   # The binding energy per nucleon for magnesium-27 is 1.326 × 10 −12 J/nucleon. Calculate the atomic mass of 27 Mg. ### 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 48E
Textbook Problem
472 views

## The binding energy per nucleon for magnesium-27 is 1.326 × 10−12 J/nucleon. Calculate the atomic mass of 27Mg.

Interpretation Introduction

Interpretation: The binding energy per nucleon of 27Mg is given. The atomic mass of 27Mg 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 atomic mass of 27Mg .

### Explanation of Solution

Explanation

The value of ΔE is given to be 1.326×1012J/nucleon .

The binding energy per nucleon is calculated by Einstein’s mass energy equation, that is,

ΔE=ΔmC2

Where,

• ΔE is the change in energy.
• Δm is the change in mass.
• C is the velocity of light.

Substitute the values of ΔE and C in the equation.

ΔE=Δmc21.326×1012Kgm2s-2nucleon=Δm×(3×108ms1)2Δm=1.326×1012Kgm2s-2nucleon9×1016m2s2Δm=1.4733×1029Kg/nucleon

Conversion of Kg/nucleon to amu/nucleon is done as,

1.66×1027Kg=1amu

Therefore, the conversion of 1.4733×1029Kg/nucleon into amu/nucleon is,

1.4733×1029Kg/nucleon=1.4733×10291.66×1027amu/nucleon=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
The FDA has extensive regulatory control over supplement sad. T F

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

How do eating disorders affect health?

Understanding Nutrition (MindTap Course List)

What are genomes?

Human Heredity: Principles and Issues (MindTap Course List)

Assign an IUPAC name to each of the following alcohols.

General, Organic, and Biological Chemistry

When high-energy charged particles move through a transparent medium with a speed greater than the speed of lig...

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

Tetra pods evolved from ___ . a. sharks b. teleosts c. lobe-finned fishes d. placoderms

Biology: The Unity and Diversity of Life (MindTap Course List)

What are the two kinds of large storms? How do they differ? How are they similar?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin 