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18 January, 09:49

The minimum energy required to break the oxygen-oxygen bond in oxygen is 495 kJ/mol. What is the longest wavelength of radiation that possesses the necessary energy to break this bond? What type of electromagnetic radiation is this?

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  1. 18 January, 10:14
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    241 nm, it is UV light range

    Explanation:

    The minimum energy needed required to break the oxygen-oxygen bond = 495 kJ/mol

    Energy needed for 1 molecule of oxygen = 495 * 10³ J / avogadro's constant = 495 * 10³ J / (6.02 * 10²³) = 8.223 * 10⁻¹⁹ J

    Energy = hv

    where h = Planck constant = 6.626 * 10 ⁻³⁴ m²kg/s and v = frequency

    c speed of light = vλ

    c / λ = v

    E = hc / λ

    λ = hc / E = (6.626 * 10 ⁻³⁴ m²kg/s * 3.0 * 10 ⁸ m/s) / (8.223 * 10⁻¹⁹ J) = 2.41 * 10⁻⁷m = 241 nm

    UV light wavelength is between 400 nm - 10 nm
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