wakefulness vs alertness

wakefulness and alertness both are nouns.

Word	Noun	Adjective	Verb	Adverb
wakefulness	Yes	No	No	No
alertness	Yes	No	No	No

As nouns, wakefulness and alertness are synonyms defined as:

wakefulness and alertness: the process of paying close and continuous attention

Other synonyms of wakefulness include vigilance, watchfulness.

wakefulness (noun)	alertness (noun)
a periodic state during which you are conscious and aware of the world	lively attentiveness
the process of paying close and continuous attention	the process of paying close and continuous attention
a temporary state in which you are unable (or unwilling) to sleep	a state of readiness to respond