List all orbitals from 1s through 5s according to increasing energy for multielectron atoms. Rank orbitals from smallest to largest energy.

1s, 3p, 4p, 3s, 3d, 4s, 2p, 2s, 5s.

The given list of orbitals can be ranked as follow:

1s 2s 2p 3s 3p 4s 3d 4p 5s.

Explanation:

The given list of orbitals can be ranked as follow:

1s 2s 2p 3s 3p 4s 3d 4p 5s.

According to the Aufbau principal in ground state of elements electron first occupy the lower energy level then fill the higher energy levels. We know that there four subshells s, p, d and f. The maximum number of electrons in these subshells can be calculated by following formula:

2 (2l + 1)

and l = 0,1,2,3, ...

maximum numbers of electrons in s subshell are,

l=0

2 (2 (0) + 1)

2

so maximum electrons in s subshell are 2.

maximum numbers of electrons in p subshell are,

l = 1

2 (2 (1) + 1)

2 (2 + 1

6

so maximum electrons in p subshell are 6.

maximum numbers of electrons in d subshell are,

l = 2

2 (2 (2) + 1)

2 (4 + 1)

10

so maximum electrons in d subshell are 10.

maximum numbers of electrons in f subshell are,

l = 3

2 (2 (3) + 1)

2 (6 + 1)

14

so maximum electrons in f subshell are 14.

Electron first fill 1s subshell then 2s subshell and in this way they goes to higher energy levels.