What is the Binding Energy of an Electron to a Metal Surface?

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SUMMARY

The binding energy of an electron to a metal surface can be calculated using the equation E=hv, where E represents energy, h is Planck's constant, and v is the frequency of the incident light. For a metal with a threshold wavelength of 662 nm, the photon energy can be determined and subsequently converted to kJ/mol by first converting the energy from joules to kJ and then multiplying by Avogadro's number (6.022 x 1023 mol-1). This method provides a definitive calculation of the binding energy associated with the photoelectric effect.

PREREQUISITES
  • Understanding of the photoelectric effect
  • Familiarity with Planck's constant (h)
  • Knowledge of Avogadro's number (6.022 x 1023 mol-1)
  • Basic skills in unit conversion (joules to kJ)
NEXT STEPS
  • Research the calculation of photon energy using E=hv
  • Learn about the photoelectric effect and its applications in physics
  • Study unit conversion techniques, particularly for energy
  • Explore the significance of Avogadro's number in chemical calculations
USEFUL FOR

Students and professionals in physics, chemistry, and materials science, particularly those interested in the photoelectric effect and energy calculations related to electron binding in metals.

McMaster_Girl
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Ok, so the question is:

A metal has a threshold wavelength for the onset of the photoelectric effect of 662 nm. What is the binding energy (kj/mol) of an electron to the metal surface.

I used E=hv to get the photon energy, so is that the binding energy as well? If so, how do i convert it to kJ/mol, do i use avagadro's number?

Any help is appreciated, thanks!
 
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Yes and yes! You have this one nailed.
 
To convert it to kJ/mole you first convert the result from E=hv to joules and the multiply the result by Avogadros number.
 

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