The work function of a metal is the energy required to remove an electron in a vacuum.                      In the photoelectric effect, a single photon with energy greater than the work function incident on a metal plate is able to dislodge a single electron. Use the following information in the problem:

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Chapter1: Chemical Foundations
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The work function of a metal is the energy required to remove an electron in a vacuum.                     

In the photoelectric effect, a single photon with energy greater than the work function incident on a metal plate is able to dislodge a single electron.

Use the following information in the problem:

  • The work function (W) of the metal is 3 x 10-19 J per electron. 
  • The wavelength (λ) of the light is 500 nm.
  • The velocity of light (c) is 3 x 108 m/s.
  • Planck’s constant, h is 7 x 10-34 Js.
  • The mass (m) of an electron is 9 x 10-31 kg.
  • 1 nm = 10-9 m
  • The energy of a photon is Eph = hν = hc/λ
  • The kinetic energy of the electron is Ee = 1/2mv2 (v is the particle’s velocity)
  • The de Broglie relation relates wavelength and momentum of a particle λ = h/mv
  1.  Estimate to 1 S.F. the photon energy in J.                                             
  2.  Using conservation of energy write down the relationship in symbols between the photon energy (Eph), the work function (W), and the kinetic energy of the emitted electron (Ee
  3. Estimate to 1 S.F. the kinetic energy Ee of the emitted electron.           
  4. Estimate to 1 S.F. the velocity of the electron (v).                                            
  5. Using the de Broglie relation, estimate the wavelength of the electron.      

 

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