Chemistry the Central Science 13th Edition Custom for Lamar University
Chemistry the Central Science 13th Edition Custom for Lamar University
13th Edition
ISBN: 9781269962667
Author: Theodore L. Brown, H. Eugene LeMay Jr., Bruce E. Bursten, Batherine J. Murphy, Patrick M. Woodward, Matthew W. Stoltzfus
Publisher: Pearson Learning Center
Question
Book Icon
Chapter 7, Problem 1DE
Interpretation Introduction

Interpretation: The nuclear masses of the isotopes of beryllium are given and the nuclei which has largest binding energy per nucleon is to be determined.

Concept Introduction: The binding energy per nucleon is directly proportional to the loss in mass in the nucleus. As the lass in mass increases, the binding energy per nucleon increases.

To determine: The isotope which has highest binding energy per nucleon out of B7e,B9e and B10e .

Expert Solution & Answer
Check Mark

Answer to Problem 1DE

Solution: The isotope B10e has largest binding energy per nucleon out of the given isotopes.

Explanation of Solution

Given The nuclear mass of B7e is 7.0147amu .
The nuclear mass of B9e is 9.0100amu .
The nuclear mass of B10e is 10.0113amu .

The loss in mass of the nucleus is the difference of sum of the masses of protons and neutrons and the nuclear mass of the nuclei.

The loss in mass of the given isotopes is calculated as,
For B7e


Δm=(3×1.00866amu+4×1.00728amu)7.0147amu=0.04040amu

For B9e


Δm=(5×1.00866amu+4×1.00728amu)9.0100amu=0.06242amu

For B10e


Δm=(6×1.00866amu+4×1.00728amu)10.0113amu=0.06978amu

Since, the binding energy per nucleon is directly proportional to the loss in mass. Therefore, the isotope which has highest loss in mass will have highest binding energy per nucleon. Thus, the isotope B10e has highest binding energy per nucleon.

Conclusion

The isotope B10e has largest binding energy per nucleon out of the given isotopes.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Chapter 7 Solutions

Chemistry the Central Science 13th Edition Custom for Lamar University

Ch. 7.4 - Prob. 7.6.1PECh. 7.4 - The atomic masses of hydrogen-2 (deuterium),...Ch. 7.4 - Prob. 7.7.1PECh. 7.4 - Prob. 7.7.2PECh. 7.6 - Prob. 7.8.1PECh. 7.6 - Prob. 7.8.2PECh. 7.6 - Prob. 7.9.1PECh. 7.6 - Prob. 7.9.2PECh. 7.7 - Prob. 7.10.1PECh. 7.7 - Prob. 7.10.2PECh. 7 - Prob. 1DECh. 7 - Prob. 1ECh. 7 - Prob. 2ECh. 7 - Prob. 3ECh. 7 - Prob. 4ECh. 7 - Prob. 5ECh. 7 - Prob. 6ECh. 7 - Prob. 7ECh. 7 - Prob. 8ECh. 7 - Prob. 9ECh. 7 - Prob. 10ECh. 7 - You might have expected that the elements would...Ch. 7 - Prob. 12ECh. 7 - (a) What is meant by the term effective nuclear...Ch. 7 - Prob. 14ECh. 7 - Prob. 15ECh. 7 - Prob. 16ECh. 7 - Prob. 17ECh. 7 - Prob. 18ECh. 7 - Prob. 19ECh. 7 - Why does the quantum mechanical description or...Ch. 7 - Prob. 21ECh. 7 - Prob. 22ECh. 7 - Prob. 23ECh. 7 - Prob. 24ECh. 7 - Prob. 25ECh. 7 - Prob. 26ECh. 7 - Prob. 27ECh. 7 - Prob. 28ECh. 7 - Prob. 29ECh. 7 - Prob. 30ECh. 7 - Prob. 31ECh. 7 - Prob. 32ECh. 7 - Prob. 33ECh. 7 - Prob. 34ECh. 7 - Prob. 35ECh. 7 - In the ionic compounds LiF, NaCl, KBr, and RbI,...Ch. 7 - Prob. 37ECh. 7 - Prob. 38ECh. 7 - Prob. 39ECh. 7 - Prob. 40ECh. 7 - Prob. 41ECh. 7 - Prob. 42ECh. 7 - Prob. 43ECh. 7 - Prob. 44ECh. 7 - Prob. 45ECh. 7 - Prob. 46ECh. 7 - Prob. 47ECh. 7 - Prob. 48ECh. 7 - Prob. 49ECh. 7 - Prob. 50ECh. 7 - 7.51 Although the electron affinity ofbromineis a...Ch. 7 - Prob. 52ECh. 7 - Prob. 53ECh. 7 - Prob. 54ECh. 7 - Prob. 55ECh. 7 - Prob. 56ECh. 7 - Prob. 57ECh. 7 - Prob. 58ECh. 7 - Prob. 59ECh. 7 - Prob. 60ECh. 7 - Prob. 61ECh. 7 - Prob. 62ECh. 7 - Prob. 63ECh. 7 - Prob. 64ECh. 7 - Prob. 65ECh. 7 - Why does xenon form stable compounds with...Ch. 7 - Prob. 67ECh. 7 - Prob. 68ECh. 7 - Prob. 69ECh. 7 - Prob. 70ECh. 7 - Prob. 71ECh. 7 - Prob. 72ECh. 7 - Prob. 73ECh. 7 - Prob. 74ECh. 7 - Prob. 75ECh. 7 - Prob. 76ECh. 7 - Prob. 77ECh. 7 - Prob. 78ECh. 7 - Prob. 79AECh. 7 - Prob. 80AECh. 7 - Prob. 81AECh. 7 - Prob. 82AECh. 7 - Prob. 83AECh. 7 - Prob. 84AECh. 7 - Prob. 85AECh. 7 - Prob. 86AECh. 7 - Prob. 87AECh. 7 - Prob. 88AECh. 7 - Prob. 89AECh. 7 - Prob. 90AECh. 7 - Prob. 91AECh. 7 - Write a chemical formula for each compound or ion,...Ch. 7 - Prob. 93AECh. 7 - Prob. 94AECh. 7 - Prob. 95AECh. 7 - Prob. 96AECh. 7 - Prob. 97AECh. 7 - Prob. 98AECh. 7 - Prob. 99AECh. 7 - Prob. 100AECh. 7 - Prob. 101AECh. 7 - Prob. 102AECh. 7 - Prob. 103AECh. 7 - Prob. 104AECh. 7 - Prob. 105AECh. 7 - Prob. 106AECh. 7 - Prob. 107AECh. 7 - Prob. 108AECh. 7 - Prob. 109AECh. 7 - Prob. 110IECh. 7 - Prob. 111IECh. 7 - Prob. 112IECh. 7 - Prob. 113IECh. 7 - Prob. 114IECh. 7 - Prob. 115IE
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning
Text book image
Chemistry
Chemistry
ISBN:9781259911156
Author:Raymond Chang Dr., Jason Overby Professor
Publisher:McGraw-Hill Education
Text book image
Principles of Instrumental Analysis
Chemistry
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Cengage Learning
Text book image
Organic Chemistry
Chemistry
ISBN:9780078021558
Author:Janice Gorzynski Smith Dr.
Publisher:McGraw-Hill Education
Text book image
Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning
Text book image
Elementary Principles of Chemical Processes, Bind...
Chemistry
ISBN:9781118431221
Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:WILEY