Calculating Zeff in Xenon (Z=54) for M (n=3) Shell

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SUMMARY

The effective nuclear charge (Zeff) experienced by an electron in the M (n=3) shell of xenon (Z=54) is calculated using the formula Zeff = Z - total electrons in K and L shells. In this case, the total electrons in the K shell are 8 and in the L shell are 18, leading to Zeff = 54 - 26 = 28. This calculation is confirmed as correct, providing a definitive value for Zeff in xenon.

PREREQUISITES
  • Understanding of atomic structure and electron shells
  • Familiarity with the concept of effective nuclear charge
  • Knowledge of the periodic table and electron configuration
  • Basic algebra for performing calculations
NEXT STEPS
  • Study the concept of electron shielding and its impact on Zeff
  • Learn about the electron configuration of xenon and other noble gases
  • Explore the implications of Zeff on chemical reactivity and bonding
  • Investigate the calculation of Zeff for other elements in different shells
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Chemistry students, educators, and anyone interested in atomic theory and effective nuclear charge calculations.

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Homework Statement



In xenon (Z = 54), what is the effective charge Zeff experienced by an electron in the M (n=3) shell?


Homework Equations



Zeff = Z - total electrons in K and L shells

The Attempt at a Solution



I think total electrons in K shell are 8 and in L shell are 18
then Zeff = 54-26 = 28

but I got wrong..

please help me..
 
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never mind.. I got it.. :)
 
how>?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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