# 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

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Photoelectric Effect concept. You can view video lessons to learn Photoelectric Effect. Or if you need more Photoelectric Effect practice, you can also practice Photoelectric Effect practice problems.