Solving Unexplained Homework Question: Sodium Emission Line at 589nm

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SUMMARY

The discussion centers on calculating the energy produced by 0.2698 moles of excited sodium atoms, specifically relating to the sodium emission line at 589nm. The energy of a single photon at this wavelength is determined using the equation E = hc/λ, where h is Planck's constant and c is the speed of light. The total energy produced by the sodium atoms is calculated by multiplying the energy of one photon by the total number of sodium atoms in 0.2698 moles, which results in an energy output of 5.481 x 10^4 joules.

PREREQUISITES
  • Understanding of photon energy calculations using E = hc/λ
  • Knowledge of Avogadro's number for mole calculations
  • Familiarity with basic chemistry concepts related to atomic structure
  • Ability to perform unit conversions and scientific notation
NEXT STEPS
  • Learn about Planck's constant and its application in quantum mechanics
  • Study the concept of moles and Avogadro's number in detail
  • Explore the relationship between wavelength and energy in electromagnetic radiation
  • Investigate the principles of atomic excitation and photon emission
USEFUL FOR

This discussion is beneficial for chemistry students, educators, and anyone interested in understanding the principles of photon energy and atomic behavior in relation to emission spectra.

Sephiroth2088
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Hello, I'm new and I have a question about something on my homework that I just can't find an explanation how to do.

if sodium has an emmsion line at 589nm, what is the energy (in joules) produced by 0.2698 moles of excited sodium atoms?

The answer is apparently 5.481*10^4

If anyone could tell me how to go from those above numbers to that answer I would sure appreicate it, thanks in advance.
 
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Some questions to think about;
  1. What is the energy of a single photon with a wavelength of 589nm?
  2. How many sodium atoms in a mole of sodium?
  3. How many sodium atoms in 0.2698 moles of soduim?
  4. Assuming each of the atoms is excited to the same level, how many 589nm photons are produced?
 

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