Physical Chemistry
Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 18, Problem 18.27E
Interpretation Introduction

Interpretation:

The value of the rotational partition function for F2 at 335K is to be calculated.

Concept introduction:

The rotational partition function for the linear molecules is,

qrot=8π2IkTh2=Tθr

Where,

qrot is the rotational partition function.

I is the moment of inertia.

k is the Boltzmann constant.

T is the temperature.

h is the Planck’s constant.

θr is the rotational temperature.

The partition function is a unitless quantity.

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The rotational constant for the molecule 1H35Cl is B = 10.60 cm-1. Using Boltzmann statistics, determine the most likely rotational state J that such a molecule would be expected to have at a temperature of 300 K.
the rotational constant for 1H35Cl is 10.6 cm-1 . What are the degeneracies, g, of the J=2, and J=3 rotational states?
b. The energy difference between consecutive vibrational states is 1.0 x 1020 J for a molecule. (i) Calculate the population ratio, n4/n¡, for this system at 298 K and discuss the significance of this ratio in terms of the distribution of molecules in the higher vibrational energy states. (ii) Estimate the vibrational partition function at 298 K. (iii) Estimate the fundamental vibration wave number for this molecule. h = 6.626 x 10-3ª J s k= 1.38 x 1023 J K' c = 2.998 x 10® m s''
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