One way to measure ionization energies is ultraviolet photoelectronspectroscopy (PES), a technique based on thephotoelectric effect. (Section 6.2) In PES, monochromaticlight is directed onto a sample, causing electrons tobe emitted. The kinetic energy of the emitted electrons ismeasured. The difference between the energy of the photonsand the kinetic energy of the electrons corresponds to theenergy needed to remove the electrons (that is, the ionizationenergy). Suppose that a PES experiment is performedin which mercury vapor is irradiated with ultraviolet lightof wavelength 58.4 nm. (a) What is the energy of a photonof this light, in joules? (b) Write an equation that shows theprocess corresponding to the first ionization energy of Hg.(c) The kinetic energy of the emitted electrons is measured tobe 1.72 * 10-18 J. What is the first ionization energy of Hg, inkJ>mol? (d) Using Figure 7.10, determine which of the halogenelements has a first ionization energy closest to thatof mercury.

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One way to measure ionization energies is ultraviolet photoelectron
spectroscopy (PES), a technique based on the
photoelectric effect. (Section 6.2) In PES, monochromatic
light is directed onto a sample, causing electrons to
be emitted. The kinetic energy of the emitted electrons is
measured. The difference between the energy of the photons
and the kinetic energy of the electrons corresponds to the
energy needed to remove the electrons (that is, the ionization
energy). Suppose that a PES experiment is performed
in which mercury vapor is irradiated with ultraviolet light
of wavelength 58.4 nm. (a) What is the energy of a photon
of this light, in joules? (b) Write an equation that shows the
process corresponding to the first ionization energy of Hg.
(c) The kinetic energy of the emitted electrons is measured to
be 1.72 * 10-18 J. What is the first ionization energy of Hg, inkJ>mol? (d) Using Figure 7.10, determine which of the halogen
elements has a first ionization energy closest to that
of mercury.

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