Question

If light with a wavelength of 515 nm is shown on a metal surface, and photoelectrons (electrons ejected from the surface) have a kinetic energy of 86.2 kJ/mol, what is the binding energy of the electrons (also known as the work function of the surface)?

Answer 1

The binding energy of the electrons (also known as the work function of the surface) is determined as 2.43 x 10⁻¹⁹ J.

Binding energy of the electrons

The binding energy of the electrons is also known as work function of the metal and it is calculated as follows;

Ф = E - K.E

where;

Ф = hf - 86.2 kJ/mol

Ф = hc/λ - 86.2 kJ/mol

Ф = (6.63 x 10⁻³⁴ x 3 x 10⁸ )/515 x 10⁻⁹   -  86.2 kJ/mol

Ф = 3.86 x 10⁻¹⁹ J - (86200 J/mol)/(6.02 x 10²³)

Ф = 3.86 x 10⁻¹⁹ J - 1.43  x 10⁻¹⁹ J

Ф = 2.43 x 10⁻¹⁹ J

Learn more about work function here: brainly.com/question/19427469

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