Chemistry: A Molecular Approach
Chemistry: A Molecular Approach
3rd Edition
ISBN: 9780321809247
Author: Nivaldo J. Tro
Publisher: Prentice Hall
bartleby

Concept explainers

bartleby

Videos

Textbook Question
Chapter 8, Problem 1SAQ

Q1. According to Coulomb's law, if the separation between two particles of the same charge is doubled, what happens to the potential energy of the two particles?

a) becomes twice as high as it was before the distance separation.

b) becomesone-half as high as it was before the separation.

c) does not change.

d) becomes one-fourth as high as it was before the separation.

Expert Solution & Answer
Check Mark
Interpretation Introduction

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

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.

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 8 Solutions

Chemistry: A Molecular Approach

Ch. 8 - Arrange these atoms and ions in order of...Ch. 8 - Prob. 12SAQCh. 8 - Q13. The ionization energies of an unknown...Ch. 8 - Which statement is true about trends in metallic...Ch. 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 - 36. Examination of the first few successive...Ch. 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 - Name an element in the fourth period (row) of the...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 - 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. 117ECh. 8 - Prob. 118ECh. 8 - Prob. 119ECh. 8 - Prob. 120ECh. 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. 124ECh. 8 - 127. The heaviest known alkaline earth metal is...Ch. 8 - Prob. 126ECh. 8 - Prob. 127ECh. 8 - Prob. 128ECh. 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. 132ECh. 8 - Prob. 133E
Knowledge Booster
Chemistry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • Predict and test the behavior of a particles fired at a Rutherford atom model. Predict the paths taken by a particles that are fired at atoms with a Rutherford atom model structure. Explain why you expect the particles to take these paths. If a particles of higher energy than those in (a) are fired at Rutherford atoms, predict how their paths will differ from the lower-energy a particle paths. Explain your reasoning. Predict how the paths taken by the particles will differ if they are fired at Rutherford atoms of elements other than gold. What factor do you expect to cause this difference in paths, and why? Now test your predictions from (a), (b), and (c). Open the Rutherford Scattering simulation (http://openstaxcollege.org/I/16PhetScatter) and select the Rutherford Atom tab. Due to the scale of the simulation, it is best to start with a small nucleus, so select 20 for both protons and neutrons, mm for energy, show traces, and then start firing a particles. Does this match your prediction from (a)? If not, explain why the actual path would be that shown in the simulation. Pause or reset, set energy to max, and start firing a particles. Does this match your prediction from (b)? If not, explain the effect of increased energy on the actual path as shown in the simulation. Pause or reset, select 40 for both protons and neutrons, mm for energy, show traces, and fire away. Does this match your prediction from (c)? If not, explain why the actual path would be that shown in the simulation. Repeat this with larger numbers of protons and neutrons. What generalization can you make regarding the type of atom and effect on the path of a particles? Be clear and specific.
    One of the best indications of a useful theory is that it raises more questions for further experimentation than it originally answered. How does this apply to Dalton’s atomic theory? Give examples.
    A chemistry instructor makes the following claim: Consider that if the nucleus were the size of a grape, the electrons would be about I mile away on average. Is this claim reasonably accurate? Provide mathematical support.
    • SEE MORE QUESTIONS
    Recommended textbooks for you
  • Introductory Chemistry: A Foundation
    Chemistry
    ISBN:9781337399425
    Author:Steven S. Zumdahl, Donald J. DeCoste
    Publisher:Cengage Learning
    Chemistry
    Chemistry
    ISBN:9781305957404
    Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
    Publisher:Cengage Learning
    Chemistry
    Chemistry
    ISBN:9781133611097
    Author:Steven S. Zumdahl
    Publisher:Cengage Learning
  • General Chemistry - Standalone book (MindTap Cour...
    Chemistry
    ISBN:9781305580343
    Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
    Publisher:Cengage Learning
    Chemistry for Today: General, Organic, and Bioche...
    Chemistry
    ISBN:9781305960060
    Author:Spencer L. Seager, Michael R. Slabaugh, Maren S. Hansen
    Publisher:Cengage Learning
    World of Chemistry, 3rd edition
    Chemistry
    ISBN:9781133109655
    Author:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCoste
    Publisher:Brooks / Cole / Cengage Learning
  • Introductory Chemistry: A Foundation
    Chemistry
    ISBN:9781337399425
    Author:Steven S. Zumdahl, Donald J. DeCoste
    Publisher:Cengage Learning
    Chemistry
    Chemistry
    ISBN:9781305957404
    Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
    Publisher:Cengage Learning
    Chemistry
    Chemistry
    ISBN:9781133611097
    Author:Steven S. Zumdahl
    Publisher:Cengage Learning
    General Chemistry - Standalone book (MindTap Cour...
    Chemistry
    ISBN:9781305580343
    Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
    Publisher:Cengage Learning
    Chemistry for Today: General, Organic, and Bioche...
    Chemistry
    ISBN:9781305960060
    Author:Spencer L. Seager, Michael R. Slabaugh, Maren S. Hansen
    Publisher:Cengage Learning
    World of Chemistry, 3rd edition
    Chemistry
    ISBN:9781133109655
    Author:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCoste
    Publisher:Brooks / Cole / Cengage Learning
    Atomic Number, Atomic Mass, and the Atomic Structure | How to Pass ChemistryThe Nucleus: Crash Course Chemistry #1; Author: Crash Course;https://www.youtube.com/watch?v=FSyAehMdpyI;License: Standard YouTube License, CC-BY