How Many Orbitals in the 3rd Shell?

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The third shell contains a total of 9 orbitals, derived from the sum of the orbitals in its subshells. The s subshell contributes 1 orbital, the p subshell adds 3 orbitals, and the d subshell includes 5 orbitals. This calculation leads to the total of 9 orbitals for the third shell. Clarification was provided regarding the counting of orbitals, confirming that the 3s, 3p, and 3d subshells are included in this total. Understanding the structure of electron shells is crucial for grasping atomic theory.
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Question: There are ___ orbitals in the third shell.

25
4
9
1

I picked 4... but the answer is 9... How did they come up with this?
 
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I believe by adding together the orbitals of the subshells.

The s subshell has 1 orbital, the d has 3, and p has 5, hence 9 =)
 
Isnt that the fourth shell that you are counting from?

I was starting at 3s... with one orbital.. then 3p with 3 orbitals...
 
Then after that is 4s, but then it returns to 3d, which is 5 orbitals. So overall, the 3rd shell has 9 orbitals.
 
Gotcha... thank you.
 
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