Wavelength of electromagnetic radiation

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SUMMARY

The longest wavelength of electromagnetic radiation that can ionize an atom of lithium (Li) with an ionization energy (IE1) of 520.1 kJ/mol can be calculated using the formula λ = hc/E. The energy must be converted from kJ/mol to joules for accurate calculations. The constants used are Planck's constant (h = 6.626 x 10^-34 J*s) and the speed of light (c = 3.00 x 10^8 m/s). A common confusion arises from unit conversions, particularly when transitioning from kJ to J.

PREREQUISITES
  • Understanding of ionization energy and its significance in atomic physics
  • Familiarity with the relationship between energy, frequency, and wavelength in electromagnetic radiation
  • Proficiency in unit conversion, specifically from kJ/mol to joules
  • Knowledge of fundamental constants such as Planck's constant and the speed of light
NEXT STEPS
  • Research the process of converting ionization energy from kJ/mol to joules
  • Learn about the implications of wavelength in the context of atomic ionization
  • Explore the use of the electromagnetic spectrum in practical applications
  • Study the principles of quantum mechanics related to energy levels and photon interactions
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Students and professionals in physics, chemistry, and engineering fields, particularly those focusing on atomic theory and electromagnetic radiation applications.

babbagee
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Calculate the longest wavelength of electromagnetic radiation that could ionize an atom of each of the following elements:

a) Li; IE1=520.1 kJ/mol

can some one tell me the steps to do this problem.

thanks
 
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E=hv


v=\frac{c}{\lambda}

so...\lambda=\frac{hc}{E}

E = energy (IN JOULES, not kJ!)
h = 6.626 * 10^-34 J*s
v = frequency (s^-1)
c = 3.00 * 10^8 m/s (speed of light)
\lambda = wavelength
 
Last edited:
thanks,

the only thing that was confusing about this problem was the units. I used the exact equation but my units did not work out. I got an answer in m/atom then some one told me that the atom is ignored for some reason.
 

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