Chapter 20, Problem 20.101QP

(a)

Interpretation Introduction

Interpretation: The target nucleus X should be identified and the binding energy per nucleon should be calculated.

Concept Introduction:

On accordance with law of conservation of mass, for any chemical reaction, total masses of reactants and products must be equal.

To calculate the nuclear binding energy

• Firstly determine the difference between the mass of the nucleus and the mass of all the protons and neutrons, which yields the mass defect.
• Next, we must apply Einstein mass – energy relationship.
• The nuclear binding energy per nucleon is given by the following equation
• Nuclear binding energy per nucleus= $\frac{\text{nuclear binding energy}}{\text{number of nucleons}}$
• Einstein mass energy relationship [ $\text{ΔE}=({\text{ΔM)c}}^{\text{2}}$].

To find: Determine the atomic number for the unknown species or target molecule X.

(b)

Interpretation Introduction

Interpretation: The target nucleus X should be identified and the binding energy per nucleon should be calculated.

Concept Introduction:

On accordance with law of conservation of mass, for any chemical reaction, total masses of reactants and products must be equal.

To calculate the nuclear binding energy.:

• Firstly determine the difference between the mass of the nucleus and the mass of all the protons and neutrons, which yields the mass defect.
• Next, we must apply Einstein mass – energy relationship.
• The nuclear binding energy per nucleon is given by the following equation
• Nuclear binding energy per nucleus= $\frac{\text{nuclear binding energy}}{\text{number of nucleons}}$
• Einstein mass energy relationship [ $\text{ΔE}=({\text{ΔM)c}}^{\text{2}}$].

To find: Determine the atomic number for the unknown species or target molecule X.