# 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:

Where:

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

$\overline{){\mathbf{∆}}{\mathbf{E}}{\mathbf{=}}{\mathbf{h\nu }}}$

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)

83% (198 ratings)
###### 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