exhaust (v.) Look up exhaust at Dictionary.com
1530s, "to draw off or out, to use up completely," from Latin exhaustus, past participle of exhaurire "draw off, take away, use up, empty," from ex- "off" (see ex-) + haurire "to draw up" (as water), from PIE *aus- (3) "to draw water." Meaning "make weak or helpless, as by fatigue" is from 1630s. Related: Exhausted; exhausting.
exhaust (n.) Look up exhaust at Dictionary.com
"waste gas," 1848, originally from steam engines, from exhaust (v.). In reference to internal combustion engines by 1896. Exhaust pipe is from 1889.