Problem: The nuclear mass of 32S is 31.9633 amu. Calculate the binding energy per nucleon for 32S.

FREE Expert Solution

Binding energy:

$\overline{){\mathbf{BE}}{\mathbf{=}}{\mathbf{∆}}{\mathbf{m}}{\mathbf{·}}{{\mathbf{c}}}^{{\mathbf{2}}}}$

$\overline{){\mathbf{BE}}{\mathbf{=}}{\mathbf{\left[}}{\mathbit{Z}}{{\mathbit{M}}}_{{\mathbf{p}}}{\mathbf{+}}{\mathbit{N}}{{\mathbit{M}}}_{{\mathbf{n}}}{\mathbf{-}}{{\mathbit{M}}}_{\mathbf{a}\mathbf{t}\mathbf{o}\mathbf{m}}{\mathbf{\right]}}{{\mathbit{c}}}^{{\mathbf{2}}}}$

(a)

m32S = 31.9633 u

mp = 1.00783 u

mn = 1.00866 u

1 u = 931.49 MeV/c2

Z = 16

Problem Details

The nuclear mass of 32S is 31.9633 amu. Calculate the binding energy per nucleon for 32S.