mental home vs hospital

mental home and hospital both are nouns.

Word	Noun	Adjective	Verb	Adverb
mental home	Yes	No	No	No
hospital	Yes	No	No	No

As nouns, hospital is a hypernym of mental home; that is, hospital is a word with a broader meaning than mental home:

Other hypernyms of mental home include infirmary.

mental home (noun)	hospital (noun)
a hospital for mentally incompetent or unbalanced person	a health facility where patients receive treatment
	a medical institution where sick or injured people are given medical or surgical care