spew out vs exhaust

spew out is not a noun while exhaust is a noun.

Word	Noun	Adjective	Verb	Adverb
spew out	No	No	Yes	No
exhaust	Yes	No	Yes	No

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

Other hypernyms of spew out include discharge, eject, expel, release.

spew out (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

spew out (verb)	exhaust (verb)
eject or send out in large quantities, also metaphorical	wear out completely
	eliminate (a substance)
	use up the whole supply of
	use up (resources or materials)
	deplete