Q.13.5 A given coin has a mass of . Calculate the nuclear energy that would be required to separate all the neutrons and protons from each other. For simplicity assume that the coin is entirely made of atoms (of mass ).
Mass of the coin is w = 3g
Total number of Cu atoms in the coin is n
n=2.8711022
mH = 1.007825 u
mn = 1.008665 u
Atomic mass of is m=62.92960 u
Mass defect m=(63-29)mn+29mH - m
m=341.008665+291.007825 - 62.92960
m=0.591935 u
Now 1u is equivalent to 931.5 MeV
Eb=0.591935931.5
Eb=551.38745 MeV
Therefore binding energy of a nucleus is 551.38745 MeV.
The nuclear energy that would be required to separate all the neutrons and protons from each other is
nEb=2.8711022551.38745
=1.58321025 MeV
=1.583210251.610-19106J
=2.5331109 kJ