morality vs chastity

morality and chastity both are nouns.

Word	Noun	Adjective	Verb	Adverb
morality	Yes	No	No	No
chastity	Yes	No	No	No

As nouns, chastity is a hyponym of morality; that is, chastity is a word with a more specific, narrower meaning than morality:

morality: concern with the distinction between good and evil or right and wrong; right or good conduct
chastity: morality with respect to sexual relations

Other hyponyms of morality include righteousness, rightness, conscience, good, goodness, sexual morality, virtue, ethicality.

morality (noun)	chastity (noun)
concern with the distinction between good and evil or right and wrong; right or good conduct	abstaining from sexual relations (as because of religious vows)
motivation based on ideas of right and wrong	morality with respect to sexual relations