Answer to Question #114040 in Physics for daniel

Question

Calculate the mass defect and nuclear binding energy per nucleon of each of the nuclides
a.O-16(atomic mass=15.994915 amu)
b.Ni-58(atomic mass=57.935346 amu)
c.Xe-129(atomic mass=15.994915 amu)

Answer 1

a)

$$Z=8, N=A-Z=16-8=8$$

$$\Delta m=8(1.00783)+8(1.00866)-15.994915\\=0.137005\ amu$$

$$E=(0.137005)\frac{931.5}{16}=7.976\frac{MeV}{nucleon}$$

b)

$$Z=28, N=A-Z=58-28=30$$

$$\Delta m=28(1.00783)+30(1.00866)-57.935346 \\=0.534694\ amu$$

$$E=(0.534694)\frac{931.5}{58}=8.732\frac{MeV}{nucleon}$$

c)

$$Z=54, N=A-Z=129-54=75$$

$$\Delta m=54(1.00783)+75(1.00866)-128.904780\\=1.16754\ amu$$

$$E=(1.16754)\frac{931.5}{129}=8.431\frac{MeV}{nucleon}$$