Explanation Let the set of the quantum numbers chosen by the group members for s orbitals be as follows: Orbital n l m l 1 s 1 0 0 2 s 2 0 0 3 s 3 0 0 4 s 4 0 0 An electron from the 1 s orbital cannot jump and produce any energy as it is the ground state. The wavelength for a transition is given by the Rydberg equation as follows: 1 λ = R ( 1 m 2 − 1 n 2 ) Here, λ is the wavelength, R = 1.097 × 10 7 m − 1 is the Rydberg constant, and m and n are integers. For the transition n i = 2 → n f = 1 , m = 2 and n = 1. Calculate the wavelength by substituting the values in the Rydberg equation as follows: 1 λ = ( 1.097 × 10 7 m − 1 ) × ( ( 1 1 2 ) − ( 1 2 2 ) ) = ( 1.097 × 10 7 m − 1 ) × ( 4 − 1 4 × 1 ) λ = ( 1 .2154 × 10 − 7 m ) × ( 1 × 10 9 nm 1 m ) = 121 .54 nm For the transition n i = 3 → n f = 2 , m = 3 and n = 2. Calculate the wavelength by substituting the values in the Rydberg equation as follows: 1 λ = ( 1.097 × 10 7 m − 1 ) × ( ( 1 2 2 ) − ( 1 3 2 ) ) = ( 1.097 × 10 7 m − 1 ) × ( 9 − 4 9 × 4 ) λ = ( 6 .5634 × 10 − 7 m ) × ( 1 × 10 9 nm 1 m ) = 656 .34 nm For the transition n i = 3 → n f = 1 , m = 3 and n = 1. Calculate the wavelength by substituting the values in the Rydberg equation as follows: 1 λ = ( 1.097 × 10 7 m − 1 ) × ( ( 1 1 2 ) − ( 1 3 2 ) ) = ( 1.097 × 10 7 m − 1 ) × ( 9 − 1 9 × 1 ) λ = ( 1 .0255 × 10 − 7 m ) × ( 1 × 10 9 nm 1 m ) = 102 .55 nm For the transition n i = 4 → n f = 3 , m = 4 and n = 3. Calculate the wavelength by substituting the values in the Rydberg equation as follows: 1 λ = ( 1.097 × 10 7 m − 1 ) × ( ( 1 3 2 ) − ( 1 4 2 ) ) = ( 1

Principles Of Chemistry: A Molecular Approach, Loose-leaf Edition (4th Edition)

4th Edition

ISBN: 9780134989099

Author: Nivaldo J. Tro

Publisher: PEARSON

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Chapter 7, Problem 112QGW

Interpretation Introduction

To calculate: Wavelength corresponding to various transitions, to tabulate all the combinations which are possible, and to list all the wavelengths in order of increasing energy.

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Chapter 7, Problem 111QGW

Chapter 7, Problem 113QGW

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Chapter 7 Solutions

Principles Of Chemistry: A Molecular Approach, Loose-leaf Edition (4th Edition)

Ch. 7 - Which wavelength of light has the highest...Ch. 7 - Q2. Which kind of electromagnetic radiation...Ch. 7 - Q3. How much energy (in J) is contained in 1.00...Ch. 7 - Q4. Light from three different lasers (A, B, and...Ch. 7 - Prob. 5SAQ Ch. 7 - Prob. 6SAQ Ch. 7 - Prob. 7SAQ Ch. 7 - Prob. 8SAQ Ch. 7 - Prob. 9SAQ Ch. 7 - Prob. 10SAQ

Ch. 7 - 1. Why is the quantum mechanical model of the atom...Ch. 7 - Prob. 2E Ch. 7 - 3. Define the wavelength and amplitude of a wave....Ch. 7 - 4. Define the frequency of electromagnetic...Ch. 7 - 5. What determines the color of light? Describe...Ch. 7 - Prob. 6E Ch. 7 - Prob. 7E Ch. 7 - Prob. 8E Ch. 7 - Prob. 9E Ch. 7 - 10. Describe the photoelectric effect. How did...Ch. 7 - Prob. 11E Ch. 7 - 12. What is a photon? How is the energy of a...Ch. 7 - Prob. 13E Ch. 7 - Prob. 14E Ch. 7 - Prob. 15E Ch. 7 - Prob. 16E Ch. 7 - 17. What are complementary properties? How does...Ch. 7 - Prob. 18E Ch. 7 - 19. What is a trajectory? What kind of information...Ch. 7 - Prob. 20E Ch. 7 - 21. Newton’s laws of motion are deterministic....Ch. 7 - Prob. 22E Ch. 7 - 23. What is a probability distribution map? Ch. 7 - 24. For each solution to the Schrödinger equation,...Ch. 7 - Prob. 25E Ch. 7 - 26. What is the Schrödinger equation? What is a...Ch. 7 - 27. What are the possible values of the principal...Ch. 7 - 28. What are the possible values of the angular...Ch. 7 - 29. What are the possible values of the magnetic...Ch. 7 - 30. List all the orbitals in each principal level....Ch. 7 - 31. Explain the difference between a plot showing...Ch. 7 - 32. Make sketches of the general shapes of the s,...Ch. 7 - Prob. 33E Ch. 7 - 34. Why are atoms usually portrayed as spheres...Ch. 7 - 35. The distance from the sun to Earth is km. How...Ch. 7 - Prob. 36E Ch. 7 - 37. List these types of electromagnetic radiation...Ch. 7 - 38. List these types of electromagnetic radiation...Ch. 7 - 39. Calculate the frequency of each wavelength of...Ch. 7 - Prob. 40E Ch. 7 - 41. Calculate the energy of a photon of...Ch. 7 - 42. Calculate the energy of a photon of...Ch. 7 - 43. A laser pulse with wavelength 532 nm contains...Ch. 7 - Prob. 44E Ch. 7 - 45. Determine the energy of 1 mol of photons for...Ch. 7 - 46. How much energy is contained in 1 mol of...Ch. 7 - Prob. 47E Ch. 7 - Prob. 48E Ch. 7 - Prob. 49E Ch. 7 - 50. The smallest atoms can themselves exhibit...Ch. 7 - 51. What is the de Broglie wavelength of an...Ch. 7 - 52. A proton in a linear accelerator has a de...Ch. 7 - 53. Calculate the de Broglie wavelength of a 143-g...Ch. 7 - 54. A 0.22-caliber handgun fires a 1.9-g bullet at...Ch. 7 - 55. An electron has an uncertainty in its position...Ch. 7 - 56. An electron traveling at 3.7 × 105 m/s has an...Ch. 7 - 57. Which electron is, on average, closer to the...Ch. 7 - Prob. 58E Ch. 7 - 59. What are the possible values of l for each...Ch. 7 - Prob. 60E Ch. 7 - 61. Which set of quantum numbers cannot specify an...Ch. 7 - 62. Which combinations of n and l represent real...Ch. 7 - 63. Sketch the 1s and 2p orbitals. How do the 2s...Ch. 7 - Prob. 64E Ch. 7 - 65. An electron in a hydrogen atom is excited with...Ch. 7 - 66. Determine whether each transition in the...Ch. 7 - 67. According to the quantum-mechanical model for...Ch. 7 - 68. According to the quantum-mechanical model for...Ch. 7 - 69. Calculate the wavelength of the light emitted...Ch. 7 - 70. Calculate the frequency of the light emitted...Ch. 7 - 71. An electron in the n = 7 level of the hydrogen...Ch. 7 - Prob. 72E Ch. 7 - 73. Ultraviolet radiation and radiation of shorter...Ch. 7 - Prob. 74E Ch. 7 - Prob. 75E Ch. 7 - 76. A green leaf has a surface area of 2.50 cm2....Ch. 7 - 77. In a technique used for surface analysis...Ch. 7 - Prob. 78E Ch. 7 - Prob. 79E Ch. 7 - 80. The energy required to ionize sodium is 496...Ch. 7 - Prob. 81E Ch. 7 - 82. Suppose that, in an alternate universe, the...Ch. 7 - Prob. 83E Ch. 7 - Prob. 84E Ch. 7 - 85. The binding energy of electrons in a metal is...Ch. 7 - 86. In order for a thermonuclear fusion reaction...Ch. 7 - Prob. 87E Ch. 7 - 88. The distance from Earth to the sun is 1.5 ×...Ch. 7 - 89. The iodine molecule can be photodissociated...Ch. 7 - 90. A 5.00-mL ampule of a 0.100-M solution of...Ch. 7 - 91. A laser produces 20.0 mW of red light. In 1.00...Ch. 7 - Prob. 92E Ch. 7 - 93. The quantum yield of light-induced chemical...Ch. 7 - Prob. 94E Ch. 7 - Prob. 95E Ch. 7 - Prob. 96E Ch. 7 - Prob. 97E Ch. 7 - Prob. 98E Ch. 7 - 99. Find the velocity of an electron emitted by a...Ch. 7 - 100. Water is exposed to infrared radiation of...Ch. 7 - 101. The 2005 Nobel Prize in Physics was given, in...Ch. 7 - 102. A metal with a threshold frequency of 6.71 ×...Ch. 7 - Prob. 103E Ch. 7 - Prob. 104E Ch. 7 - 105. Explain the difference between the Bohr model...Ch. 7 - 106. The light emitted from one of the following...Ch. 7 - Prob. 107E Ch. 7 - Prob. 108E Ch. 7 - 109. Discuss the nature of light with your group....Ch. 7 - Prob. 110QGW Ch. 7 - Prob. 111QGW Ch. 7 - Prob. 112QGW Ch. 7 - Prob. 113QGW Ch. 7 - 114. On average sunlight shines on the surface of...

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