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Consider the fission .(92)U^(238) by fas...

Consider the fission `._(92)U^(238)` by fast neutrons. In one fission event, no neutrons are emitted and the final stable and products, after the beta decay of the primary fragments are `._(58)Ce^(140)` and `._(44)Ru^(99)`. Calculate Q for this fission process, The relevant atomic and particle masses are:
`m(._(92)U^(238))=238.05079u, m(._(58)Ce^(140))=139.90543 u, m(._(34)Ru^(99))=98.90594 u`

Text Solution

Verified by Experts

For the fission
`""_(92)U^(238) + ""_(0)n^(1) to ""_(58)Ce^(100) + ""_(44)Ru^(99) +Q`
`Q=[m(""_(92)U^(238)) + m_(n)-m(""_(58)Ce^(140))-m(""_(44)Ru^(99))]c^(2)`
`=(238.05079 + 1.00867 - 139.90543-98.90594)u xx c^(2)`
`=(239.05946 -238.81137)u xx c^(2)`
`therefore Q=(231.1)` MeV
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