eliminate vs exhaust

eliminate is not a noun while exhaust is a noun.

Word	Noun	Adjective	Verb	Adverb
eliminate	No	No	Yes	No
exhaust	Yes	No	Yes	No

As verbs, exhaust is a hypernym of eliminate; that is, exhaust is a word with a broader meaning than eliminate:

Other hypernyms of eliminate include discharge, eject, expel, release.

eliminate (noun)	exhaust (noun)
	system consisting of the parts of an engine through which burned gases or steam are discharged
	gases ejected from an engine as waste products

eliminate (verb)	exhaust (verb)
eliminate from the body	wear out completely
kill in large numbers	eliminate (a substance)
terminate, end, or take out	use up the whole supply of
remove (an unknown variable) from two or more equations	use up (resources or materials)
dismiss from consideration or a contest	deplete
remove from a contest or race
get rid of something