Calculate the threshold energy in kj/mol of electrons in aluminum, given that the lowest frequency photon for which the photoelectric effect is observed is 9.87 × 1014 hz.

The threshold energy of the electrons in aluminium is 393.71 kJ/mol.

Explanation: Threshold energy is the minimum amount of energy which is required to emit a photon from a metal surface.

Mathematically,

Where,

E = Threshold energy

= Avogadro's constant =

h = Planck's Constant =

= Frequency of the particle =

Putting values in above equation, we get:

  (Conversion Factor: 1kJ = 1000J)

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