5. Calculate wavenumber for C=C and C=C by Hook's law. stronger bond higher frequency --- f = force constant m = mass k = constant Hooke's law V = k/ smaller mass --→ higher frequency The force constant (f) of C=C 10 x 105 dyne/cm and C=C, 15 x 105 dyne/cm The mass (m) is the mass of atoms (or weights). The smaller the value of m, the higher the V of vibration. CH30. HO capsaicin (spicy component of hot peppers)
5. Calculate wavenumber for C=C and C=C by Hook's law. stronger bond higher frequency --- f = force constant m = mass k = constant Hooke's law V = k/ smaller mass --→ higher frequency The force constant (f) of C=C 10 x 105 dyne/cm and C=C, 15 x 105 dyne/cm The mass (m) is the mass of atoms (or weights). The smaller the value of m, the higher the V of vibration. CH30. HO capsaicin (spicy component of hot peppers)
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...
Related questions
Question
![## Understanding Wavenumber Calculation Using Hooke's Law
### Problem Statement
5. Calculate the wavenumber for C=C and C≡C using Hooke's law.
### Hooke's Law
Hooke's Law for vibration frequency is given by the formula:
\[
\tilde{\nu} = k \sqrt{\frac{f}{m}}
\]
- \( \tilde{\nu} \): wavenumber
- \( f \): force constant
- \( m \): mass
- \( k \): constant
**Principles:**
- **Stronger Bond ➔ Higher Frequency**
- **Smaller Mass ➔ Higher Frequency**
### Force Constants
- **C=C (Double Bond):** \( f = 10 \times 10^5 \, \text{dyne/cm} \)
- **C≡C (Triple Bond):** \( f = 15 \times 10^5 \, \text{dyne/cm} \)
The mass (\( m \)) is the mass of atoms (or weights). The smaller the value of \( m \), the higher the wavenumber (\( \tilde{\nu} \)) of vibration.
### Structure of Capsaicin
Below the explanation, the chemical structure of capsaicin, a spicy component found in hot peppers, is provided.
- **Key Structural Details:**
- CH₃O (methoxy group)
- HO (hydroxy group)
- N-H (amide group)
- Various hydrocarbon chains and rings
Understanding the vibration principles and structural details of molecules helps in studying their chemical behavior and interactions efficiently.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca7515a8-b44b-40fa-83f2-449e6ef6ad98%2Fb3afef1a-2087-4009-a0f3-251294e96b97%2Ff46l5n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Understanding Wavenumber Calculation Using Hooke's Law
### Problem Statement
5. Calculate the wavenumber for C=C and C≡C using Hooke's law.
### Hooke's Law
Hooke's Law for vibration frequency is given by the formula:
\[
\tilde{\nu} = k \sqrt{\frac{f}{m}}
\]
- \( \tilde{\nu} \): wavenumber
- \( f \): force constant
- \( m \): mass
- \( k \): constant
**Principles:**
- **Stronger Bond ➔ Higher Frequency**
- **Smaller Mass ➔ Higher Frequency**
### Force Constants
- **C=C (Double Bond):** \( f = 10 \times 10^5 \, \text{dyne/cm} \)
- **C≡C (Triple Bond):** \( f = 15 \times 10^5 \, \text{dyne/cm} \)
The mass (\( m \)) is the mass of atoms (or weights). The smaller the value of \( m \), the higher the wavenumber (\( \tilde{\nu} \)) of vibration.
### Structure of Capsaicin
Below the explanation, the chemical structure of capsaicin, a spicy component found in hot peppers, is provided.
- **Key Structural Details:**
- CH₃O (methoxy group)
- HO (hydroxy group)
- N-H (amide group)
- Various hydrocarbon chains and rings
Understanding the vibration principles and structural details of molecules helps in studying their chemical behavior and interactions efficiently.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY