# Problem: (a) Calculate (in MeV) the total binding energy for 40K. Express your answer using four significant figures.(b) Calculate (in MeV) the binding energy per nucleon for 40K. Express your answer using three significant figures.

###### FREE Expert Solution

Mass defect:

$\overline{){\mathbf{∆}}{\mathbf{m}}{\mathbf{=}}{{\mathbf{m}}}_{{\mathbf{p}}}{\mathbf{+}}{{\mathbf{m}}}_{{\mathbf{e}}}{\mathbf{+}}{{\mathbf{m}}}_{{\mathbf{n}}}{\mathbf{-}}{{\mathbf{m}}}_{\mathbf{a}\mathbf{t}\mathbf{o}\mathbf{m}}}$

Binding energy:

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

Mass of proton   = 1.007277 amu

Mass of electron = 0.0005486 amu

Mass of neutron = 1.008665 amu

1 amu = 931.5 MeV/c2

(a)

Δm = (19 × 1.007277 + 19 × 0.0005486 + 21 × 1.008665) - 39.963 = 0.3686514 amu

###### Problem Details

(a) Calculate (in MeV) the total binding energy for 40K. Express your answer using four significant figures.

(b) Calculate (in MeV) the binding energy per nucleon for 40K. Express your answer using three significant figures.