(a) Interpretation: The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl 4 at frequency shift of 218 cm − 1 . Concept introduction: The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Question

The vibrational temperature of a molecule prepared in a supersonic jet can be estimated from the observed popula- tions of its vibrational levels, assuming a Boltzmann distri- bution. The vibrational frequency of HgBr is 5.58 × 1012 s-1, and the ratio of the number of molecules in the n = 1 state to the number in the n = 0 state is 0.127. Estimate the vibra- tional temperature under these conditions.

Answer 1

Question

Chapter 18, Problem 18.5QAP

Interpretation Introduction

(a)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 218 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Interpretation Introduction

(b)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 459 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Interpretation Introduction

(b)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 790 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

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The vibrational temperature of a molecule prepared in a supersonic jet can be estimated from the observed popula- tions of its vibrational levels, assuming a Boltzmann distri- bution. The vibrational frequency of HgBr is 5.58 × 1012 s-1, and the ratio of the number of molecules in the n = 1 state to the number in the n = 0 state is 0.127. Estimate the vibra- tional temperature under these conditions.

Calculate the vibrational, rotational, and translational contributions to the constant volume heat capacity (Cv) for 14N2 at 298 K. Assume this represents the high temperature limit for rotational energy and low temperature limit for vibrational energy. Given that Cv=20.81 J/K·mol for N2, state which type or types of energy contribute most to Cv for N2 and explain why those types of energy contribute most.

(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.

Answer 2

Question

Chapter 18, Problem 18.5QAP

Interpretation Introduction

(a)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 218 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Interpretation Introduction

(b)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 459 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Interpretation Introduction

(b)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 790 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Expert Solution & Answer

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Answer 3

Question

Chapter 18, Problem 18.5QAP

Interpretation Introduction

(a)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 218 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Interpretation Introduction

(b)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 459 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Interpretation Introduction

(b)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 790 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Expert Solution & Answer

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Answer 4

Question

Chapter 18, Problem 18.5QAP

Interpretation Introduction

(a)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 218 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Interpretation Introduction

(b)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 459 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Interpretation Introduction

(b)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 790 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Expert Solution & Answer

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Answer 5

Chapter 18, Problem 18.5QAP

Interpretation Introduction

(a)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 218 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Interpretation Introduction

(b)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 459 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Interpretation Introduction

(b)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 790 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Answer 6

Chapter 18, Problem 18.5QAP

Interpretation Introduction

(a)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 218 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Answer 7

Chapter 18, Problem 18.5QAP

Interpretation Introduction

(a)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 218 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Answer 8

Interpretation Introduction

(b)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 459 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Answer 9

Interpretation Introduction

(b)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 459 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Answer 10

Interpretation Introduction

(b)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 790 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Answer 11

Interpretation Introduction

(b)

Interpretation:

The ratio and comparison of intensities of the anti-Stokes and Stokes line for CCl4 at frequency shift of 790 cm−1.

Concept introduction:

The intensity of stocks lines is directly proportional to the population of higher state and intensity of anti-stocks is directly proportional to the population of lower state. The change in energy of Raman lines is directly proportional to the frequency shift.

Answer 12

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Ch. 18 - Prob. 18.1QAP Ch. 18 - Prob. 18.2QAP Ch. 18 - An antihistamine shows sharp peaks at Raman shifts...Ch. 18 - Prob. 18.4QAP Ch. 18 - Prob. 18.5QAP Ch. 18 - Prob. 18.6QAP Ch. 18 - Prob. 18.7QAP Ch. 18 - Prob. 18.8QAP Ch. 18 - Prob. 18.9QAP

Chapter 18 Solutions