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.

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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