Question #282926

Using the Weiszacker’s formula, calculate the binding energy per nucleon for 235

92 U and


its two fission products: 149

60 Nd and 86

32Ge.


1
Expert's answer
2022-01-19T12:40:19-0500

Write down the Weiszacker’s formula:


BE=avAasA2/3acZ(Z1)A1/3aa(A2Z)2A+ap1A1/2,B_E=a_vA−a_sA^{2/3}−a_c\frac{Z(Z−1)}{A^{1/3}}−a_a\frac{(A-2Z)^2}A+a_p\frac1{A^{1/2}},

av=15.8 MeVas=18.3 MeVac=0.71 MeVaa=23.2 MeVap=±11.2 MeVa_v=15.8\text{ MeV}\\ a_s=18.3\text{ MeV}\\ a_c=0.71\text{ MeV}\\ a_a=23.2\text{ MeV}\\ a_p=\pm11.2\text{ MeV}\\


Uranium-235: 1796 MeV.

149Nd: 132 MeV.

86Ge: 56 MeV.


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