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A nuclear power plant does useful work generating electric energy at a rate of 4

ID: 1478350 • Letter: A

Question

A nuclear power plant does useful work generating electric energy at a rate of 470 MW . The energy transfer rate to the electric generator from the high-temperature nuclear fuel (the hot reservoir) is 1100 MW .

Part A

Determine the efficiency of the power plant.

Express your answer using two significant figures.

e =

Part B

Determine the rate at which the working substance in the plant transfers energy through heating to the cold water (the cool reservoir).

Express your answer using two significant figures.

P_Sub to Cold= MW

e =

Part B

Determine the rate at which the working substance in the plant transfers energy through heating to the cold water (the cool reservoir).

Express your answer using two significant figures.

P_Sub to Cold= MW

Explanation / Answer

W = Pw/t = 470MW/1s = 470MJ

QH = PH/t  = 1100 MW/1s = 1100MJ

a) e  = W/QH = 470MJ/1100MJ = 0.43

b) e  = 1 - QL/QH    

0.43 = 1- QL/1100MJ       => QL = 627MJ

Pcold = QL /t =627MJ /1s = 627MW

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