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. Determine the longest wavelength of light required to remove an electron from a sample of...

. Determine the longest wavelength of light required to remove an electron from a sample of potassium metal, if the binding energy for an electron in K is 1.76 × 103 kJ/mol.

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Answer #1

Energy required per electron, E = (J/mol) / particles per mol
E = 1.76 * 10^6 J / 6.023 * 10^23 = 2.92 * 10^-18 J per electron

The energy of a photon of wavelength λ is given by Planck's equation .. E = h c/λ
h = Planck constant, c = vel of light

A photon with energy 2.92 * 10^-18 J is required to remove an electron
E = 2.92 * 10^-18 = h c/λ
λ = h c / 2.92 * 10^-18 .. .. (6.625 * 10^-34) x (3.0 * 10^8 m/s) / 2.92 * 10^-18 J .. .. λ = 6.807 * 10^-8 m (68nm)

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