bedchamber vs sleeping room

bedchamber and sleeping room both are nouns.

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

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

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

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