What is ΔE for the transition of an electron from n = 8 to n = 5 in a hydrogen atom? What is the frequency of the spectral line produced?

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  • Brent
    Lv 6
    3 years ago
    Favorite Answer

    E = -E0/n², where E0 = 13.6 eV (1 eV = 1.602×10^-19 J)

    ΔE = (-13.6 eV)(1.602×10^-19 J) (1/5² - 1/8²)

    = (-13.6 eV)(1.602×10^-19 J) (0.024375)

    = - 5.31×10^-20 J

    Answer is negative because energy is lost. The lost energy is transformed into a photon of electromagnetic energy. To find the wavelength, we need Planck's Constant

    E = hf

    5.31×10^-20 J = (6.626×10^-34 J/Hz) f

    f = 8.01×10^13 Hz or 80.1 THz

    This frequency is in the near infrared region just below visible light.

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