How many electrons can be added to the fifth energy level?

1 Answer
Dec 7, 2016

Answer:

#"50 e"^(-)#

Explanation:

The maximum number of electrons that can occupy a given energy level #n# is given by

#color(blue)(ul(color(black)("max. no. of e"^(-) = 2n^2)))#

The idea here is that the number of orbitals that are present in an energy level #n# is given by

#color(blue)(ul(color(black)("no. of orbitrals" = n^2)))#

As you know, a given orbital can hold a maximum of #2# electrons, which is why the maximum number of electrons that can be added to a given energy level #n# is twice the number of orbitals present on said energy level.

In your case, #n=5#, which refers to the fifth energy level, holds

#"no. of orbitals" = 5^2#

#"no. of orbitals" = 25#

This means that the maximum number of electrons that can be added to the fifth energy level is

#color(darkgreen)(ul(color(black)("max no. of e"^(-) = 2 * 25 = "50 e"^(-))))#