Chapter 25, Problem 24PS

Interpretation Introduction

Interpretation:

Binding energy per nucleon of $P$ for the formation of ${}^{30}P$ and ${}^{31}P$ has to be calculated.

Concept introduction:

Binding energy is the energy required to separate the nucleus of an atom into proton and neutron. Binding energy is given by ${\text{E}}_{\text{b}}{\text{=Δm×(c)}}^{\text{2}}$, where $\text{Δm}$ is the mass defect and $\text{c}$ is the velocity of light ${\text{=3×10}}^{\text{8}}{\text{m/sec}}^{\text{-1}}$

Mass defect is the sum of the masses of the individual nucleons that form an atomic nucleus and the mass of the nucleus.

Binding energy per nucleon $=\frac{Totalb\mathrm{in}dingenergyofnucleus}{Numberofnucleonsinthenucleus}$