in a nuclear reactor 253-U undergoes fission liberating 200 Mev of energy the reaction has 10% efficiency and produces - Physics - Nuclei

Question

in a nuclear reactor 253-U undergoes fission liberating 200 Mev
of energy the reaction has 10% efficiency and produces 1000 MW
power if the reactor has to work for 10 years, find the total mass
of uranium required

Manoj Singh · Accepted Answer

Dear student

efficiency of reactor=power outputpower inputso power input=1000×10610100=1010 Wequivalent enrgy to this power=1010×10×365×24×60×60 J=3
1536×1018JNow one fission release =200 MeV=200×106×1
6×10-19 Jso number of fission=3
1536×1018200×106×1 6×10-19=9
85×1028so number of U235 atoms=9
85×1028avogadro number=6
02×1026 per kgso 9
85×1028 atoms contain mass=235×9
85×10286 02×1026=38451 kg

in a nuclear reactor 253-U undergoes fission liberating 200 Mev of energy. the reaction has 10% efficiency and produces 1000 MW power.if the reactor has to work for 10 years, find the total mass of uranium required