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11 September, 13:45

The bonds of oxygen molecules are broken by sunlight. The minimum energy required to break the oxygen-oxygen bond is 495 kJ/mol. What is the wavelength of sunlight that can cause this bond breakage?

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  1. 11 September, 13:55
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    The wavelength of sunlight that can cause this bond breakage is 242 nm

    Explanation:

    The minimum energy of the sunlight that'll break Oxygen-oxygen bond must match 495 KJ/mol

    But 1 mole of any molecule contains 6.02 * 10²³ molecules/mol

    Each molecule of Oxygen will require (495 * 10³) / (6.02 * 10²³) = 8.22 * 10⁻¹⁹ J

    E = hf

    v = fλ

    f = v/λ

    f = frequency of the sunlight

    λ = wavelength of the sunlight

    v = speed of light = 3.0 * 10⁸ m/s

    E = hv/λ

    λ = hv/E

    h = Planck's constant = 6.63 * 10⁻³⁴ J. s

    λ = (6.63 * 10⁻³⁴) (3 * 10⁸) / (8.22 * 10⁻¹⁹)

    λ = 2.42 * 10⁻⁷ m = 242 nm.
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