Chapter 10, Problem 10C.8E

(a)

Interpretation Introduction

Interpretation:

The amount of energy released in each decay has to be given.

Concept Introduction:

Nuclear binding energy and the mass defect:

Nuclear binding energy is the minimum energy that would be required to disassemble the nucleus of an atom into its component parts.  These component parts are neutrons and protons which are collectively called nucleons.  The mass of an atomic nucleus is less than the sum of the individual masses of the free constituent protons and neutrons according to Einstein’s equation ${\text{E=mc}}^{\text{2}}$.  The missing mass is known as the mass defect and represents the energy that was released when the nucleus was formed.

  $\Delta \text{m=mass of the products -mass of the reactants}$

  $\text{(ΔE)}$=$-\Delta {\text{m×c}}^{\text{2}}$

Where $\text{ΔE}$ is the change in energy.

  $\text{Δm}$ is the change in mass.

c is the velocity of light is ${\text{3×10}}^{\text{8}}\text{m}{\text{s}}^{\text{-1}}.$

(b)

Interpretation Introduction

Interpretation:

The amount of energy released has to be given.

Concept Introduction:

Refer to part (a).