Find the binding energy per nucleon of if its atomic mass is 196.96 u.
, here X = element
A = Mass Number[No. of protons + neutrons]
Z = Atomic Number [No. of protons]
Therefore, Number of neutrons(N)= A – Z
Now coming to the problem,
means that A = 197 and Z = 79
N = A – Z = 197 – 79 = 118
Binding energy , mp = mass of proton
mn= mass of neutron
M = Atomic Mass
c2 = (Speed of light)2
= 931.5 MeV/u
Number of nucleons = No. of protons + neutrons = A = 197
Binding energy per nucleon
Hence, the binding energy per nucleon = 7.741