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Question: What is the energy released in the fission reaction \({ } _ { 92 } ^ { 236 } \mathrm { U } \rightar...

What is the energy released in the fission reaction

92236U46117X+46117Y+201n{ } _ { 92 } ^ { 236 } \mathrm { U } \rightarrow { } _ { 46 } ^ { 117 } \mathrm { X } + { } _ { 46 } ^ { 117 } \mathrm { Y } + 2 { } _ { 0 } ^ { 1 } \mathrm { n }

given that the binding energy per nucleon of X and Y is 8.5 MeV and that of 92236U{}_{92}^{236}U is 7.6 MeV?

A

20 MeV

B

180 MeV

C

200 MeV

D

2000 MeV

Answer

200 MeV

Explanation

Solution

E = B. E.Y + B.E.X – B.E.U = 2[117 × 8.5] – 236 × 7.6 = 200 MeV (apprx.)