# Problem: Calculate the average binding energy per nucleon of 56:26 Fe expressed in MeV/nucleon.

###### FREE Expert Solution

Binding energy:

$\overline{){{\mathbf{E}}}_{{\mathbf{B}}}{\mathbf{=}}{\mathbf{∆}}{\mathbf{m}}{{\mathbf{c}}}^{{\mathbf{2}}}}$

The mass defect Δm:

$\overline{){\mathbf{∆}}{\mathbf{m}}{\mathbf{=}}{\mathbf{\left[}}{\mathbf{Z}}{{\mathbf{m}}}_{{\mathbf{p}}}{\mathbf{+}}{\mathbf{\left(}}{\mathbf{A}}{\mathbf{-}}{\mathbf{Z}}{\mathbf{\right)}}{{\mathbf{m}}}_{{\mathbf{n}}}{\mathbf{\right]}}{\mathbf{-}}{\mathbf{\left[}}{\mathbf{M}}{\mathbf{\right]}}}$

For iron 56:

Δm = (26)(1.00783u) + (56 - 26)(1.00867u) - 55.93493u = 0.52875u

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###### Problem Details

Calculate the average binding energy per nucleon of 56:26 Fe expressed in MeV/nucleon.