Red China vs PRC

Red China and PRC both are nouns.

Word	Noun	Adjective	Verb	Adverb
Red China	Yes	No	No	No
PRC	Yes	No	No	No

As nouns, Red China and PRC are synonyms defined as:

Red China and PRC: a communist nation that covers a vast territory in eastern Asia; the most populous country in the world

Other synonyms of Red China include Cathay, China, Communist China, mainland China, People's Republic of China.

Red China (noun)	PRC (noun)
a communist nation that covers a vast territory in eastern Asia; the most populous country in the world	a communist nation that covers a vast territory in eastern Asia; the most populous country in the world