Inferno vs hellfire

Inferno and hellfire both are nouns.

Word	Noun	Adjective	Verb	Adverb
Inferno	Yes	No	No	No
hellfire	Yes	No	No	No

As nouns, hellfire is a hyponym of Inferno; that is, hellfire is a word with a more specific, narrower meaning than Inferno:

Inferno: (Christianity) the abode of Satan and the forces of evil; where sinners suffer eternal punishment
hellfire: a place of eternal fire envisaged as punishment for the damned

Other hyponyms of Inferno include Gehenna, Tartarus, red region.

Inferno (noun)	hellfire (noun)
(Christianity) the abode of Satan and the forces of evil; where sinners suffer eternal punishment	a place of eternal fire envisaged as punishment for the damned