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The reduce mass of diagramic molecule is 2.5×10^-26 kg and vibration frequency 2900cm Calculate the force concent?
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The reduce mass of diagramic molecule is 2.5×10^-26 kg and vibration f...
Calculation of Force Constant
Explanation
The force constant (k) is a measure of the stiffness of a chemical bond. It is defined as the force required to stretch or compress a bond by a unit distance. The vibration frequency (ν) is the frequency at which a molecule vibrates when it absorbs or emits infrared radiation. The reduce mass (m) is the effective mass of a molecule when it vibrates. The formula to calculate the force constant is derived from the harmonic oscillator model, which assumes that the molecule behaves like a spring. By knowing the vibration frequency and reduce mass of a molecule, we can calculate the force constant.
- Given: reduce mass m = 2.5 × 10^-26 kg
- Vibration frequency ν = 2900 cm^-1 = 2.9 × 10^14 Hz
- Formula: ν = (1/2π) × (k/m)^0.5
- By rearranging the formula, we get k = (4π^2 × m × ν^2)
- Substituting the given values, we get k = (4π^2 × 2.5 × 10^-26 kg × (2.9 × 10^14 Hz)^2)
- k = 6.0 × 10^-12 N/m
Explanation
The force constant (k) is a measure of the stiffness of a chemical bond. It is defined as the force required to stretch or compress a bond by a unit distance. The vibration frequency (ν) is the frequency at which a molecule vibrates when it absorbs or emits infrared radiation. The reduce mass (m) is the effective mass of a molecule when it vibrates. The formula to calculate the force constant is derived from the harmonic oscillator model, which assumes that the molecule behaves like a spring. By knowing the vibration frequency and reduce mass of a molecule, we can calculate the force constant.
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The reduce mass of diagramic molecule is 2.5×10^-26 kg and vibration frequency 2900cm Calculate the force concent?
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The reduce mass of diagramic molecule is 2.5×10^-26 kg and vibration frequency 2900cm Calculate the force concent? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The reduce mass of diagramic molecule is 2.5×10^-26 kg and vibration frequency 2900cm Calculate the force concent? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The reduce mass of diagramic molecule is 2.5×10^-26 kg and vibration frequency 2900cm Calculate the force concent?.
The reduce mass of diagramic molecule is 2.5×10^-26 kg and vibration frequency 2900cm Calculate the force concent? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The reduce mass of diagramic molecule is 2.5×10^-26 kg and vibration frequency 2900cm Calculate the force concent? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The reduce mass of diagramic molecule is 2.5×10^-26 kg and vibration frequency 2900cm Calculate the force concent?.
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