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Q.

Assuming that about 200 MeV of energy is released per fission ofU 235 92  nuclei, then the mass of U235 consumed per per day in a fission reactor of power 1 megawatt will be approximately

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a

10-2 g

b

100 g

c

10,000 g

d

1 g

answer is B.

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Detailed Solution

Power of fission reactor, 

P=106watt= 106 joule/sec 

Time =t = 1 day = 24 X 36 x 102 sec

Energy produced , U = Pt

or   U =106 x 24 x 36 x 102     =24 x 36 x 108 joule

Energy released per fission of U235

=200 MeV =32 x 10-12 J

Number of U235  atoms used

=24 x 36 x 10832 x 10-12=27 x 1020 Mass of 6 x 1023 atoms of U235=235g

Mass of 27 x 1020 atoms of U235 =2356 x 102327 x 1020 =1.058 g=1 g

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