Consider a molecular two-level system with a twofold degenerate ground state (la- beled “0") and a threefold degenerate level (labeled "l") with an energy (expressed in wavenumbers) 150.0 cm-1 above the ground state. (a) What is the proportion N1/N of molecules in the higher level at T = 400 K? (b) What is the molecular average energy (relative to the ground state and expressed in wavenumbers) when the temperature is T = 400 K? (c) What is the proportion No/N of molecules in the ground state when T→ 0 K? (d) What is the proportion N1/N of molecules in the higher level when T o0?

College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter31: Radioactivity And Nuclear Physics
Section: Chapter Questions
Problem 3PE: (a) Repeat Exercise 31.2, and convert the energy to joules or calories. (b) If all of this energy is...
icon
Related questions
Question
Problem 1
Consider a molecular two-level system with a twofold degenerate ground state (la-
beled “0") and a threefold degenerate level (labeled “1") with an energy (expressed in
wavenumbers) 150.0 cm-1 above the ground state.
(a) What is the proportion N1/N of molecules in the higher level at T = 400 K?
(b) What is the molecular average energy (relative to the ground state and expressed
in wavenumbers) when the temperature is T = 400 K?
(c) What is the proportion No/N of molecules in the ground state when T → 0K?
(d) What is the proportion N1/N of molecules in the higher level when T →?
Transcribed Image Text:Problem 1 Consider a molecular two-level system with a twofold degenerate ground state (la- beled “0") and a threefold degenerate level (labeled “1") with an energy (expressed in wavenumbers) 150.0 cm-1 above the ground state. (a) What is the proportion N1/N of molecules in the higher level at T = 400 K? (b) What is the molecular average energy (relative to the ground state and expressed in wavenumbers) when the temperature is T = 400 K? (c) What is the proportion No/N of molecules in the ground state when T → 0K? (d) What is the proportion N1/N of molecules in the higher level when T →?
Expert Solution
steps

Step by step

Solved in 4 steps with 8 images

Blurred answer
Knowledge Booster
Boltzmann Statistics of Ideal gas
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
University Physics Volume 3
University Physics Volume 3
Physics
ISBN:
9781938168185
Author:
William Moebs, Jeff Sanny
Publisher:
OpenStax