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:

$BE = ∆ m \cdot c^{2}$

$BE = [Z M_{p} + N M_{n} - M_{atom}] c^{2}$

(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

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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?

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