alert vs awake

alert is a noun but awake is not a noun.

Word	Noun	Adjective	Verb	Adverb
alert	Yes	Yes	Yes	No
awake	No	Yes	Yes	No

As adjectives, alert and awake are synonyms defined as:

Other synonyms of alert include alive.

alert (noun)	awake (noun)
a warning serves to make you more alert to danger
an automatic signal (usually a sound) warning of danger
condition of heightened watchfulness or preparation for action

alert (adjective)	awake (adjective)
engaged in or accustomed to close observation	not in a state of sleep; completely conscious
mentally perceptive and responsive	mentally perceptive and responsive
quick and energetic

alert (verb)	awake (verb)
warn or arouse to a sense of danger or call to a state of preparedness	stop sleeping