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Answer: Why do the 3s, 3p, and 3d orbitals have the same

Chapter 7, Problem 68P

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QUESTION:

Why do the 3s, 3p, and 3d orbitals have the same energy in a hydrogen atom but different energies in a many-electron atom?

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QUESTION:

Why do the 3s, 3p, and 3d orbitals have the same energy in a hydrogen atom but different energies in a many-electron atom?

ANSWER:

Step 1 of 2

The energy of electron in the hydrogen atom is given by

   

Here, R is the Rydberg constant

‘n’ is the principal quantum number.

According to that equation electron in the hydrogen atom depends only on  the principal quantum number .

The increasing order of energies for hydrogen atom is as follows.

1s< 2s = 2p < 3s = 3p =3d < 4s =4p = 4d = 4f <.............

So, the 3s, 3p, and 3d orbitals have the same energy in a hydrogen atom

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