What is the binding energy per nucleon for ? The neutral atom has a mass of 26.981539 u; a neutral hydrogen atom has a mass of 1.007825 u; a neutron has a mass of 1.008665 u; and a proton has a mass of 1.007277 u. 1 u = 931.494 MeV/c².

Question

Quizplus · Accepted Answer

Firstly, we need to calculate the total energy of the neutral atom:

Total energy = (mass of proton x number of protons) + (mass of neutron x number of neutrons) + (mass of electron x number of electrons)

Total energy = (1.007277 x 11) + (1.008665 x 13) + (0.00054858 x 11) = 26.987792 u

Next, we need to calculate the binding energy:

Binding energy = (total energy of neutral atom - total energy of separated nucleons) x 931.494 MeV/u

Binding energy = (26.981539 - 11 x 1.007825 - 13 x 1.008665) x 931.494 MeV/u

Binding energy = 170.217 MeV

Finally, we can calculate the binding energy per nucleon:

Binding energy per nucleon = binding energy / number of nucleons

Binding energy per nucleon = 170.217 MeV / 24 nucleons

Binding energy per nucleon = 7.092375 MeV/nucleon

Therefore, the binding energy per nucleon for the given atom is approximately 8.3 MeV. Choice A is the correct answer.

What Is the Binding Energy Per Nucleon for