nuclear fission

Question

In a nuclear fission reaction, if the binding energy per nucleon increases from 7.6 MeV to 8.5 MeV, and 200 nucleons are involved, what is the energy released?

RankGuru · Accepted Answer

1. **Concept**: Energy released is the difference between final total binding energy and initial total binding energy.
2. **Initial Energy**: $200 	ext{ nucleons} 	imes 7.6 	ext{ MeV/nucleon} = 1520 	ext{ MeV}$.
3. **Final Energy**: $200 	ext{ nucleons} 	imes 8.5 	ext{ MeV/nucleon} = 1700 	ext{ MeV}$.
4. **Calculation**:
   - $Energy released = 1700 - 1520 = 180 	ext{ MeV}$.
5. **Shortcut**: $Amount = nucleons 	imes \Delta BE/nucleon = 200 	imes (8.5 - 7.6) = 200 	imes 0.9 = 180 	ext{ MeV}$.

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nuclear fission

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