Chemistry Exam > Chemistry Questions > The bond length in CN+ is 0.129 nm. The posit...
Start Learning for Free
The bond length in CN+ is 0.129 nm. The position of second line in the microwave spectrum is:
- a)6.264 cm–1
- b)3.132 cm–1
- c)9.396 cm–1
- d)12.528 cm–1
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The bond length in CN+ is 0.129 nm. The position of second line in the...
Free Test
FREE
| Start Free Test |
Community Answer
The bond length in CN+ is 0.129 nm. The position of second line in the...
Calculation of the Second Line in Microwave Spectrum of CN
Bond length of CN = 0.129 nm
Frequency of transition between two rotational energy levels = ν(transition) = (E2 - E1)/h
Where h is Planck's constant
E2 - E1 = 2B (J + 1)
Where B is the rotational constant and J is the rotational quantum number
For the second line in the microwave spectrum, J = 1
Therefore, E2 - E1 = 4B
Substituting the value of E2 - E1 in the formula for frequency of transition, we get:
ν(transition) = 4B/h
B = h/8π²I
Where I is the moment of inertia of the molecule
I = μr²
Where μ is the reduced mass of the molecule and r is the bond length
μ = m1m2/(m1 + m2)
Where m1 and m2 are the masses of the atoms in the molecule
Substituting the values of h, π, μ, and r in the formula for B, we get:
B = h/8π²μr²
Substituting the value of B in the formula for frequency of transition, we get:
ν(transition) = h/2πμr²
Substituting the values of h, μ, and r in the above formula, we get:
ν(transition) = 1.15 x 10¹⁰ Hz
Converting Hz to cm⁻¹, we get:
ν(transition) = 3.85 cm⁻¹
The second line in the microwave spectrum is due to the transition from J = 0 to J = 1. Therefore, the frequency of the second line is twice the frequency of transition between J = 0 and J = 1.
Therefore, the position of the second line in the microwave spectrum is:
2ν(transition) = 2 x 3.85 cm⁻¹ = 7.7 cm⁻¹
The correct answer is option 'A' (6.264 cm⁻¹).
Bond length of CN = 0.129 nm
Frequency of transition between two rotational energy levels = ν(transition) = (E2 - E1)/h
Where h is Planck's constant
E2 - E1 = 2B (J + 1)
Where B is the rotational constant and J is the rotational quantum number
For the second line in the microwave spectrum, J = 1
Therefore, E2 - E1 = 4B
Substituting the value of E2 - E1 in the formula for frequency of transition, we get:
ν(transition) = 4B/h
B = h/8π²I
Where I is the moment of inertia of the molecule
I = μr²
Where μ is the reduced mass of the molecule and r is the bond length
μ = m1m2/(m1 + m2)
Where m1 and m2 are the masses of the atoms in the molecule
Substituting the values of h, π, μ, and r in the formula for B, we get:
B = h/8π²μr²
Substituting the value of B in the formula for frequency of transition, we get:
ν(transition) = h/2πμr²
Substituting the values of h, μ, and r in the above formula, we get:
ν(transition) = 1.15 x 10¹⁰ Hz
Converting Hz to cm⁻¹, we get:
ν(transition) = 3.85 cm⁻¹
The second line in the microwave spectrum is due to the transition from J = 0 to J = 1. Therefore, the frequency of the second line is twice the frequency of transition between J = 0 and J = 1.
Therefore, the position of the second line in the microwave spectrum is:
2ν(transition) = 2 x 3.85 cm⁻¹ = 7.7 cm⁻¹
The correct answer is option 'A' (6.264 cm⁻¹).
|
Explore Courses for Chemistry exam
|
|
Similar Chemistry Doubts
The bond length in CN+ is 0.129 nm. The position of second line in the microwave spectrum is:a)6.264 cm–1 b)3.132 cm–1c)9.396 cm–1 d)12.528 cm–1 Correct answer is option 'A'. Can you explain this answer?
Question Description
The bond length in CN+ is 0.129 nm. The position of second line in the microwave spectrum is:a)6.264 cm–1 b)3.132 cm–1c)9.396 cm–1 d)12.528 cm–1 Correct answer is option 'A'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about The bond length in CN+ is 0.129 nm. The position of second line in the microwave spectrum is:a)6.264 cm–1 b)3.132 cm–1c)9.396 cm–1 d)12.528 cm–1 Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The bond length in CN+ is 0.129 nm. The position of second line in the microwave spectrum is:a)6.264 cm–1 b)3.132 cm–1c)9.396 cm–1 d)12.528 cm–1 Correct answer is option 'A'. Can you explain this answer?.
The bond length in CN+ is 0.129 nm. The position of second line in the microwave spectrum is:a)6.264 cm–1 b)3.132 cm–1c)9.396 cm–1 d)12.528 cm–1 Correct answer is option 'A'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about The bond length in CN+ is 0.129 nm. The position of second line in the microwave spectrum is:a)6.264 cm–1 b)3.132 cm–1c)9.396 cm–1 d)12.528 cm–1 Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The bond length in CN+ is 0.129 nm. The position of second line in the microwave spectrum is:a)6.264 cm–1 b)3.132 cm–1c)9.396 cm–1 d)12.528 cm–1 Correct answer is option 'A'. Can you explain this answer?.
Solutions for The bond length in CN+ is 0.129 nm. The position of second line in the microwave spectrum is:a)6.264 cm–1 b)3.132 cm–1c)9.396 cm–1 d)12.528 cm–1 Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Chemistry.
Download more important topics, notes, lectures and mock test series for Chemistry Exam by signing up for free.
Here you can find the meaning of The bond length in CN+ is 0.129 nm. The position of second line in the microwave spectrum is:a)6.264 cm–1 b)3.132 cm–1c)9.396 cm–1 d)12.528 cm–1 Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The bond length in CN+ is 0.129 nm. The position of second line in the microwave spectrum is:a)6.264 cm–1 b)3.132 cm–1c)9.396 cm–1 d)12.528 cm–1 Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The bond length in CN+ is 0.129 nm. The position of second line in the microwave spectrum is:a)6.264 cm–1 b)3.132 cm–1c)9.396 cm–1 d)12.528 cm–1 Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The bond length in CN+ is 0.129 nm. The position of second line in the microwave spectrum is:a)6.264 cm–1 b)3.132 cm–1c)9.396 cm–1 d)12.528 cm–1 Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The bond length in CN+ is 0.129 nm. The position of second line in the microwave spectrum is:a)6.264 cm–1 b)3.132 cm–1c)9.396 cm–1 d)12.528 cm–1 Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Chemistry tests.
|
|
Explore Courses for Chemistry exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup