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What is the binding energy of the electron in kj/molkj/mol? [note that keke = 12mv212mv2 and 1 electron volt (evev) = 1. 602×10−19j. 1. 602×10−19j. ]

Sagot :

The binding energy of the electron is 1.237 ×10^(-16) kj/ mol.

The given parameter

wavelength of photon,

                       λ = 0.999nm

                          = 0.999x10⁻⁹ m

K.E of emitted photon,

                    K.E = 940 ev

The binding energy of electron is calculated as follows:

From Einstein's mass defect equation=

                    ΔE = Δmc²

Also, from Einstein's photo electric equation=

                       E = Ф + K.E

Where;

          Ф is binding energy of electron on metal surface.

The energy of on mole of electron, the emitted is calculated as:

                   

                       [tex]E = hf =h \frac{c}{λ} = (6.626×10^{-34} ) × \frac{{3×10^{8} }}{0.999×10^{-9} } \\\\E= 1.989×10^{-16}[/tex]

The K.E of emitted electron in Joules is

                 [tex]K.E = 940 × \frac{1}{2} ×1.602 ×\ 10^{-19} J\\\\ = 0.752 × 10^{-16} J[/tex]

The binding energy is electron is calculated as:

               [tex]Ф = E - K.E\\= (1.989 - 0.752) ×10^{-16}\\ =1.237 × 10^{-16} J[/tex]

Question: An X-ray photon of wavelength 0.999nm strikes a surface. The emitted electron has a kinetic energy of 940 eV. What isthe binding energy of the electron in kJ/mol? (KE=1/2mv2; 1 electron volt (eV) = 1.602 x10-19J)

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