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?

Modern Physics
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ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
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Chapter11: Molecular Structure
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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 →?
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