Disarray is a term most often used to describe the state of untidiness. An example would be “The closet had so many clothes, it was in a state of disarray”. It can also be used as a verb and applies to someone or something being thrown into a state of disarray.

Chaos is a term that is most often used to describe a situation which is disorderly and where there is much confusion. An example is “There was not enough security at the concert, so there was chaos everywhere”.

Chaos is a noun. It is also used an an adjective.

”There was not enough security at the concert and this created a chaotic situation.”