# Problem: A. Calculate (in MeV) the binding energy per nucleon for 12C.B. Calculate (in MeV) the binding energy per nucleon for 13C.C. Which is more tightly bound?

###### FREE Expert Solution

Binding energy:

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

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

(a)

m12C = 12 u

mp = 1.00783 u

mn = 1.00866 u

1 u = 931.49 MeV/c2

Z = 6

N = 6

BE12C = [6(1.00783 u) + 6(.00866 u) - 12 u]c2 =0.09894 u•c2 (931.49 (MeV/c2)/1 u) = 92.162 MeV

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###### Problem Details

A. Calculate (in MeV) the binding energy per nucleon for 12C.

B. Calculate (in MeV) the binding energy per nucleon for 13C.

C. Which is more tightly bound?