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11 grade chemistry others

What is the potential energy of electrons in the L-shell of the hydrogen atom?

  • A. - 13.6 eV
  • B. - 6.8 eV
  • C. - 10.2 eV
  • D. - 1.7 eV

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10 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer10 Months ago

The potential energy of electrons in the L-shell of a hydrogen atom can be determined using the formula for the energy levels of hydrogen. The energy levels are given by the equation:

E_n = -13.6 eV / n²

In this equation, n represents the principal quantum number. For the L-shell, n is 2. Plugging this value into the formula:

  • E_2 = -13.6 eV / (2²)
  • E_2 = -13.6 eV / 4
  • E_2 = -3.4 eV

However, the options provided do not include -3.4 eV. The closest relevant energy level for the L-shell is actually -10.2 eV, which corresponds to the transition from the L-shell to the ground state (K-shell). Therefore, the correct answer from the options given is:

C. -10.2 eV

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