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What is the total number of orbitals and electrons having n=3 where l=1 and 2

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Final answer:

The principal shell with n=3 has one 3p subshell, and two subshells - 3d and 3f - with l=2. The 3p subshell has 3 total orbitals, while the 3d and 3f subshells each have 5 orbitals. The maximum number of electrons in the 3p subshell is 6 and in the 3d and 3f subshells, it is 10.

Step-by-step explanation:

For the principal shell with n=3, the number of subshells present can be determined by the values of l that are possible. For l=1, there is only one possible subshell, which is the 3p subshell. For l=2, there are two possible subshells, which are the 3d and 3f subshells. Each subshell consists of one or more orbitals.

The number of orbitals in a subshell is determined by the formula 2(l)+1. Therefore, for l=1 (3p), there are a total of 3 orbitals, and for l=2 (3d and 3f), there are a total of 5 orbitals.

To find the total number of electrons in each subshell, we use the formula 2n^2, where n is the principal quantum number. So for the 3p subshell, there can be a maximum of 6 electrons, and for the 3d and 3f subshells, there can be a maximum of 10 electrons.

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