Concept explainers
The following are the numbers
Lyman
Calculate the energy changes, in
(a)
Interpretation:
The energy change in
Concept introduction:
Rydberg equation is used to represent the wavenumber or wavelength of the lines present in the atomic spectrum of an element. The Rydberg equation for the hydrogen atom is represented as,
Where,
Answer:
The energy change in
Explanation:
The final energy level for the Lyman series is
The given initial energy level for the Lyman series is
The Rydberg equation for the hydrogen atom is represented as,
Where,
Substitute the value of
Therefore, the energy change in
Conclusion:
The energy change in
Answer to Problem 9.13E
The energy change in
Explanation of Solution
The final energy level for the Lyman series is
The given initial energy level for the Lyman series is
The Rydberg equation for the hydrogen atom is represented as,
Where,
Substitute the value of
Therefore, the energy change in
The energy change in
(b)
Interpretation:
The energy change in
Concept introduction:
Rydberg equation is used to represent the wavenumber or wavelength of the lines present in the atomic spectrum of an element. The Rydberg equation for the hydrogen atom is represented as,
Where,
Answer:
The energy change in
Explanation:
The final energy level for the Balmer series is
The given initial energy level for the Balmer series is
The Rydberg equation for the hydrogen atom is represented as,
Where,
Substitute the value of
Therefore, the energy change in
Conclusion:
The energy change in
Answer to Problem 9.13E
The energy change in
Explanation of Solution
The final energy level for the Balmer series is
The given initial energy level for the Balmer series is
The Rydberg equation for the hydrogen atom is represented as,
Where,
Substitute the value of
Therefore, the energy change in
The energy change in
(c)
Interpretation:
The energy change in
Concept introduction:
Rydberg equation is used to represent the wavenumber or wavelength of the lines present in the atomic spectrum of an element. The Rydberg equation for the hydrogen atom is represented as,
Where,
Answer:
The energy change in
Explanation:
The final energy level for the Paschen series is
The given initial energy level for the Paschen series is
The Rydberg equation for the hydrogen atom is represented as,
Where,
Substitute the value of
Therefore, the energy change in
Conclusion:
The energy change in
Answer to Problem 9.13E
The energy change in
Explanation of Solution
The final energy level for the Paschen series is
The given initial energy level for the Paschen series is
The Rydberg equation for the hydrogen atom is represented as,
Where,
Substitute the value of
Therefore, the energy change in
The energy change in
(d)
Interpretation:
The energy change in
Concept introduction:
Rydberg equation is used to represent the wavenumber or wavelength of the lines present in the atomic spectrum of an element. The Rydberg equation for the hydrogen atom is represented as,
Where,
Answer:
The energy change in
Explanation:
The final energy level for the Brackett series is
The given initial energy level for the Brackett series is
The Rydberg equation for the hydrogen atom is represented as,
Where,
Substitute the value of
Therefore, the energy change in
Conclusion:
The energy change in
Answer to Problem 9.13E
The energy change in
Explanation of Solution
The final energy level for the Brackett series is
The given initial energy level for the Brackett series is
The Rydberg equation for the hydrogen atom is represented as,
Where,
Substitute the value of
Therefore, the energy change in
The energy change in
(e)
Interpretation:
The energy change in
Concept introduction:
Rydberg equation is used to represent the wavenumber or wavelength of the lines present in the atomic spectrum of an element. The Rydberg equation for the hydrogen atom is represented as,
Where,
Answer:
The energy change in
Explanation:
The final energy level for the Pfund series is
The given initial energy level for the Pfund series is
The Rydberg equation for the hydrogen atom is represented as,
Where,
Substitute the value of
Therefore, the energy change in
Conclusion:
The energy change in
Answer to Problem 9.13E
The energy change in
Explanation of Solution
The final energy level for the Pfund series is
The given initial energy level for the Pfund series is
The Rydberg equation for the hydrogen atom is represented as,
Where,
Substitute the value of
Therefore, the energy change in
The energy change in
Want to see more full solutions like this?
Chapter 9 Solutions
Physical Chemistry
- The wave function for the 2pz, orbital in the hydrogen atom is 2pl=142(za0)3/2e/2cos where a0 is the value for the radius of the first Bohr orbit in meters (5.29 | 1011), is Z(r/a0), r is the value for the distance from the nucleus in meters, and is an angle. Calculate the value of 2pz2 at r = a0 for = 0 (z axis) and for = 90 (xy plane).arrow_forward(a) Calculate the frequency and the wavelength of the line for the n = 6 to n = 4 transition. (b) Is this wavelength longer or shorter than that of the n = 7 to n = 4 transition?arrow_forwardA particular transition of the rubidium atom emits light whose frequency is 3.84 1014 Hz. (Hz is the abbreviation for hertz, which is equivalent to the unit/s, or s1.) Is this light in the visible spectrum? If so, what is the color of the light? (See Figure 7.5.)arrow_forward
- A bright violet line occurs at 435.8 nm in the emission spectrum of mercury vapor. What amount of energy, in joules, must be released by an electron in a mercury atom to produce a photon of this light?arrow_forwardWhat is the wavelength of the electromagnetic radiation emitted from a hydrogen atom when the electron undergoes the transition n = 4 to n = 1? In what region of the spectrum does this line occur? (See Figure 7.5.)arrow_forwardA line in the Lyman series (nlo=1) occurs at 97.23 nm. Calculate nhi for the transition associated with this line.arrow_forward
- Chemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher:Cengage LearningChemistry: An Atoms First ApproachChemistryISBN:9781305079243Author:Steven S. Zumdahl, Susan A. ZumdahlPublisher:Cengage LearningChemistry by OpenStax (2015-05-04)ChemistryISBN:9781938168390Author:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark BlaserPublisher:OpenStax
- Principles of Instrumental AnalysisChemistryISBN:9781305577213Author:Douglas A. Skoog, F. James Holler, Stanley R. CrouchPublisher:Cengage LearningChemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage LearningGeneral Chemistry - Standalone book (MindTap Cour...ChemistryISBN:9781305580343Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; DarrellPublisher:Cengage Learning