Chemistry: A Molecular Approach (4th Edition)
Chemistry: A Molecular Approach (4th Edition)
4th Edition
ISBN: 9780134112831
Author: Nivaldo J. Tro
Publisher: PEARSON
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Chapter 8, Problem 1SAQ
Interpretation Introduction

Introduction: Coulomb’s law describes about the attractions and repulsions that take place between charged particles.

Expert Solution & Answer
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Answer to Problem 1SAQ

Correct answer: If the separation between two particles of the same charge is doubled, the potential energy of the two particles becomes one-half as high as it was before the separation. Therefore, option (b) is correct.

Explanation of Solution

Justify reasons for the correct statement:

Coulomb’s law states that the potential energy (E) of two charged particles is dependent on their charges (q1),(q2) and on the separation between them (r). The law is expressed as follows:

E=14εoq1q2r (1)

Here, εo is a constant.

If the separation between two particles of the same charge is doubled, calculate the new potential energy (E') by changing the value of r as 2r in the equation (1) as follows:E'=14εoq1q22r=12(14εoq1q2r)=E2

The potential energy of the two particles becomes one-half as high as it was before the separation.

Hence, option (b) is correct.

Justify reasons for the incorrect statements:

Option (a) is that the potential energy of the two particles becomes twice as high as it was before the separation. According to Coulomb’s law, the potential energy (E) is inversely proportional to the distance, so E can never become twice when r is doubled. So, it is a wrong answer.

Option (c) is that the potential energy of the two particles does not change. According to Coulomb’s law, the potential energy (E) is inversely proportional to the distance, so E will change when r is doubled. So, it is a wrong answer.

Option (d) is that the potential energy of the two particles becomes one-fourth as high as it was before the separation. According to Coulomb’s law, the potential energy (E) is inversely proportional to the distance, so E can never become one-fourth when r is doubled. So, it is a wrong answer.

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

Conclusion

If the separation between two particles of the same charge is doubled, the potential energy of the two particles becomes one-half as high as it was before the separation.

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Chapter 8 Solutions

Chemistry: A Molecular Approach (4th Edition)

Ch. 8 - Prob. 11SAQCh. 8 - Prob. 12SAQCh. 8 - Q13. The ionization energies of an unknown...Ch. 8 - Prob. 14SAQCh. 8 - Q15. For which element is the gaining of an...Ch. 8 - 1. What are periodic properties? Ch. 8 - Prob. 2ECh. 8 - Prob. 3ECh. 8 - 4. Who is credited with arranging the periodic...Ch. 8 - 5. Explain the contributions of Meyer and Moseley...Ch. 8 - Prob. 6ECh. 8 - Prob. 7ECh. 8 - Prob. 8ECh. 8 - Prob. 9ECh. 8 - 10. What is penetration? How does the penetration...Ch. 8 - 11. Why are the sublevels within a principal level...Ch. 8 - 12. What is an orbital diagram? Provide an...Ch. 8 - Prob. 13ECh. 8 - Prob. 14ECh. 8 - Prob. 15ECh. 8 - Prob. 16ECh. 8 - Prob. 17ECh. 8 - Prob. 18ECh. 8 - Prob. 19ECh. 8 - Prob. 20ECh. 8 - 21. Describe the relationship between an element’s...Ch. 8 - 22. Which of the transition elements in the first...Ch. 8 - 23. Describe how to write the electron...Ch. 8 - Prob. 24ECh. 8 - Prob. 25ECh. 8 - Prob. 26ECh. 8 - 27. What is effective nuclear charge? What is...Ch. 8 - Prob. 28ECh. 8 - Prob. 29ECh. 8 - Prob. 30ECh. 8 - Prob. 31ECh. 8 - Prob. 32ECh. 8 - 33. What is ionization energy? What is the...Ch. 8 - 34. What is the general trend in the first...Ch. 8 - 35. What are the exceptions to the periodic trends...Ch. 8 - Prob. 36ECh. 8 - Prob. 37ECh. 8 - Prob. 38ECh. 8 - 39. Write a general equation for the reaction of...Ch. 8 - Prob. 40ECh. 8 - 41. Write the full electron configuration for each...Ch. 8 - 42. Write the full electron configuration for...Ch. 8 - 43. Write the full orbital diagram for each...Ch. 8 - 44. Write the full orbital diagram for each...Ch. 8 - 45. Use the periodic table to write an electron...Ch. 8 - 46. Use the periodic table to determine the...Ch. 8 - 47. Use the periodic table to determine each...Ch. 8 - 48. Use the periodic table to determine each...Ch. 8 - 49. Name an element in the fourth period (row) of...Ch. 8 - 50. Name an element in the third period (row) of...Ch. 8 - 51. Determine the number of valence electrons in...Ch. 8 - Prob. 52ECh. 8 - 53. Which outer electron configuration would you...Ch. 8 - Prob. 54ECh. 8 - 55. According to Coulomb’s law, which pair of...Ch. 8 - 56. According to Coulomb’s law, rank the...Ch. 8 - 57. Which of the following will experience a...Ch. 8 - 58. Arrange the atoms according to decreasing...Ch. 8 - 59. If core electrons completely shielded valence...Ch. 8 - Prob. 60ECh. 8 - 61. Choose the larger atom from each pair. a. Al...Ch. 8 - Prob. 62ECh. 8 - 63. Arrange these elements in order of increasing...Ch. 8 - 64. Arrange these elements in order of decreasing...Ch. 8 - 65. Write the electron configuration for each...Ch. 8 - 66. Write the electron configuration for each...Ch. 8 - 67. Write orbital diagrams for each ion and...Ch. 8 - Prob. 68ECh. 8 - 69. Which is the larger species in each pair? a....Ch. 8 - 70. Which is the larger species in each pair? a....Ch. 8 - 71. Arrange this isoelectronic series in order of...Ch. 8 - Prob. 72ECh. 8 - 73. Choose the element with the higher first...Ch. 8 - Prob. 74ECh. 8 - 75. Arrange these elements in order of increasing...Ch. 8 - Prob. 76ECh. 8 - 77. For each element, predict where the “jump”...Ch. 8 - 78. Consider this set of ionization...Ch. 8 - 79. Choose the element with the more negative...Ch. 8 - Prob. 80ECh. 8 - 81. Choose the more metallic element from each...Ch. 8 - Prob. 82ECh. 8 - 83. Arrange these elements in order of increasing...Ch. 8 - Prob. 84ECh. 8 - Prob. 85ECh. 8 - Prob. 86ECh. 8 - Prob. 87ECh. 8 - Prob. 88ECh. 8 - Prob. 89ECh. 8 - Prob. 90ECh. 8 - Prob. 91ECh. 8 - Prob. 92ECh. 8 - Prob. 93ECh. 8 - Prob. 94ECh. 8 - Prob. 95ECh. 8 - Prob. 96ECh. 8 - Prob. 97ECh. 8 - Prob. 98ECh. 8 - 99. Consider these elements: N, Mg, O, F, and...Ch. 8 - Prob. 100ECh. 8 - Prob. 101ECh. 8 - Prob. 102ECh. 8 - Prob. 103ECh. 8 - Prob. 104ECh. 8 - Prob. 105ECh. 8 - 106. The electron affinity of each group 5A...Ch. 8 - 107. The elements with atomic numbers 35 and 53...Ch. 8 - Prob. 108ECh. 8 - Prob. 109ECh. 8 - Prob. 110ECh. 8 - Prob. 111ECh. 8 - 112. The first ionization energy of sodium is 496...Ch. 8 - 113. Consider the elements: B, C, N, O, F. a....Ch. 8 - Prob. 114ECh. 8 - 115. Consider the densities and atomic radii of...Ch. 8 - 116. As you have seen, the periodic table is a...Ch. 8 - 117. Consider the metals in the first transition...Ch. 8 - 118. Imagine a universe in which the value of ms...Ch. 8 - Prob. 119ECh. 8 - Prob. 120ECh. 8 - Prob. 121ECh. 8 - Prob. 122ECh. 8 - 123. Unlike the elements in groups 1A and 2A,...Ch. 8 - 124. Using the data in Figures 8.15 and 8.16,...Ch. 8 - 125. Even though adding two electrons to O or S...Ch. 8 - Prob. 126ECh. 8 - 127. The heaviest known alkaline earth metal is...Ch. 8 - Prob. 128ECh. 8 - Prob. 129ECh. 8 - Prob. 130ECh. 8 - 131. Imagine that in another universe atoms and...Ch. 8 - 132. The outermost valence electron in atom A...Ch. 8 - 133. Determine whether each statement regarding...Ch. 8 - Prob. 134ECh. 8 - Prob. 135ECh. 8 - Prob. 136QGWCh. 8 - Prob. 137QGWCh. 8 - Prob. 138QGWCh. 8 - Prob. 139QGWCh. 8 - Prob. 140QGWCh. 8 - Prob. 141DIA
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