First year chemistry quantum mechanics question

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SUMMARY

The discussion centers on identifying an unknown metal based on the kinetic energy of ejected electrons from excited hydrogen atoms. The kinetic energy is measured at 8.77 x 10^-19 J, and the binding energies of potential metals are provided. The correct identification of the unknown metal is Silver (Ag), with a binding energy of 7.58 x 10^-19 J. The relationship between kinetic energy, binding energy, and emitted radiation is crucial for solving this problem.

PREREQUISITES
  • Understanding of quantum mechanics principles, specifically electron orbitals.
  • Familiarity with the photoelectric effect and its equations.
  • Knowledge of binding energy and its significance in atomic physics.
  • Basic calculations involving energy units (Joules).
NEXT STEPS
  • Study the photoelectric effect and its mathematical formulation.
  • Learn about the energy levels of electrons in hydrogen atoms, focusing on the 2p orbital.
  • Research the binding energies of various metals and their applications in quantum mechanics.
  • Explore advanced quantum mechanics topics related to atomic transitions and emission spectra.
USEFUL FOR

This discussion is beneficial for chemistry students, educators, and anyone interested in quantum mechanics, particularly in the context of atomic structure and the photoelectric effect.

nclz
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Hydrogen atoms are generated in an excited state where the electron occupies the 2p orbital. The excited sample of atoms then emits radiation that is directed to an unknown metal. The radiation ejects electrons with kinetic energy 8.77 x 10^-19 J. Given the data in the table below, identify the unknown metal.

Metal: Ag, Cr, Ca, Mg, Au
Binding energy: 7.58x10^-19, 7.21x10^-19, 4.60x10^-19, 5.86x10^-19, 8.17x10^-19

Attempt:

8.77x10^-19J = -2.18x10^-18x(z^2)(1/2^2)

I also know that E light = E Kinetic + E binding

The correct answer is 7.58x10^-19. Can someone explain to me how to tackle this question?

Please don't delete my question, I put in a lot of effort to type this
 
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nclz said:
identify the unknown metal.

The correct answer is 7.58x10^-19

No idea what you are doing nor what you are writing. 7.58x10-19 is not a metal.

Please don't delete my question, I put in a lot of effort to type this

To avoid the risk of getting your messages deleted, please put also an effort into reading forum rules and your private messages.

What is energy of the electron on the 2p orbital of hydrogen atom? What is energy of the electron in the ground state of hydrogen atom? How much energy must be emitted for the electron to fall down?
 
u troll, The upper part metal corresponds to binding energy, it's clearly written, if you don't know the answer don't even bother to answer! That binding energy corresponds to Ag, which is a METAL. Even primary kids can understand this question. Jesus. Quote me on ALL THIS!
 

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