How many orbitals are there in the seventh shell ?

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How many orbitals are there in the seventh shell ?

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Answer 1 · 2015-10-06T23:31:38

$49$ $49$

Explanation:

You can determine the number of orbitals you have in a particular shell by using the principal quantum number, $n$ $n$ .

More specifically, the number of orbitals that can be found in each shell is given by

$no. of orbitals = n^{2}$ $"no. of orbitals" = n^2$

So, for the first shell you have

$no. of orbitals = 1^{2} = 1$ $"no. of orbitals" = 1^2 = 1$

For the second shell you have

$no. of orbitals = 2^{2} = 4$ $"no. of orbitals" = 2^2 = 4$

In your case, the seventh shell will contain

$no. of orbitals = 7^{2} = 49$ $"no. of orbitals" = 7^2 = 49$

Notice that you can easily find the number of electrons that an atom can accomodate on a particular shell, or energy level, by using the fact that each orbital can hold a maximum of two electrons.

In the case of the seventh shell, those $49$ $49$ orbitals will hold a maximum of

$no. of electrons = 2 \cdot 49 = {98 e}^{-}$ $"no. of electrons" = 2 * 49 = "98 e"^(-)$

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How many orbitals are there in the seventh shell ?

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