How many electrons can be held in a sublevel l = 3?

Azimuthal Quantum Number : It describes the shape of the orbital. It is represented as 'l'. The value of l ranges from 0 to (n-1). For l = 0,1,2,3... the orbitals are s, p, d, f...

Magnetic Quantum Number : It describes the orientation of the orbitals. It is represented as [tex]m_l[/tex]. The value of this quantum number ranges from [tex](-l\text{ to }+l)[/tex]. When l = 2, the value of [tex]m_l[/tex] will be -2, -1, 0, +1, +2.

Spin Quantum number : It describes the direction of electron spin. This is represented as [tex]m_s[/tex] The value of this is [tex]+\frac{1}{2}[/tex] for upward spin and [tex]-\frac{1}{2}[/tex] for downward spin.

As we are given that,

[tex]l=3[/tex]

[tex]m_l=-3,-2,-1,0,1,2,3[/tex]

[tex]m_s=+\frac{1}{2}\text{ and }-\frac{1}{2}[/tex] (For each sub-shell)

From this we conclude that, there are 7 orbitals and each orbital contains 2 electrons. So, the number of electrons held in sub-level l = 3 are, [tex]7\times 2=14[/tex] electrons.

Hence, the number of electrons held in sub-level l = 3 can be, 14 electrons

dsdrajlin dsdrajlin · Answer 2 · 2021-09-24T16:37:30+02:00

14 electrons can be held in the sublevel l = 3.

In an atom, electrons are characterized by 4 quantum numbers. "l" is the second quantum number, known as the angular or orbital quantum number, and it describes the sublevel of energy in which the electron is. When l = 0, the sublevel is "s", when l = 1, the sublevel is "p", when l = 2, the sublevel is "d" and when l = 3 the sublevel is "f". We can calculate the number of electrons in the sublevel "f" considering that:

There are 7 "f" orbitals in the sublevel "f".

There can be up to 2 electrons in each orbital.

The number of electrons in the sublevel "f" is:

[tex]1 sublevel \times \frac{7 orbital}{1 sublevel} \times \frac{2 electrons}{1 orbital} = 14 electrons[/tex]

14 electrons can be held in the sublevel l = 3.

You can learn more about quantum numbers here: https://brainly.com/question/16746749