expectorate vs exhaust

expectorate is not a noun while exhaust is a noun.

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

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

expectorate: discharge (phlegm or sputum) from the lungs and out of the mouth
exhaust: eliminate (a substance)

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

expectorate (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

expectorate (verb)	exhaust (verb)
discharge (phlegm or sputum) from the lungs and out of the mouth	wear out completely
clear out the chest and lungs	eliminate (a substance)
	use up the whole supply of
	use up (resources or materials)
	deplete