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Calculate the vibrational degree of freedom in the following molecule
1) oxygen 2) laughing gas 3) formaldehyde 4) methane 5) benzene 6) chloroform?
1) oxygen 2) laughing gas 3) formaldehyde 4) methane 5) benzene 6) chloroform?
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Calculate the vibrational degree of freedom in the following molecule ...
Vibrational Degrees of Freedom Explained
In molecular physics, the vibrational degree of freedom refers to the number of independent vibrational modes a molecule can exhibit. The formula to calculate the vibrational degrees of freedom is given by:
3N - 6 for non-linear molecules and 3N - 5 for linear molecules, where N is the number of atoms in the molecule. Let's apply this to the given molecules.
1) Oxygen (O2)
- Type: Linear
- Atoms (N): 2
- Vibrational Degrees of Freedom: 3(2) - 5 = 1
2) Laughing Gas (N2O)
- Type: Linear
- Atoms (N): 3
- Vibrational Degrees of Freedom: 3(3) - 5 = 4
3) Formaldehyde (CH2O)
- Type: Non-linear
- Atoms (N): 3
- Vibrational Degrees of Freedom: 3(3) - 6 = 3
4) Methane (CH4)
- Type: Non-linear
- Atoms (N): 5
- Vibrational Degrees of Freedom: 3(5) - 6 = 9
5) Benzene (C6H6)
- Type: Non-linear
- Atoms (N): 12
- Vibrational Degrees of Freedom: 3(12) - 6 = 30
6) Chloroform (CHCl3)
- Type: Non-linear
- Atoms (N): 4
- Vibrational Degrees of Freedom: 3(4) - 6 = 6
Summary
- Oxygen: 1
- Laughing Gas: 4
- Formaldehyde: 3
- Methane: 9
- Benzene: 30
- Chloroform: 6
Understanding vibrational degrees of freedom aids in grasping molecular behavior and thermodynamics.
In molecular physics, the vibrational degree of freedom refers to the number of independent vibrational modes a molecule can exhibit. The formula to calculate the vibrational degrees of freedom is given by:
3N - 6 for non-linear molecules and 3N - 5 for linear molecules, where N is the number of atoms in the molecule. Let's apply this to the given molecules.
1) Oxygen (O2)
- Type: Linear
- Atoms (N): 2
- Vibrational Degrees of Freedom: 3(2) - 5 = 1
2) Laughing Gas (N2O)
- Type: Linear
- Atoms (N): 3
- Vibrational Degrees of Freedom: 3(3) - 5 = 4
3) Formaldehyde (CH2O)
- Type: Non-linear
- Atoms (N): 3
- Vibrational Degrees of Freedom: 3(3) - 6 = 3
4) Methane (CH4)
- Type: Non-linear
- Atoms (N): 5
- Vibrational Degrees of Freedom: 3(5) - 6 = 9
5) Benzene (C6H6)
- Type: Non-linear
- Atoms (N): 12
- Vibrational Degrees of Freedom: 3(12) - 6 = 30
6) Chloroform (CHCl3)
- Type: Non-linear
- Atoms (N): 4
- Vibrational Degrees of Freedom: 3(4) - 6 = 6
Summary
- Oxygen: 1
- Laughing Gas: 4
- Formaldehyde: 3
- Methane: 9
- Benzene: 30
- Chloroform: 6
Understanding vibrational degrees of freedom aids in grasping molecular behavior and thermodynamics.
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Calculate the vibrational degree of freedom in the following molecule 1) oxygen 2) laughing gas 3) formaldehyde 4) methane 5) benzene 6) chloroform?
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Calculate the vibrational degree of freedom in the following molecule 1) oxygen 2) laughing gas 3) formaldehyde 4) methane 5) benzene 6) chloroform? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Calculate the vibrational degree of freedom in the following molecule 1) oxygen 2) laughing gas 3) formaldehyde 4) methane 5) benzene 6) chloroform? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the vibrational degree of freedom in the following molecule 1) oxygen 2) laughing gas 3) formaldehyde 4) methane 5) benzene 6) chloroform?.
Calculate the vibrational degree of freedom in the following molecule 1) oxygen 2) laughing gas 3) formaldehyde 4) methane 5) benzene 6) chloroform? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Calculate the vibrational degree of freedom in the following molecule 1) oxygen 2) laughing gas 3) formaldehyde 4) methane 5) benzene 6) chloroform? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the vibrational degree of freedom in the following molecule 1) oxygen 2) laughing gas 3) formaldehyde 4) methane 5) benzene 6) chloroform?.
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