rightness vs appropriateness

rightness and appropriateness both are nouns.

Word	Noun	Adjective	Verb	Adverb
rightness	Yes	No	No	No
appropriateness	Yes	No	No	No

As nouns, rightness and appropriateness are synonyms defined as:

rightness and appropriateness: appropriate conduct; doing the right thing

rightness (noun)	appropriateness (noun)
according with conscience or morality	the quality of being specially suitable
conformity to fact or truth	appropriate conduct; doing the right thing
appropriate conduct; doing the right thing
conformity with some esthetic standard of correctness or propriety