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10 January, 11:36

Covalent bonds in a molecule absorb radiation in the IR region and vibrate at characteristic frequencies.

(a) The C-O bond absorbs radiation of wavelength 9.6 μm. What frequency (in s⁻¹) corresponds to that wavelength?

(b) The H-Cl bond has a frequency of vibration of 8.652 x 10¹³ Hz. What wavelength (in μm) corresponds to that frequency?

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  1. 10 January, 11:49
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    (a) ν = 3.1 * 10¹³ s⁻¹

    (b) λ = 3.467 μm

    Explanation:

    We can solve both problems using the following expression.

    c = λ * ν

    where,

    c: speed of light

    λ: wavelength

    ν: frequency

    (a)

    c = λ * ν

    ν = c / λ

    ν = (3.000 * 10⁸ m/s) / (9.6 * 10⁻⁶ m)

    ν = 3.1 * 10¹³ s⁻¹

    (b)

    c = λ * ν

    λ = c / ν

    λ = (3.000 * 10⁸ m/s) / (8.652 * 10¹³ s⁻¹)

    λ = 3.467 * 10⁻⁶ m

    λ = 3.467 * 10⁻⁶ m (10⁶ μm / 1 m)

    λ = 3.467 μm
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