Respuesta :

Answer: 4

Explanation:

Principle Quantum Numbers: This quantum number describes the size of the orbital. It is represented by n.

Azimuthal Quantum Number: This quantum number 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: This quantum number 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.

Given : a f subshell, thus l = 3 , Thus the subshells present would be 3, 2, 1, 0 and thus n will have a value of 4.

Also electrons give are 32.

The formula for number of electrons is [tex]2n^2[/tex].

[tex]2n^2=32[/tex]

[tex]n=4[/tex]

Thus principal quantum no will be n= 4.

Answer:

The shell which holds 32 electrons is fourth shell.

Explanation:

Principle Quantum Numbers: This quantum number describes the size of the orbital. It is represented by n.

Number of elections in nth shell is given by formula :[tex]2n^2[/tex]

Number of electrons in ,n=1 : [tex]2(1)^2=2[/tex]

Number of electrons in ,n=2 : [tex]2(2)^2=8[/tex]

Number of electrons in ,n=3 : [tex]2(3)^2=18[/tex]

Number of electrons in ,n=4 : [tex]2(4)^2=32[/tex]

Number of electrons in ,n=4 : [tex]2(5)^2=50[/tex]

The shell which holds 32 electrons is fourth shell.