dorm room vs bedchamber

dorm room and bedchamber both are nouns.

Word	Noun	Adjective	Verb	Adverb
dorm room	Yes	No	No	No
bedchamber	Yes	No	No	No

As nouns, bedchamber is a hypernym of dorm room; that is, bedchamber is a word with a broader meaning than dorm room:

Other hypernyms of dorm room include bedroom, chamber, sleeping accommodation, sleeping room.

dorm room (noun)	bedchamber (noun)
a large sleeping room containing several beds	a room used primarily for sleeping