alertness vs wakefulness

alertness and wakefulness both are nouns.

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

As nouns, alertness and wakefulness are synonyms defined as:

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

Other synonyms of alertness include vigilance, watchfulness.

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