Q2. Statistical Thermodynamics. Answer all parts. i. What do you understand by the term molecular partition function? Write the partition function for a two-level system, the lower state (at energy 0) being non-degenerate, and the upper state (and an energy ɛ) doubly degenerate. i. A certain molecule has a doubly degenerate excited state lying at 360 cm- above the non-degenerate ground state. At what temperature will 15% of the molecules be in the upper state? iii. iv. Calculate the translational partition function at 300 K of a molecule of molecular mass 120 g mol- in a container of volume 2.0 cm. 3 2 7k 9 trs (MT)?V hNA V. Given that the vibration heat capacity has the formula: u'e" vib,m (e" – 1)? hcv 0yib where: u = kT T calculate the vibrational heat capacity of chlorine (Cl2) at 1000 K given that its characteristic vibrational temperature O, is 800 K.

Q2. Statistical Thermodynamics. Answer all parts. i. What do you understand by the term molecular partition function? Write the partition function for a two-level system, the lower state (at energy 0) being non-degenerate, and the upper state (and an energy ɛ) doubly degenerate. i. A certain molecule has a doubly degenerate excited state lying at 360 cm- above the non-degenerate ground state. At what temperature will 15% of the molecules be in the upper state? iii. iv. Calculate the translational partition function at 300 K of a molecule of molecular mass 120 g mol- in a container of volume 2.0 cm. 3 2 7k 9 trs (MT)?V hNA V. Given that the vibration heat capacity has the formula: u'e" vib,m (e" – 1)? hcv 0yib where: u = kT T calculate the vibrational heat capacity of chlorine (Cl2) at 1000 K given that its characteristic vibrational temperature O, is 800 K.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

Q2. Statistical Thermodynamics. Answer all parts.
i.
What do you understand by the term molecular partition function?
i.
Write the partition function for a two-level system, the lower state (at energy 0) being
non-degenerate, and the upper state (and an energy ɛ) doubly degenerate.
A certain molecule has a doubly degenerate excited state lying at 360 cm- above the
non-degenerate ground state. At what temperature will 15% of the molecules be in
the upper state?
iii.
iv.
Calculate the translational partition function at 300 K of a molecule of molecular
mass 120 g mol- in a container of volume 2.0 cm.
3
3
2 7k
9 trs
(MT)?V
hNA
V.
Given that the vibration heat capacity has the formula:
u'e"
Cyvib,m
= R
(e" – 1)?
hcv 0vib
where: u =
kT
%3D
T
calculate the vibrational heat capacity of chlorine (Cl2) at 1000 K given that its
characteristic vibrational temperature O, is 800 K.
vi.
Given that the molar entropy has the form:
и
S.
vib,m
-e
(e" –1)
Calculate the vibrational entropy of iodine (Cl2) at 1000 K.

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