Hell's Kitchen vs Hell's Half Acre

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

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

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

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

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