Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 14, Problem 14.22E
Interpretation Introduction
Interpretation:
The values for the first five rotational energy levels of ethane,
Concept introduction:
The energy levels inside a molecules that represents the various possible methods by which a part of a molecule revolves around the bond present between the atoms is known as rotational energy level.
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A molecule in a gas undergoes about 1.0 × 109 collisions in each second. Suppose that (a)
every collision is effective in deactivating the molecule rotationally and (b) that one collision
in 10 is effective. Calculate the width (in cm³¹) of rotational transitions in the molecule.
(c)
When a gas is expanded very rapidly, its temperature can fall to a few degrees Kelvin. At these
low temperatures, unusual molecules like ArHCl (Argon weakly bonded to HCl) can form on
mixing.
For the isotopic species Ar H$CI, the following rotational transitions were observed:
J (1 → 2): 6714.44 MHz
J (2 → 3): 10068.90 MHz
Assume the molecule can be treated as a linear diatomic molecule (ArCl).
(i) Calculate the rotational constant (B) and centrifugal distortion (D) constant for this molecule.
Consider the rotational spectrum of a linear molecule at 298 K with a moment of inertia of 1.23×10−461.23\times10^{-46}1.23×10−46 kg m2 .
(a) What is the frequency for the transition from J = 2 to J = 3?
(b) What is the most populated rotational level for this molecule? Would the transition in (a) give the most intense signal in the rotational spectrum?
Chapter 14 Solutions
Physical Chemistry
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