Question
Show that the minimum energy needed to separate a proton from a nucleus with $Z$ protons and $N$ neutrons is:
$\ce{\Delta\text{E}=(\text{M}_{\text{Z}-1,\text{N}}+\text{M}_{\text{H}}-\text{M}_{\text{Z,N}})\text{c}^2}$
where $\ce{M_{Z,N}}=$ 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.
$\ce{\Delta\text{E}=(\text{M}_{\text{Z}-1,\text{N}}+\text{M}_{\text{H}}-\text{M}_{\text{Z,N}})\text{c}^2}$
where $\ce{M_{Z,N}}=$ 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.
