dormitory vs residence hall

dormitory and residence hall both are nouns.

Word	Noun	Adjective	Verb	Adverb
dormitory	Yes	No	No	No
residence hall	Yes	No	No	No

As nouns, dormitory and residence hall are synonyms defined as:

dormitory and residence hall: a college or university building containing living quarters for students

Other synonyms of dormitory include dorm, hall, student residence.

dormitory (noun)	residence hall (noun)
a college or university building containing living quarters for students	a college or university building containing living quarters for students
a large sleeping room containing several beds