A heavy nucleus X of mass number 240 and binding energy per nucleon 7

cbse
nuclei

#1

A heavy nucleus X of mass number 240 and binding energy per nucleon 7.6 MeV is splitted, into two fragments Y and Z of mass numbers 110 and 130. The binding energy of nucleons in Y and Z is 8.5 MeV per nucleon. Calculate the energy released per fission in MeV.


#2

In these type of questions, we have to keep in mind about the difference of mass involved between output and input. Energy will be involved accordingly. Energy released per fission =
(110+ 130)x 8.5 MeV-240x7.6 MeV = 240 x (8.5 - 7.6) MeV = 240 x 0.9 = 216 MeV