good vs commonweal

good and commonweal both are nouns.

Word	Noun	Adjective	Verb	Adverb
good	Yes	Yes	No	Yes
commonweal	Yes	No	No	No

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

Other hyponyms of good include common good.

good (noun)	commonweal (noun)
a raw material that is sold in large quantities, usually to other businesses for manufacturing or production purposes	the good of a community
benefit
moral excellence or admirableness
that which is pleasing or valuable or useful

good (adjective)	commonweal (adjective)
having desirable or positive qualities especially those suitable for a thing specified
morally admirable
promoting or enhancing well-being
having the normally expected amount
with or in a close or intimate relationship
thorough
generally admired
resulting favorably
not left to spoil
not forged
tending to promote physical well-being; beneficial to health
in excellent physical condition
appealing to the mind
agreeable or pleasing
exerting force or influence
most suitable or right for a particular purpose
capable of pleasing
deserving of esteem and respect
of moral excellence
having or showing knowledge and skill and aptitude
financially safe

good (adverb)	commonweal (adverb)
(often used as a combining form) in a good or proper or satisfactory manner or to a high standard (`good' is a nonstandard dialectal variant for `well')
completely and absolutely (`good' is sometimes used informally for `thoroughly')