In a nuclear reactor 235 U undergoes fission liberating 200 MeV of energy. The reactor has a 10% efficiency and produces 1000 MW power. If the reactor is to function for 10 years, find the total mass of uranium required.
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Sol. The reactor produces 1000 MW power or 
. The reactor is to function for 10 уг. Therefore, total energy which the reactor will supply in 10 yr is
But since the efficiency of the reactor is only 
, therefore actual energy needed is 10 times of it or 
. One uranium atom liberates 200 MeV of energy or 
or
of energy. So, number of uranium atoms needed are
or number of kg-moles of uranium needed are
Hence, total mass of uranium required is
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