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



1
Expert's answer
2021-12-19T17:06:02-0500

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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