Chapter 19, Problem 19.104CP

Interpretation Introduction

Interpretation:

This mass-defect is in form of energy and is responsible for binding the nucleons together.

$Bindingenergy=\Delta m{c}^2$

Concept introduction:

It is observed that the mass of a nucleus is always less than the mass of constituent (free) nucleons. This difference in mass is called as mass defect and is denoted as D_m.
If  $m_n$ is mass of a neutron;

$m_p$ is mass of a proton

$1amu=1.660540\times {10}^{-27}kg$

$\begin{array}{l}{m}_n =1.6747\times {10}^{–27} kg =1.00852amu\\ m_{p }=1.6725\times {10}^{–27} kg=1.00720amu\end{array}$

M (Z, A) = mass of bounded nucleus
Then,

$\Delta m=Z\times m_p +\left(A–Z\right)\times m_n –M\left(Z,A\right)$

Given:

Atomic mass

1. $Cr=49.94605u$
2. $Zn=63.92915u$

To determine:

To determine Mass defect in gram per mole and binding energy in MeV per nucleon and also determine which of the two nuclei is stable.