purity vs virtue

purity and virtue both are nouns.

Word	Noun	Adjective	Verb	Adverb
purity	Yes	No	No	No
virtue	Yes	No	No	No

As nouns, virtue is a hypernym of purity; that is, virtue is a word with a broader meaning than purity:

Other hypernyms of purity include chastity, sexual morality.

purity (noun)	virtue (noun)
a woman's virtue or chastity	the quality of doing what is right and avoiding what is wrong
being undiluted or unmixed with extraneous material	morality with respect to sexual relations
the state of being unsullied by sin or moral wrong; lacking a knowledge of evil	any admirable quality or attribute
	a particular moral excellence