Join thousands of students who trust us to help them ace their exams!Watch the first video
Multiple Choice
What is the maximum number of electrons that the n = 4 shell can contain?
A
16
B
24
C
32
D
8
Verified step by step guidance
1
Recall that the principal quantum number \( n \) defines the shell or energy level of an electron in an atom.
For a given \( n \), the possible values of the azimuthal quantum number \( l \) range from \( 0 \) to \( n-1 \). For \( n = 4 \), \( l \) can be 0, 1, 2, or 3.
Each \( l \) corresponds to a subshell: \( l=0 \) is s, \( l=1 \) is p, \( l=2 \) is d, and \( l=3 \) is f. The number of orbitals in each subshell is given by \( 2l + 1 \).
Calculate the total number of orbitals in the \( n=4 \) shell by summing the orbitals in each subshell: \( (2\times0+1) + (2\times1+1) + (2\times2+1) + (2\times3+1) \).
Since each orbital can hold 2 electrons (with opposite spins), multiply the total number of orbitals by 2 to find the maximum number of electrons in the \( n=4 \) shell.