Chapter 24, Problem 24.137P

Interpretation Introduction

Interpretation:

Energy equivalent of a mass difference of $1amu$ has to be calculated $inMeV$.

Concept Introduction:

Nuclear binding energy: It is the energy that requires for the breaking one mole of nuclei of an element to its individual nucleons.

  $\text{Nucleus + nuclear binding energy }\underset{}{\to }\text{ nucleons}$

It can be calculated using the given formula,

  $\begin{array}{l}\Delta \text{E = }\Delta {\text{mc}}^2\\ \\ where,\\ \Delta \text{m = Mass Difference}\\ c=\text{ Speed of light}\end{array}$

The difference between mass of an atom and the sum of the masses of its proton and neutron is called Mass difference.

Unit conversion:

  $\begin{array}{l}1{\text{ MeV = 10}}^6\text{ eV = }1.602\times {10}^{-19}\text{ J}\\ \\ \text{1 amu = 1}\text{.66054}\times {\text{10}}^{-27}\text{ kg}\end{array}$