Chemistry: A Molecular Approach Selected Solutions Manual, Books a la Carte Edition
Chemistry: A Molecular Approach Selected Solutions Manual, Books a la Carte Edition
4th Edition
ISBN: 9780134554259
Author: Nivaldo J. Tro
Publisher: PEARSON
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Chapter 12, Problem 1SAQ
Interpretation Introduction

Introduction: The distance between the atomic layers in a crystal can be calculated by using Bragg’s law.

Expert Solution & Answer
Check Mark

Answer to Problem 1SAQ

Correct answer: The separation between atomic layers is 158 pm. There fore, option (d) is correct.

Explanation of Solution

Justify reasons for the correct answer:

Calculate the separation between the atomic layers in the crystal by using the rearranged equation of Bragg’s law as follows:

d=nλ2sinθ

Here, n is the order of diffraction (an integral number), λ is the wavelength, d is the separation between layers, and θ is the reflection angle.

Substituting the known values:

d=(1)×(154pm)2×sin(29.1º)=158 pm

There fore, option (d) is correct.

Justify reasons for the incorrect answer:

Option (a) results by using the wrong equation of Bragg’s law as follows:

d=(2)×(154pm)2×sin(29.1º)=316 pm

Or:

d=(1)×(154pm)sin(29.1º)=316 pm

So, it is an incorrect answer.

Option (b) has the wrong value. So, it is an incorrect answer.

Option (c) has the same value as the wavelength of the incident light. No equation is used. So, it is an incorrect answer.

Hence, options (a), (b), and (c) are incorrect.

Conclusion
The separation between the atomic layers is 158 pm.

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Chapter 12 Solutions

Chemistry: A Molecular Approach Selected Solutions Manual, Books a la Carte Edition

Ch. 12 - Prob. 11SAQCh. 12 - Prob. 12SAQCh. 12 - Prob. 13SAQCh. 12 - Prob. 1ECh. 12 - Prob. 2ECh. 12 - Prob. 3ECh. 12 - Prob. 4ECh. 12 - Prob. 5ECh. 12 - Prob. 6ECh. 12 - Prob. 7ECh. 12 - Prob. 8ECh. 12 - Prob. 9ECh. 12 - Prob. 10ECh. 12 - Prob. 11ECh. 12 - Prob. 12ECh. 12 - Prob. 13ECh. 12 - Prob. 14ECh. 12 - Prob. 15ECh. 12 - Prob. 16ECh. 12 - Prob. 17ECh. 12 - Prob. 18ECh. 12 - Prob. 19ECh. 12 - Prob. 20ECh. 12 - Prob. 21ECh. 12 - Prob. 22ECh. 12 - Prob. 23ECh. 12 - Prob. 24ECh. 12 - Prob. 25ECh. 12 - Prob. 26ECh. 12 - Prob. 27ECh. 12 - Prob. 28ECh. 12 - Prob. 29ECh. 12 - Prob. 30ECh. 12 - Prob. 31ECh. 12 - Prob. 32ECh. 12 - Prob. 33ECh. 12 - Prob. 34ECh. 12 - Prob. 35ECh. 12 - Prob. 36ECh. 12 - 37. Polonium crystallizes with a simple cubic...Ch. 12 - Prob. 38ECh. 12 - Prob. 39ECh. 12 - Prob. 40ECh. 12 - Prob. 41ECh. 12 - Prob. 42ECh. 12 - Prob. 43ECh. 12 - Prob. 44ECh. 12 - Prob. 45ECh. 12 - Prob. 46ECh. 12 - Prob. 47ECh. 12 - Prob. 48ECh. 12 - Prob. 49ECh. 12 - Prob. 50ECh. 12 - Prob. 51ECh. 12 - Prob. 52ECh. 12 - Prob. 53ECh. 12 - Prob. 54ECh. 12 - Prob. 55ECh. 12 - Prob. 56ECh. 12 - Prob. 57ECh. 12 - Prob. 58ECh. 12 - Prob. 59ECh. 12 - Prob. 60ECh. 12 - Prob. 61ECh. 12 - Prob. 62ECh. 12 - Prob. 63ECh. 12 - Prob. 64ECh. 12 - Prob. 65ECh. 12 - Prob. 66ECh. 12 - Prob. 67ECh. 12 - Prob. 68ECh. 12 - Prob. 69ECh. 12 - Prob. 70ECh. 12 - 71. One kind of polyester is a condensation...Ch. 12 - 72. Nomex, a condensation copolymer used by...Ch. 12 - Prob. 73ECh. 12 - Prob. 74ECh. 12 - Prob. 75ECh. 12 - Prob. 76ECh. 12 - Prob. 77ECh. 12 - Prob. 78ECh. 12 - Prob. 79ECh. 12 - 80. Consider the body-centered cubic structure...Ch. 12 - Prob. 81ECh. 12 - Prob. 82ECh. 12 - Prob. 83ECh. 12 - Prob. 84ECh. 12 - Prob. 85ECh. 12 - Prob. 86ECh. 12 - Prob. 87ECh. 12 - Prob. 88ECh. 12 - Prob. 89ECh. 12 - Prob. 90ECh. 12 - Prob. 91ECh. 12 - Prob. 92ECh. 12 - Prob. 93ECh. 12 - Prob. 94ECh. 12 - Prob. 95ECh. 12 - Prob. 96ECh. 12 - Prob. 97ECh. 12 - Prob. 98ECh. 12 - Prob. 99ECh. 12 - Prob. 100ECh. 12 - Prob. 101ECh. 12 - Prob. 102ECh. 12 - Prob. 103ECh. 12 - Prob. 104ECh. 12 - Prob. 105DIA
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