(a) Energy is required to separate a nucleus into its constituent nucleons, as t
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Question
(a) Energy is required to separate a nucleus into its constituent nucleons, as the drawing indicates; this energy is the total binding energy of the nucleus. In a similar way one can speak of the energy that binds a single nucleon to the remainder of the nucleus. For example, separating nitrogen 7N15into 7N14and a neutron takes energy equal to the binding energy of the neutron. Find the energy (in MeV) that binds the neutron to the 7N15nucleus by considering the mass of 7N14(atomic mass = 14.003074 u) and the mass of 0n1(atomic mass = 1.008665 u), as compared to the mass of 7N15 (atomic mass = 15.000108 u). (b) Similarly, one can speak of the energy that binds a single proton to the 7N15nucleus. Following the procedure outlined in part (a), determine the energy (in MeV) that binds the proton(atomic mass = 1.007825 u) to the 7N15nucleus. (c) Which nucleon is more tightly bound, the neutron or the proton?
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Explanation / Answer
Binding energies are usually expressed in MeV, but mass defect is usually expressed in amu. T o convert from one to the other multiply by 931.5016 MeV/amu
a) 931.5016 MeV/amu x (15.000108 - (14.003074 + 1.008665))= -10.83429511 Mev
b) 931.5016 MeV/amu x (15.000108 - (14.003242 + 1.007825))= -10.21410134 NOTE: 14.003242 is
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