Hell's Half Acre vs Hell's Kitchen

Hell's Half Acre and Hell's Kitchen both are nouns.

Word	Noun	Adjective	Verb	Adverb
Hell's Half Acre	Yes	No	No	No
Hell's Kitchen	Yes	No	No	No

As nouns, Hell's Half Acre and Hell's Kitchen are synonyms defined as:

Hell's Half Acre and Hell's Kitchen: a district in Manhattan formerly noted for its slums and vice

Hell's Half Acre (noun)	Hell's Kitchen (noun)
a district in Manhattan formerly noted for its slums and vice	a district in Manhattan formerly noted for its slums and vice