24. k It can be shown that the B parameter in the Morse potential is given by ß = 2D Calculate the value of ß in HCl, given that the values of k and D are 479 N/m and 431 kJ/mol, respectively. (1 N= 1 kg*m/s², and 1 J= 1 kg*m?/s?) A) 3.04*10-14 m-1. B) 1.82*1010 m'. C) 0.745 m-'. D) 2.36*10-2 m-l. E) 5.78*1011 m-!. %3D
24. k It can be shown that the B parameter in the Morse potential is given by ß = 2D Calculate the value of ß in HCl, given that the values of k and D are 479 N/m and 431 kJ/mol, respectively. (1 N= 1 kg*m/s², and 1 J= 1 kg*m?/s?) A) 3.04*10-14 m-1. B) 1.82*1010 m'. C) 0.745 m-'. D) 2.36*10-2 m-l. E) 5.78*1011 m-!. %3D
Chemistry
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Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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(the answer key says B but not sure why)
![**Problem 24: Calculation of the β Parameter in the Morse Potential**
The problem states that the β parameter in the Morse potential is given by the equation:
\[
β = \sqrt{\frac{k}{2D}}
\]
You are required to calculate the value of β for HCl (hydrogen chloride), given that the values of \( k \) (force constant) and \( D \) (dissociation energy) are 479 N/m and 431 kJ/mol, respectively. For reference, note the following unit equivalents: \( 1 \, \text{N} = 1 \, \text{kg} \cdot \text{m/s}^2\) and \( 1 \, \text{J} = 1 \, \text{kg} \cdot \text{m}^2/\text{s}^2 \).
The options provided for the value of \( β \) (\( \text{m}^{-1} \)) are:
- A) \( 3.04 \times 10^{-14} \, \text{m}^{-1} \)
- B) \( 1.82 \times 10^{10} \, \text{m}^{-1} \)
- C) \( 0.745 \, \text{m}^{-1} \)
- D) \( 2.36 \times 10^{-2} \, \text{m}^{-1} \)
- E) \( 5.78 \times 10^{11} \, \text{m}^{-1} \)
This requires applying the provided formula to find the correct β value by substituting the given numerical values for \( k \) and \( D \).
No graphs or diagrams are included in the question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F82106f3a-f1e8-43be-b260-5dfea39b8afc%2F074c2758-3be6-4ba2-bdd1-c7c9b9a3ad2a%2Fh81gt89_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 24: Calculation of the β Parameter in the Morse Potential**
The problem states that the β parameter in the Morse potential is given by the equation:
\[
β = \sqrt{\frac{k}{2D}}
\]
You are required to calculate the value of β for HCl (hydrogen chloride), given that the values of \( k \) (force constant) and \( D \) (dissociation energy) are 479 N/m and 431 kJ/mol, respectively. For reference, note the following unit equivalents: \( 1 \, \text{N} = 1 \, \text{kg} \cdot \text{m/s}^2\) and \( 1 \, \text{J} = 1 \, \text{kg} \cdot \text{m}^2/\text{s}^2 \).
The options provided for the value of \( β \) (\( \text{m}^{-1} \)) are:
- A) \( 3.04 \times 10^{-14} \, \text{m}^{-1} \)
- B) \( 1.82 \times 10^{10} \, \text{m}^{-1} \)
- C) \( 0.745 \, \text{m}^{-1} \)
- D) \( 2.36 \times 10^{-2} \, \text{m}^{-1} \)
- E) \( 5.78 \times 10^{11} \, \text{m}^{-1} \)
This requires applying the provided formula to find the correct β value by substituting the given numerical values for \( k \) and \( D \).
No graphs or diagrams are included in the question.
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