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?

Binding energy:

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

$\boxed{\mathbf{BE}\mathbf{=}\mathbf{[}\mathit{Z}{\mathit{M}}_{\mathbf{p}}\mathbf{+}\mathit{N}{\mathit{M}}_{\mathbf{n}}\mathbf{-}{\mathit{M}}_{\mathbf{atom}}\mathbf{]}{\mathit{c}}^{\mathbf{2}}}$

(a)

m_12C = 12 u

m_p = 1.00783 u

m_n = 1.00866 u

1 u = 931.49 MeV/c²

Z = 6

N = 6

BE_12C = [6(1.00783 u) + 6(.00866 u) - 12 u]c² =0.09894 u•c² (931.49 (MeV/c²)/1 u) = 92.162 MeV