Determine

A) The net power output from the plant

B) The power output from the turbine

C)The overall thermal efficiency of the plant



Expert's answer

A) The net power output from the plant:


Po=1800(10.03)=1746 MW.P_o=1800·(1-0.03)=1746\text{ MW}.


B) The power output from the turbine:


Pot=30000.75=2250 MW.P_{ot}=3000·0.75=2250\text{ MW}.

C)The overall thermal efficiency of the plant:


η=1746/3000=0.58.\eta=1746/3000=0.58.


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