   # Define mass defect and binding energy. How do you determine the mass defect for a nuclide? How do you convert the mass defect into the binding energy for a nuclide? Iron-56 has the largest binding energy per nucleon among all known nuclides. Is this good or bad for iron-56? Explain. ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 18, Problem 7RQ
Textbook Problem
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## Define mass defect and binding energy. How do you determine the mass defect for a nuclide? How do you convert the mass defect into the binding energy for a nuclide? Iron-56 has the largest binding energy per nucleon among all known nuclides. Is this good or bad for iron-56? Explain.

Interpretation Introduction

Interpretation: The mass defect and binding energy are to be defined. The determination of mass defect for a nuclide, the conversion of mass defect into binding energy for a nuclide and whether the largest binding energy of iron- 56 is good or bad for it is to be stated.

Concept introduction: The energy changes for nuclear reactions are extremely large in comparison to physical and chemical changes. Thermodynamic stability of a nucleus is determined by calculating the change in potential energy which is result of formation of the nucleus from its component protons and neutrons.

To determine: The definition of mass defect and binding energy, mass defect for a nuclide, conversion of mass defect into binding energy for a nuclide and if the largest binding energy of iron- 56 is good or bad for it.

### Explanation of Solution

Explanation

The mass defect and binding energy is defined below. The mass defect for a nuclide and binding energy is calculated by the Einstein equation.

The difference of the sum of masses of the component nucleons and the actual mass of a nucleus is known as the mass defect and it can be used to calculate the nuclear binding energy. The energy required to decompose a nucleus into constituent neutrons and protons is known as binding energy.

The mass defect is calculated by the formula,

ΔE=Δmc2

Where,

• ΔE is the binding energy.
• Δm is the mass defect.
• c is the velocity of light

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