A Uranium-235 reactor is producing nuclear energy at a rate of 32,000kW How many nuclei of Uranium -235 is fissioned - Physics - Nuclei

Question

A Uranium-235 reactor is producing nuclear energy at a rate of
32,000kW How many nuclei of Uranium -235 is fissioned per second?
How much Uranium-235 would be consumed in 1000 hours?Assume an
average energy of 200Mev released per fission Take Avagadro's
number as 6*10^23 mol^-1

Ravi Gupta · Accepted Answer

Dear student,

Please find below the solution to your asked query

Average energy per fission = E= 200 Mev = 200×106×1
6×10-19Jtotal energy = 32000 Kw = 32000×1000 J per seondno
 of  uranium nuclei goes under fission per second =n = total energy per secondavergae energy per second n = 32000×1000200×106×1
6×10-19 = 0
1×1019 = 1018in 1000 hours no of uranium nuclei = N =1000×3600×1018mass of 1 mole of uranium = 235 gno of moles = total no nucleiavogadros no
=1000×3600×10186×1023 = 6mass of the uranium used = 6×235 =1410 g

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A Uranium-235 reactor is producing nuclear energy at a rate of 32,000kW.How many nuclei of Uranium -235 is fissioned per second? How much Uranium-235 would be consumed in 1000 hours?Assume an average energy of 200Mev released per fission.Take Avagadro's number as 6*10^23 mol^-1.