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Numericals · Q31

Q.How much mass of 235U is required to undergo fission each day to provide 3000 MW of thermal power? Average energy per fission is 202.79 MeV.

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The total thermal energy needed per day is E=P×t=3000×106 W×86400 s=2.592×1014E=P\times t=3000\times10^6\text{ W}\times86400\text{ s}=2.592\times10^{14} J. Each fission releases 202.79202.79 MeV =202.79×1.602×10−13 J≈3.249×10−11=202.79\times1.602\times10^{-13}\text{ J}\approx3.249\times10^{-11} J. The number of fissions needed per day is Nfissions=EEfission=2.592×10143.249×10−11≈7.978×1024N_{fissions}=\frac{E}{E_{fission}}=\frac{2.592\times10^{14}}{3.249\times10^{-11}}\approx7.978\times10^{24}. Since each fission consumes one 235U^{235}U nucleus, the mass of 235U^{235}U requir …

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