For each value of the principal quantum number n, what are the possible values of the electron spin quantum number?

The values for spin quantum number + 1/2 and - 1/2

Explanation:

Principal quantum number denoted by (n) is used to describe the shell or orbits that electrons are found. Principal quantum number can assume a value of n = 1,2, 3, 4,5 ... which indicates K, L, M, N, O shell respectively.

To know the maximum number of electrons in each shell, the formula (2n²) can be used. The letter 'n' denotes the values of principal quantum number 1,2,3,4

For example

n=1 (K shell) has maximum number of 2 electrons n=2 (L shell) has the maximum number of 8 electrons n=3 (M shell) has the maximum number of 18 electrons n=4 (N shell) has the maximum number of 32 electrons

All the electron in each shell will have a spin quantum number of + 1/2 and - 1/2. One electron in each degenerate orbital will spin up (+1/2) while the other electron will spin down (-1/2).