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Question
Find the binding energy per nucleon of 235U based on the information given below.
| Mass(u) | |
| mass of neutral `""_92^235"U"` | 235.0439 |
| mass of a proton | 1.0073 |
| mass of a neutron | 1.0087 |
Solution
mass of protons (mp) = 92 × 1.0073u = 92.6716u
mass of neutrons (mn) = 143 × 1.0087u = 144.2441u
Total mass (mp + mn) = 236.9157u
mass defect = Δm = 236.9157u – 235.0439u
=1·8718u
Binding energy = Δm × 931.5
MeV = 1.8718 × 931.5
MeV = 1743.6 MeV
Binding energy per nucleon = `(1743.6 "MeV")/ 235`
= 7.42 MeV
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