exhaust vs waste matter

exhaust and waste matter both are nouns.

Word	Noun	Adjective	Verb	Adverb
exhaust	Yes	No	Yes	No
waste matter	Yes	No	No	No

As nouns, waste matter is a hypernym of exhaust; that is, waste matter is a word with a broader meaning than exhaust:

Other hypernyms of exhaust include waste, waste material, waste product, gas.

exhaust (noun)	waste matter (noun)
system consisting of the parts of an engine through which burned gases or steam are discharged	any materials unused and rejected as worthless or unwanted
gases ejected from an engine as waste products

exhaust (verb)	waste matter (verb)
wear out completely
eliminate (a substance)
use up the whole supply of
use up (resources or materials)
deplete