# The most stable nucleus in terms of binding energy per nucleon is 56 Fe. If the atomic mass of 56 Fe is 55.9349 u, calculate the binding energy per nucleon for 56 Fe.

### Chemistry: An Atoms First Approach

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

Chapter
Section

### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 18, Problem 44E
Textbook Problem
771 views

## The most stable nucleus in terms of binding energy per nucleon is 56Fe. If the atomic mass of 56Fe is 55.9349 u, calculate the binding energy per nucleon for 56Fe.

Interpretation Introduction

Interpretation: The binding energy per nucleon of 56Fe is to be calculated.

Concept introduction: 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.

To determine: The binding energy per nucleon of 56Fe

### Explanation of Solution

Explanation

The atomic mass of 56Fe=55.9349amu .

Mass of 11H=1.00782 amu .

The mass of neutron is 1.00866amu .

Number of protons in 56Fe=26

Number of neutrons in 56Fe=30

The mass defect is calculated by the formula,

Δm=Atomicmass of 56Fe [Numberofprotons×massof11HprotonNumberofneutrons×massofneutron]

Substitute the value of the atomic mass 56Fe  , the number of protons and mass of the 11H proton and that of the neutron in the above equation.

Δm=55.9349[(26×1.00782)+(30×1.00866)]Δm=0.589amu/nucleus

The conversion of amu/nucleus to Kg/nucleus is done as,

1amu=1.66×1027Kg

Therefore, the conversion of 0.589amu/nucleus into kg/nucleus is,

0.5289amu/nucleus=(0.5289×1×1.66×1027)kg/nucleus=-0.8779×10-27Kg/nucleus_

Therefore, the mass defect (Δm) of 56Fe is -0

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
Which of the following values is found on food labels? Recommended Dietary Allowances Dietary Reference Intakes...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

Why isn’t there an eclipse at every new moon and at every full moon?

Horizons: Exploring the Universe (MindTap Course List)

Assume you are measuring the specific heat of a sample of originally hot metal by using a calorimeter containin...

Physics for Scientists and Engineers, Technology Update (No access codes included)

Apart from food, list five things in your home that are homogeneous.

Introductory Chemistry: An Active Learning Approach