Let's examine the calculation of C, for a gas phase polyatomic molecule like H2O. The three fundamental vibrational absorptions for H20 are at 3756 cm', 3657 cm, and 1595 cm. Calculate the molar heat capacity for this molecule at 298 K using the classical contributions for the translational and rotational degrees of freedom, but the quantum statistical mechanical contribution for the vibrations. List the total value of C,, along with the contributions to C, for

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter18: More Statistical Thermodynamics
Section: Chapter Questions
Problem 18.4E
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Exercise 6
Let's examine the calculation of C, for a gas phase polyatomic molecule like H20. The three
fundamental vibrational absorptions for H20 are at 3756 cm, 3657 cm, and 1595 cm.
Calculate the molar heat capacity for this molecule at 298 K using the classical contributions for
the translational and rotational degrees of freedom, but the quantum statistical mechanical
contribution for the vibrations. List the total value of C,, along with the contributions to C, for
each of the vibrational modes. (Note: A spreadsheet program should be used here).
Transcribed Image Text:Sntomplete Exercise 6 Let's examine the calculation of C, for a gas phase polyatomic molecule like H20. The three fundamental vibrational absorptions for H20 are at 3756 cm, 3657 cm, and 1595 cm. Calculate the molar heat capacity for this molecule at 298 K using the classical contributions for the translational and rotational degrees of freedom, but the quantum statistical mechanical contribution for the vibrations. List the total value of C,, along with the contributions to C, for each of the vibrational modes. (Note: A spreadsheet program should be used here).
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