Question

the shell model the shell - model of the atom is a simplified version of the quantum - mechanical model. it describes the main electron energy levels, called principal energy levels, as shells. each principal energy level has a different number of sublevels, or subshells.
shell model explained
what is included in the shell model of the atom?
energy shells the number of the principal energy shell, n, increases as its distance from the nucleus increases. principal energy shell 1 is closest to the nucleus and has the lowest energy.
number of electrons each energy shell can hold a maximum number of electrons, 2n².
subshells each principal energy shell has subshells: s, p, d, and f. each subshell has one or more orbitals, shown by a □. each orbital can hold two electrons.
each shell has a certain number of subshells.
principal shell 1 2 3 4
subshells 1s 2s, 2p 3s, 3p 3d 4s, 4p 4d, 4f
each subshell has a specific number of orbitals.
subshell s p d f
number of orbitals 1 3 5 7
25 sep use models why does the number of electrons in each principal energy shell increase as the number of the shell increases?

Explanation:

As the principal energy shell number \(n\) increases, the number of sub - shells and orbitals increases. Since each orbital can hold 2 electrons, and the formula for the maximum number of electrons in a shell is \(2n^{2}\), more electrons can be accommodated. For example, shell 1 has 1 sub - shell (\(1s\)) with 1 orbital, holding 2 electrons. Shell 2 has 2 sub - shells (\(2s\) and \(2p\)) with a total of 4 orbitals, holding 8 electrons.

Answer:

As the shell number increases, the number of sub - shells and orbitals increases, allowing more electrons to be accommodated according to the formula \(2n^{2}\).