Chapter 24, Problem 24.83P

(a)

Interpretation Introduction

Interpretation:

Product formed by ${\beta }^{-}$ decaying and by electron capture of ${}^{80}Br$ has to be given.

Concept Introduction:

Nuclear reaction: A nuclear reaction in which a lighter nucleus fuses together into new stable nuclei or a heavier nucleus split into stable daughter nuclei with the release of large amount of energy.

Balancing nuclear reaction equation: The balanced nuclear reaction should conserve both mass number and atomic number.

• The sum of the mass numbers of the reactants should be equal to the sum of mass numbers of the products in the reaction.
• The sum of atomic numbers (or the atomic charge) of the reactants should be equal to the sum of atomic numbers (or the atomic charge) of the products in the reaction.

(b)

Interpretation Introduction

Interpretation:

The process that releases more energy has to be determined using given information.

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,

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

Change in mass of a given reaction can be determined as given,

  $\Delta m\text{ = }Mass\text{ of reactant}-\text{ Mass of products}$