Show that the minimum energy needed to separate a proton from a nucleus with Z protons and N neutrons is
ΔE = (M_{z–1, N} +M_H –M_{Z, N}) c²

Where M_{Z, N} = mass of an atom with Z protons and N neutrons in the nucleus and M_H = mass of a hydrogen atom. This energy is known as proton-separation energy.

, X = element under consideration
[Note: Hydrogen has no neutrons in the nucleus]

Now from the above equation we can easily write the energy equation:

Hence

Question

, X = element under consideration

[Note: Hydrogen has no neutrons in the nucleus]

Now from the above equation we can easily write the energy equation:

Hence

Philoid · Accepted Answer

, X = element under consideration

[Note: Hydrogen has no neutrons in the nucleus]

Now from the above equation we can easily write the energy equation:

Hence