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Find the energy (in MeV) that binds the neutron to the _7^14 text(N) nucleus by considering the mass of _7^13 text(N) (atomic mass = 13.005
Question
Find the energy (in MeV) that binds the neutron to the _7^14 text(N) nucleus by considering the mass of _7^13 text(N) (atomic mass = 13.005 738 u) and the mass of _1^0 text(n) (atomic mass = 1.008 665 u), as compared to the mass of _7^14 text(N) (atomic mass = 14.003 074 u).
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2021-07-24T03:47:59+00:00
2021-07-24T03:47:59+00:00 2 Answers
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Answer:
Binding energy = 10.55 MeV
Explanation:
The mass defect is;
Δm = 13.005738u + 1.008665u – 14.003074u = 0.011329u
In mass defect, a mass of 1 u is equivalent to an energy of 931.5 MeV.
Thus, the binding energy of the neutron in MeV will be;
0.011329 x 931.5 = 10.55 MeV
Answer:
Binding energy is 10.55 MeV
Explanation:
Binding energy is the minimum energy required to separate a particle into separate smaller parts
The mass defect (Δm) is given as:
Δm = (13.005738 u + 1.008665 u) – 14.003074 = 14.014403 – 14.003074 = 0.011329
Δm = 0.011329 u
Binding energy = Δm × (931.5 v / 1u)
Therefore: Binding energy = 0.011329 u × (931.5 MeV / 1u) = 10.55 MeV