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) |
|
|