Infrared spectra are used by chemists to help identify an unknown substance. Atoms in a molecule that are bound together by a particular bond vibrate at a predictable trequency, and light at that frequency is absorbed strongly by the atom. In the case of the C0 double bond, for example, the oxygen atom is bound to the carbon by a bond that has an effective spring constant of 2800 N/m. If we assume that the carbon atorn remains stationary (it is attached to other atoms in the molecule), determine the resonant frequency of this bond and the wavelength of light that matches that frequency. (The mass of an orygen atom is 2.66 x 10 kg.) Hz

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Infrared spectra are used by chemists to help identify an unknown substance. Atoms in a molecule that are bound together by a particular bond vibrate at a
predictable frequency, and light at that frequency is absorbed strongly by the atom. In the case of the C=0 double bond, for example, the oxygen atom is bound to
the carbon by a bond that has an effective spring constant of 2800 N/m. If we assume that the carbon atom remains stationary (t is attached to other atoms in
the molecule), determine the resonant frequency of this bond and the wavelength of light that matches that frequency. (The mass of an oxygen atom is
2.66 x 106 kg.)
Hz
Does this wavelength lie in the infrared region of the spectrum?
Yes
ONo
Additional Materials
Transcribed Image Text:Infrared spectra are used by chemists to help identify an unknown substance. Atoms in a molecule that are bound together by a particular bond vibrate at a predictable frequency, and light at that frequency is absorbed strongly by the atom. In the case of the C=0 double bond, for example, the oxygen atom is bound to the carbon by a bond that has an effective spring constant of 2800 N/m. If we assume that the carbon atom remains stationary (t is attached to other atoms in the molecule), determine the resonant frequency of this bond and the wavelength of light that matches that frequency. (The mass of an oxygen atom is 2.66 x 106 kg.) Hz Does this wavelength lie in the infrared region of the spectrum? Yes ONo Additional Materials
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