Problem: When a nucleus of 235U undergoes fission, it breaks into two smaller, more tightly bound fragments.1) Calculate the binding energy per nucleon for 235U? 2) Calculate the binding energy per nucleon for the fission product 137Cs?

FREE Expert Solution

Binding energy:

$\overline{){\mathbf{B}}{\mathbf{E}}{\mathbf{=}}{\mathbf{\left(}}{\mathbf{N}}{\mathbf{m}}{\mathbf{n}}{\mathbf{+}}{\mathbf{Z}}{\mathbf{m}}{\mathbf{H}}{\mathbf{-}}{{\mathbf{m}}}_{\mathbf{a}\mathbf{t}\mathbf{o}\mathbf{m}}{\mathbf{\right)}}{\mathbf{\left(}}{\mathbf{931}}{\mathbf{.}}{\mathbf{49}}\frac{\mathbf{M}\mathbf{e}\mathbf{V}}{\mathbf{u}}{\mathbf{\right)}}}$

1)

Z = 92

A = 235

Number of Neutrons  = 143

Mass of neutron = 1.0083 u

Mass of proton = 1.00783 u

Atomic mass = 235 u

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Problem Details

When a nucleus of 235U undergoes fission, it breaks into two smaller, more tightly bound fragments.

1) Calculate the binding energy per nucleon for 235U?

2) Calculate the binding energy per nucleon for the fission product 137Cs?