Energy is emitted by one excited sodium atom when it generates a photon?

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SUMMARY

The energy emitted by one excited sodium atom when generating a photon of 589 nm yellow light can be calculated using the equation E=hf, where h is the Planck constant (6.63 × 10-34 joules per hertz) and f is the frequency derived from the wavelength using c=fλ. The speed of light (c) is approximately 3 × 108 m/s. For part b, the total energy emitted when 1.00 mole of sodium atoms generates a photon can be determined by multiplying the energy calculated for one atom by Avogadro's number (6.022 × 1023 atoms/mole).

PREREQUISITES
  • Understanding of the Planck constant and its application in quantum mechanics.
  • Knowledge of the relationship between wavelength and frequency of electromagnetic radiation.
  • Familiarity with basic chemistry concepts, including moles and Avogadro's number.
  • Ability to perform calculations involving scientific notation and unit conversions.
NEXT STEPS
  • Calculate the frequency of light using the formula f=c/λ for 589 nm light.
  • Apply the equation E=hf to find the energy emitted by one sodium atom.
  • Multiply the energy per atom by Avogadro's number to find the total energy for 1.00 mole of sodium atoms.
  • Explore additional applications of the Planck constant in quantum physics.
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Students studying quantum mechanics, chemistry enthusiasts, and anyone preparing for exams involving electromagnetic radiation and atomic energy calculations.

jewilki1
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Sodium vapor lamps are widely used for lighting public areas such as parking lots by emiting 589 nm yellow light.
a. how much energy is emitted by one excited sodium atom when it generates a photon?
b. How much energy is emitted when 1.00 mole of sodium atoms each generate a photon?
Can you help me with this problem. I am studying for a quiz.

How do you work this problem? This comes from problems of the day. We do not get answers or how to work them out. We are just supposed to study them after we work them. Thanks.
 
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I think the answers may have something to do with the following equations:

[tex]E=hf[/tex]

Where E is the energy in joules, h is the Planck constant of [tex]6.63 \times 10^{-34}[/tex] joules per hertz, and f is the frequency of the em-radiation in hertz.

However you have the wavelength of the light not the frequency, but the two are related by:

[tex]c=f\lambda[/tex]

Where c is the speed of light (about [tex]3 \times 10^8[/tex]m/s), f is the frequency of the light in hertz and [tex]\lambda[/tex] is the wavelength of the light.

If you can find the answer to part a then for part b think about how many sodium atoms are in 1.00 mole.

I hope this helps jewilki1
 
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