When a nucleus of 235u undergoes fission, it breaks into two smaller, more tightly bound fragments. The binding energy per nucleon for 235-U is 7.6 MeV and 137-Cs is 8.39 MeV.
In experimental physics, nuclear binding energy is the minimal amount of energy needed to separate an atom's nucleus into its component protons and neutrons, also known as nucleons.
The following equation provides the binding energy of a nucleus:
BE = Δmc² in which;
BE = Energy bound
Mass defect = m.
c = the speed of light = 931.49 MeV/u
For 235U:
A = 235
Δm = 1.9150664
BE = 1.9150664 x 931.49 MeV/u.
= BE = 1783.8648 MeV
The formula of the nucleon's binding energy is BE/A
= BE/A = 235 x 1738.648 MeV
= BE/A = 7.6 MeV
The binding energy for 137-Cs will be:
Mass defect m = 1.23383 unit
= BE=1.123383 u x 31.49 MeV/u = 1149.3003 MeV
Additionally, the binding energy per nucleon, BE/A =
= A = 137
= BE/A = 137 x 1149.3003 MeV
= BE/A = 8.39 MeV
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