sleeping room vs bedchamber

sleeping room and bedchamber both are nouns.

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

As nouns, sleeping room and bedchamber are synonyms defined as:

Other synonyms of sleeping room include bedroom, chamber, sleeping accommodation.

sleeping room (noun)	bedchamber (noun)
a room used primarily for sleeping	a room used primarily for sleeping