Chemistry: The Central Science (13th Edition)
Chemistry: The Central Science (13th Edition)
13th Edition
ISBN: 9780321910417
Author: Theodore E. Brown, H. Eugene LeMay, Bruce E. Bursten, Catherine Murphy, Patrick Woodward, Matthew E. Stoltzfus
Publisher: PEARSON
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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
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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.

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Chapter 7 Solutions

Chemistry: The Central Science (13th Edition)

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
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