state vs Commonwealth of Australia

state and Commonwealth of Australia both are nouns.

Word	Noun	Adjective	Verb	Adverb
state	Yes	No	Yes	No
Commonwealth of Australia	Yes	No	No	No

state (noun)	Commonwealth of Australia (noun)
the way something is with respect to its main attributes	a nation occupying the whole of the Australian continent; Aboriginal tribes are thought to have migrated from southeastern Asia 20,000 years ago; first Europeans were British convicts sent there as a penal colony
a politically organized body of people under a single government
the group of people comprising the government of a sovereign state
the territory occupied by a nation
the territory occupied by one of the constituent administrative districts of a nation
a state of depression or agitation
(chemistry) the three traditional states of matter are solids (fixed shape and volume) and liquids (fixed volume and shaped by the container) and gases (filling the container)

state (verb)	Commonwealth of Australia (verb)
express in words
put before
indicate through a symbol, formula, etc.