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

FREE Expert Solution

We’re being asked to calculate binding energy of the electron in kJ/mol. When photons with enough energy hit the surface of a metal, electrons are emitted. This phenomenon is known as the Photoelectric Effect.


Total energy (ΔE) in photoelectric effect can be calculated using the following equation:

E=Ework function+Ekinetic energy

Where:

Δis the total energy or the energy of the light/photon/radiation and can be calculated using the equation:

E=

Etotal energy = J
h = Planck’s constant = 6.626x10-34 J
s
ν = frequency = Hz or s-1

Ework function is the work function or threshold frequency or binding energy of the metal (minimum energy required to remove an electron from the metal)

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Problem Details

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

BEmol=_________________ kJ/mol

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