Concept explainers
To four significant figures, the first four lines in the Balmer series in the hydrogen atom
(a)
Interpretation:
The average value of
Concept introduction:
Rydberg equation is used to represent the wavenumber or wavelength or the energy difference of the lines present in the atomic spectrum of an element. The Rydberg equation for the hydrogen atom is represented as,
Where,
•
•
•
Answer to Problem 11.67E
The average value of
Explanation of Solution
For Balmer series in the hydrogen atom
Where,
•
•
•
•
•
Substitute the values of wavelength for
Substitute the values of wavelength for
Substitute the values of wavelength for
Substitute the values of wavelength for
Since all the values of
The average value of
(b)
Interpretation:
The wavelengths for which similar transitions occur for
Concept introduction:
Rydberg equation is used to represent the wavenumber or wavelength or the energy difference of the lines present in the atomic spectrum of an element. The Rydberg equation for the hydrogen atom is represented as,
Where,
•
•
•
Answer to Problem 11.67E
The wavelength of transition for helium cation for
Explanation of Solution
For Balmer series in the hydrogen atom
For hydrogen atom the energy difference is calculated by,
Where,
•
•
•
•
•
The energy difference using Rydberg constant for atoms other than hydrogen is calculated by,
Where,
•
•
•
•
•
•
For helium atom,
Thus, relation between the energy difference of hydrogen and helium cation is,
The relation between the wavelengths of transition of hydrogen and helium cation is,
Substitute the value of wavelength for
Substitute the value of wavelength for
Substitute the value of wavelength for
Substitute the value of wavelength for
Thus, the wavelength of transition for helium cation for
The wavelength of transition for helium cation for
Want to see more full solutions like this?
Chapter 11 Solutions
Bundle: Physical Chemistry, 2nd + Student Solutions Manual
- 6.9 If a string of decorative lights includes bulbs with wave-lengths of 480, 580, and 700 mm, what are the frequencies of the lights? Use Figure 6.6 to determine which colors are in the set.arrow_forwardAn FM radio station broadcasts at a frequency of 101.3 MHz. What is the wavelength, in meters and nanometers, of this radiation?arrow_forwardThis laser emits green light with a wavelength of 533 nm. (a) What is the energy, in joules, of one photon of light at this wavelength? (b) If a particular laser produces 1.00 watt (W) of power (1 W = 1 J/s), how many photons are produced each second by the laser?arrow_forward
- Principles of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage LearningChemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher:Cengage Learning
- Chemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage LearningChemistry by OpenStax (2015-05-04)ChemistryISBN:9781938168390Author:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark BlaserPublisher:OpenStaxChemistry & Chemical ReactivityChemistryISBN:9781337399074Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage Learning