Here's how you can do that.
The azimuthal quantum number, which you'll often see as the angular momentum quantum number,
In other words, the angular momentum quantum number tells you the shape of the orbital in which the electron is located, but not its specific orientation.
The number of orbitals present in each energy subshell is given by the number of values that the magnetic quantum number,
#m_l = (-l, -(l-1), ..., -1, 0 ,1, ..., (l-1), l}#
As you can see the number of orbitals present in a given subshell
#"no. of orbitals" = 2l +1#
Now, you know that each orbital can hold a maximum of
This means that the maximum number of electrons that can occupy a given subshell
#"max no. of e"^(-) = 2 xx "no. of orbitals"#
which is equivalent to
#color(darkgreen)(ul(color(black)("max no. of orbitals" = 2 * (2l+1))))#
Let's take, for example, the
#"no. of orbitals" = 2 * 1 + 1 = 3#
#"max no. of e"^(-) = 2 * 3 = 6#
Therefore, you can say that for any energy level that has