asperity vs hardship

asperity and hardship both are nouns.

Word	Noun	Adjective	Verb	Adverb
asperity	Yes	No	No	No
hardship	Yes	No	No	No

As nouns, asperity and hardship are synonyms defined as:

Other synonyms of asperity include grimness, rigor, rigorousness, rigour, rigourousness, severeness, severity.

asperity (noun)	hardship (noun)
something hard to endure	something hard to endure
harshness of manner	something that causes or entails suffering
	a state of misfortune or affliction