In the Balmer spectrum of a hydrogen discharge lamp, the ratio of the intensities of the lines originating from levels n=3 and n=4 is 150/1. Estimate the temperature of the discharge gas, using the Boltzmann formula: Ni/Nj = (gi/gj)exp[-(Ei-Ej)/kT].  Where Ni is the originating energy level, gi is the degeneracy of the ith level (having principle quantum number n=i; so, for i = 1, g1 = 1, for i = 2, g2=4, for i = 3, g3= 9, etc.)  and Ei is the energy of the ith level.

Chemistry & Chemical Reactivity
10th Edition
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter6: The Structure Of Atoms
Section6.3: Atomic Line Spectra And Niels Bohr
Problem 6.4CYU: The Lyman series of spectral lines for the H atom, in the ultraviolet region, arises from...
icon
Related questions
Question
100%

In the Balmer spectrum of a hydrogen discharge lamp, the ratio of the intensities of the lines originating from levels n=3 and n=4 is 150/1. Estimate the temperature of the discharge gas, using the Boltzmann formula: Ni/Nj = (gi/gj)exp[-(Ei-Ej)/kT].  Where Nis the originating energy level, gi is the degeneracy of the ith level (having principle quantum number n=i; so, for i = 1, g1 = 1, for i = 2, g2=4, for i = 3, g3= 9, etc.)  and Ei is the energy of the ith level. 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Knowledge Booster
Atomic Structure and Spectra
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.
Recommended textbooks for you
Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
Chemistry
ISBN:
9781337399074
Author:
John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:
Cengage Learning
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Chemistry: Principles and Practice
Chemistry: Principles and Practice
Chemistry
ISBN:
9780534420123
Author:
Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:
Cengage Learning
Chemistry: The Molecular Science
Chemistry: The Molecular Science
Chemistry
ISBN:
9781285199047
Author:
John W. Moore, Conrad L. Stanitski
Publisher:
Cengage Learning
Principles of Modern Chemistry
Principles of Modern Chemistry
Chemistry
ISBN:
9781305079113
Author:
David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:
Cengage Learning
Fundamentals Of Analytical Chemistry
Fundamentals Of Analytical Chemistry
Chemistry
ISBN:
9781285640686
Author:
Skoog
Publisher:
Cengage