cardinalate vs College of Cardinals

cardinalate and College of Cardinals both are nouns.

Word	Noun	Adjective	Verb	Adverb
cardinalate	Yes	No	No	No
College of Cardinals	Yes	No	No	No

As nouns, cardinalate and College of Cardinals are synonyms defined as:

cardinalate and College of Cardinals: (Roman Catholic Church) the body of all cardinals of the church; elects and advises the pope

Other synonyms of cardinalate include Sacred College, Sacred College of Cardinals.

cardinalate (noun)	College of Cardinals (noun)
the office of cardinal	(Roman Catholic Church) the body of all cardinals of the church; elects and advises the pope
(Roman Catholic Church) the body of all cardinals of the church; elects and advises the pope