How many electrons in an atom can have the following designations?

Question

5px

2s

n = 4

5p

7py

4f

how do u do these?

Answer 1

You need to remember that
n = principal quantum number and can take on values of 1, 2, 3, .....

l (as in ell) takes on integral values of 0, 1, 2, etc with the maximum being n-1.

m_s can take on integral values from -ell to + ell (including zero).

m_s takes on only two values; i.e., +1/2 and -1/2.
You need the above for the n=4 problem. For the others, we have 1 s orbital, 3 p orbitals, 5d orbitals, 7f orbitals.

Now, for one of the problems.
Pick 5px. There are 3 p orbitals, each p is orthogonal (that is they are mutally perpendicular to each other) so the 5px can hold two electrons, the 5py can hold two electrons and the 5pz can hold two electrons.
5p can hold 6.
7py is same as any px, py, or pz.
If there are 7 f orbitals and each hold 2 electrons, then there must be ...... total.
That should be enough to get you started.