Answer 4_11_3

What is the mass defect in atomic mass units (u) and in kilograms for the copper nucleus which has 63 nucleons, and a proton number of 29?  What is the binding energy in J and eV?  What is the binding energy per nucleon in eV?  The nuclear mass = 62.91367 u.     

 

Number of protons = 29; number of neutrons = 63 – 29 = 34. (P)

 

Mass of protons = 29 ´ 1.007276 = 29.211004 u (P)

 

Mass of neutrons = 34 ´ 1.008665 = 34.29461 u (P)

 

Total mass = 29.211004 u + 34.29461 u = 63.505614 u (P)

 

Mass defect = 63.505614 u – 62.91367 u = 0.591944 u (P)

 

Mass defect in kg = 0.591944 ´ 1.661 ´ 10-27 = 9.83218 ´ 10-28 kg (P)

 

Binding energy = mc2 = 9.83218 ´ 10-28 kg ´ (3 ´ 108 m/s)2 = 8.85 ´ 10-11 J (P)

 

Binding energy in eV = 8.85 ´ 10-11 J ¸ 1.6 ´ 10-19 J/eV = 5.53 ´ 108 eV (P)

 

Binding energy per nucleon =  5.53 ´ 108 eV ¸ 63 = 8.78 ´ 106 eV (P)

 

 

 

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